Internet Research Task Force (IRTF) R. Barnes
Request for Comments: 9180 Cisco
Category: Informational K. Bhargavan
ISSN: 2070-1721 B. Lipp
Inria
C. Wood
Cloudflare
February 2022
Hybrid Public Key Encryption
Abstract
This document describes a scheme for hybrid public key encryption
(HPKE). This scheme provides a variant of public key encryption of
arbitrary-sized plaintexts for a recipient public key. It also
includes three authenticated variants, including one that
authenticates possession of a pre-shared key and two optional ones
that authenticate possession of a key encapsulation mechanism (KEM)
private key. HPKE works for any combination of an asymmetric KEM,
key derivation function (KDF), and authenticated encryption with
additional data (AEAD) encryption function. Some authenticated
variants may not be supported by all KEMs. We provide instantiations
of the scheme using widely used and efficient primitives, such as
Elliptic Curve Diffie-Hellman (ECDH) key agreement, HMAC-based key
derivation function (HKDF), and SHA2.
This document is a product of the Crypto Forum Research Group (CFRG)
in the IRTF.
Status of This Memo
This document is not an Internet Standards Track specification; it is
published for informational purposes.
This document is a product of the Internet Research Task Force
(IRTF). The IRTF publishes the results of Internet-related research
and development activities. These results might not be suitable for
deployment. This RFC represents the consensus of the Crypto Forum
Research Group of the Internet Research Task Force (IRTF). Documents
approved for publication by the IRSG are not candidates for any level
of Internet Standard; see Section 2 of RFC 7841.
Information about the current status of this document, any errata,
and how to provide feedback on it may be obtained at
https://www.rfc-editor.org/info/rfc9180.
Copyright Notice
Copyright (c) 2022 IETF Trust and the persons identified as the
document authors. All rights reserved.
This document is subject to BCP 78 and the IETF Trust's Legal
Provisions Relating to IETF Documents
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Table of Contents
1. Introduction
2. Requirements Notation
3. Notation
4. Cryptographic Dependencies
4.1. DH-Based KEM (DHKEM)
5. Hybrid Public Key Encryption
5.1. Creating the Encryption Context
5.1.1. Encryption to a Public Key
5.1.2. Authentication Using a Pre-Shared Key
5.1.3. Authentication Using an Asymmetric Key
5.1.4. Authentication Using Both a PSK and an Asymmetric Key
5.2. Encryption and Decryption
5.3. Secret Export
6. Single-Shot APIs
6.1. Encryption and Decryption
6.2. Secret Export
7. Algorithm Identifiers
7.1. Key Encapsulation Mechanisms (KEMs)
7.1.1. SerializePublicKey and DeserializePublicKey
7.1.2. SerializePrivateKey and DeserializePrivateKey
7.1.3. DeriveKeyPair
7.1.4. Validation of Inputs and Outputs
7.1.5. Future KEMs
7.2. Key Derivation Functions (KDFs)
7.2.1. Input Length Restrictions
7.3. Authenticated Encryption with Associated Data (AEAD)
Functions
8. API Considerations
8.1. Auxiliary Authenticated Application Information
8.2. Errors
9. Security Considerations
9.1. Security Properties
9.1.1. Key-Compromise Impersonation
9.1.2. Computational Analysis
9.1.3. Post-Quantum Security
9.2. Security Requirements on a KEM Used within HPKE
9.2.1. Encap/Decap Interface
9.2.2. AuthEncap/AuthDecap Interface
9.2.3. KEM Key Reuse
9.3. Security Requirements on a KDF
9.4. Security Requirements on an AEAD
9.5. Pre-Shared Key Recommendations
9.6. Domain Separation
9.7. Application Embedding and Non-Goals
9.7.1. Message Order and Message Loss
9.7.2. Downgrade Prevention
9.7.3. Replay Protection
9.7.4. Forward Secrecy
9.7.5. Bad Ephemeral Randomness
9.7.6. Hiding Plaintext Length
9.8. Bidirectional Encryption
9.9. Metadata Protection
10. Message Encoding
11. IANA Considerations
11.1. KEM Identifiers
11.2. KDF Identifiers
11.3. AEAD Identifiers
12. References
12.1. Normative References
12.2. Informative References
Appendix A. Test Vectors
A.1. DHKEM(X25519, HKDF-SHA256), HKDF-SHA256, AES-128-GCM
A.1.1. Base Setup Information
A.1.2. PSK Setup Information
A.1.3. Auth Setup Information
A.1.4. AuthPSK Setup Information
A.2. DHKEM(X25519, HKDF-SHA256), HKDF-SHA256, ChaCha20Poly1305
A.2.1. Base Setup Information
A.2.2. PSK Setup Information
A.2.3. Auth Setup Information
A.2.4. AuthPSK Setup Information
A.3. DHKEM(P-256, HKDF-SHA256), HKDF-SHA256, AES-128-GCM
A.3.1. Base Setup Information
A.3.2. PSK Setup Information
A.3.3. Auth Setup Information
A.3.4. AuthPSK Setup Information
A.4. DHKEM(P-256, HKDF-SHA256), HKDF-SHA512, AES-128-GCM
A.4.1. Base Setup Information
A.4.2. PSK Setup Information
A.4.3. Auth Setup Information
A.4.4. AuthPSK Setup Information
A.5. DHKEM(P-256, HKDF-SHA256), HKDF-SHA256, ChaCha20Poly1305
A.5.1. Base Setup Information
A.5.2. PSK Setup Information
A.5.3. Auth Setup Information
A.5.4. AuthPSK Setup Information
A.6. DHKEM(P-521, HKDF-SHA512), HKDF-SHA512, AES-256-GCM
A.6.1. Base Setup Information
A.6.2. PSK Setup Information
A.6.3. Auth Setup Information
A.6.4. AuthPSK Setup Information
A.7. DHKEM(X25519, HKDF-SHA256), HKDF-SHA256, Export-Only AEAD
A.7.1. Base Setup Information
A.7.2. PSK Setup Information
A.7.3. Auth Setup Information
A.7.4. AuthPSK Setup Information
Acknowledgements
Authors' Addresses
1. Introduction
Encryption schemes that combine asymmetric and symmetric algorithms
have been specified and practiced since the early days of public key
cryptography, e.g., [RFC1421]. Combining the two yields the key
management advantages of asymmetric cryptography and the performance
benefits of symmetric cryptography. The traditional combination has
been "encrypt the symmetric key with the public key." "Hybrid"
public key encryption (HPKE) schemes, specified here, take a
different approach: "generate the symmetric key and its encapsulation
with the public key." Specifically, encrypted messages convey an
encryption key encapsulated with a public key scheme, along with one
or more arbitrary-sized ciphertexts encrypted using that key. This
type of public key encryption has many applications in practice,
including Messaging Layer Security [MLS-PROTOCOL] and TLS Encrypted
ClientHello [TLS-ECH].
Currently, there are numerous competing and non-interoperable
standards and variants for hybrid encryption, mostly variants on the
Elliptic Curve Integrated Encryption Scheme (ECIES), including ANSI
X9.63 (ECIES) [ANSI], IEEE 1363a [IEEE1363], ISO/IEC 18033-2 [ISO],
and SECG SEC 1 [SECG]. See [MAEA10] for a thorough comparison. All
these existing schemes have problems, e.g., because they rely on
outdated primitives, lack proofs of indistinguishable (adaptive)
chosen-ciphertext attack (IND-CCA2) security, or fail to provide test
vectors.
This document defines an HPKE scheme that provides a subset of the
functions provided by the collection of schemes above but specified
with sufficient clarity that they can be interoperably implemented.
The HPKE construction defined herein is secure against (adaptive)
chosen ciphertext attacks (IND-CCA2-secure) under classical
assumptions about the underlying primitives [HPKEAnalysis]
[ABHKLR20]. A summary of these analyses is in Section 9.1.
This document represents the consensus of the Crypto Forum Research
Group (CFRG).
2. Requirements Notation
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
"SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
"OPTIONAL" in this document are to be interpreted as described in
BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all
capitals, as shown here.
3. Notation
The following terms are used throughout this document to describe the
operations, roles, and behaviors of HPKE:
(skX, pkX): A key encapsulation mechanism (KEM) key pair used in
role X, where X is one of S, R, or E as sender, recipient, and
ephemeral, respectively; skX is the private key and pkX is the
public key.
pk(skX): The KEM public key corresponding to the KEM private key
skX.
Sender (S): Role of entity that sends an encrypted message.
Recipient (R): Role of entity that receives an encrypted message.
Ephemeral (E): Role of a fresh random value meant for one-time use.
I2OSP(n, w): Convert non-negative integer n to a w-length, big-
endian byte string, as described in [RFC8017].
OS2IP(x): Convert byte string x to a non-negative integer, as
described in [RFC8017], assuming big-endian byte order.
concat(x0, ..., xN): Concatenation of byte strings. concat(0x01,
0x0203, 0x040506) = 0x010203040506.
random(n): A pseudorandom byte string of length n bytes
xor(a,b): XOR of byte strings; xor(0xF0F0, 0x1234) = 0xE2C4. It is
an error to call this function with two arguments of unequal
length.
4. Cryptographic Dependencies
HPKE variants rely on the following primitives:
* A key encapsulation mechanism (KEM):
- GenerateKeyPair(): Randomized algorithm to generate a key pair
(skX, pkX).
- DeriveKeyPair(ikm): Deterministic algorithm to derive a key
pair (skX, pkX) from the byte string ikm, where ikm SHOULD have
at least Nsk bytes of entropy (see Section 7.1.3 for
discussion).
- SerializePublicKey(pkX): Produce a byte string of length Npk
encoding the public key pkX.
- DeserializePublicKey(pkXm): Parse a byte string of length Npk
to recover a public key. This function can raise a
DeserializeError error upon pkXm deserialization failure.
- Encap(pkR): Randomized algorithm to generate an ephemeral,
fixed-length symmetric key (the KEM shared secret) and a fixed-
length encapsulation of that key that can be decapsulated by
the holder of the private key corresponding to pkR. This
function can raise an EncapError on encapsulation failure.
- Decap(enc, skR): Deterministic algorithm using the private key
skR to recover the ephemeral symmetric key (the KEM shared
secret) from its encapsulated representation enc. This
function can raise a DecapError on decapsulation failure.
- AuthEncap(pkR, skS) (optional): Same as Encap(), and the
outputs encode an assurance that the KEM shared secret was
generated by the holder of the private key skS.
- AuthDecap(enc, skR, pkS) (optional): Same as Decap(), and the
recipient is assured that the KEM shared secret was generated
by the holder of the private key skS.
- Nsecret: The length in bytes of a KEM shared secret produced by
this KEM.
- Nenc: The length in bytes of an encapsulated key produced by
this KEM.
- Npk: The length in bytes of an encoded public key for this KEM.
- Nsk: The length in bytes of an encoded private key for this
KEM.
* A key derivation function (KDF):
- Extract(salt, ikm): Extract a pseudorandom key of fixed length
Nh bytes from input keying material ikm and an optional byte
string salt.
- Expand(prk, info, L): Expand a pseudorandom key prk using
optional string info into L bytes of output keying material.
- Nh: The output size of the Extract() function in bytes.
* An AEAD encryption algorithm [RFC5116]:
- Seal(key, nonce, aad, pt): Encrypt and authenticate plaintext
pt with associated data aad using symmetric key key and nonce
nonce, yielding ciphertext and tag ct. This function can raise
a MessageLimitReachedError upon failure.
- Open(key, nonce, aad, ct): Decrypt ciphertext and tag ct using
associated data aad with symmetric key key and nonce nonce,
returning plaintext message pt. This function can raise an
OpenError or MessageLimitReachedError upon failure.
- Nk: The length in bytes of a key for this algorithm.
- Nn: The length in bytes of a nonce for this algorithm.
- Nt: The length in bytes of the authentication tag for this
algorithm.
Beyond the above, a KEM MAY also expose the following functions,
whose behavior is detailed in Section 7.1.2:
* SerializePrivateKey(skX): Produce a byte string of length Nsk
encoding the private key skX.
* DeserializePrivateKey(skXm): Parse a byte string of length Nsk to
recover a private key. This function can raise a DeserializeError
error upon skXm deserialization failure.
A _ciphersuite_ is a triple (KEM, KDF, AEAD) containing a choice of
algorithm for each primitive.
A set of algorithm identifiers for concrete instantiations of these
primitives is provided in Section 7. Algorithm identifier values are
two bytes long.
Note that GenerateKeyPair can be implemented as
DeriveKeyPair(random(Nsk)).
The notation pk(skX), depending on its use and the KEM and its
implementation, is either the computation of the public key using the
private key, or just syntax expressing the retrieval of the public
key, assuming it is stored along with the private key object.
The following two functions are defined to facilitate domain
separation of KDF calls as well as context binding:
def LabeledExtract(salt, label, ikm):
labeled_ikm = concat("HPKE-v1", suite_id, label, ikm)
return Extract(salt, labeled_ikm)
def LabeledExpand(prk, label, info, L):
labeled_info = concat(I2OSP(L, 2), "HPKE-v1", suite_id,
label, info)
return Expand(prk, labeled_info, L)
The value of suite_id depends on where the KDF is used; it is assumed
implicit from the implementation and not passed as a parameter. If
used inside a KEM algorithm, suite_id MUST start with "KEM" and
identify this KEM algorithm; if used in the remainder of HPKE, it
MUST start with "HPKE" and identify the entire ciphersuite in use.
See Sections 4.1 and 5.1 for details.
4.1. DH-Based KEM (DHKEM)
Suppose we are given a KDF, and a Diffie-Hellman (DH) group providing
the following operations:
* DH(skX, pkY): Perform a non-interactive Diffie-Hellman exchange
using the private key skX and public key pkY to produce a Diffie-
Hellman shared secret of length Ndh. This function can raise a
ValidationError as described in Section 7.1.4.
* Ndh: The length in bytes of a Diffie-Hellman shared secret
produced by DH().
* Nsk: The length in bytes of a Diffie-Hellman private key.
Then we can construct a KEM that implements the interface defined in
Section 4 called DHKEM(Group, KDF) in the following way, where Group
denotes the Diffie-Hellman group and KDF denotes the KDF. The
function parameters pkR and pkS are deserialized public keys, and enc
is a serialized public key. Since encapsulated keys are Diffie-
Hellman public keys in this KEM algorithm, we use
SerializePublicKey() and DeserializePublicKey() to encode and decode
them, respectively. Npk equals Nenc. GenerateKeyPair() produces a
key pair for the Diffie-Hellman group in use. Section 7.1.3 contains
the DeriveKeyPair() function specification for DHKEMs defined in this
document.
def ExtractAndExpand(dh, kem_context):
eae_prk = LabeledExtract("", "eae_prk", dh)
shared_secret = LabeledExpand(eae_prk, "shared_secret",
kem_context, Nsecret)
return shared_secret
def Encap(pkR):
skE, pkE = GenerateKeyPair()
dh = DH(skE, pkR)
enc = SerializePublicKey(pkE)
pkRm = SerializePublicKey(pkR)
kem_context = concat(enc, pkRm)
shared_secret = ExtractAndExpand(dh, kem_context)
return shared_secret, enc
def Decap(enc, skR):
pkE = DeserializePublicKey(enc)
dh = DH(skR, pkE)
pkRm = SerializePublicKey(pk(skR))
kem_context = concat(enc, pkRm)
shared_secret = ExtractAndExpand(dh, kem_context)
return shared_secret
def AuthEncap(pkR, skS):
skE, pkE = GenerateKeyPair()
dh = concat(DH(skE, pkR), DH(skS, pkR))
enc = SerializePublicKey(pkE)
pkRm = SerializePublicKey(pkR)
pkSm = SerializePublicKey(pk(skS))
kem_context = concat(enc, pkRm, pkSm)
shared_secret = ExtractAndExpand(dh, kem_context)
return shared_secret, enc
def AuthDecap(enc, skR, pkS):
pkE = DeserializePublicKey(enc)
dh = concat(DH(skR, pkE), DH(skR, pkS))
pkRm = SerializePublicKey(pk(skR))
pkSm = SerializePublicKey(pkS)
kem_context = concat(enc, pkRm, pkSm)
shared_secret = ExtractAndExpand(dh, kem_context)
return shared_secret
The implicit suite_id value used within LabeledExtract and
LabeledExpand is defined as follows, where kem_id is defined in
Section 7.1:
suite_id = concat("KEM", I2OSP(kem_id, 2))
The KDF used in DHKEM can be equal to or different from the KDF used
in the remainder of HPKE, depending on the chosen variant.
Implementations MUST make sure to use the constants (Nh) and function
calls (LabeledExtract and LabeledExpand) of the appropriate KDF when
implementing DHKEM. See Section 9.3 for a comment on the choice of a
KDF for the remainder of HPKE, and Section 9.6 for the rationale of
the labels.
For the variants of DHKEM defined in this document, the size Nsecret
of the KEM shared secret is equal to the output length of the hash
function underlying the KDF. For P-256, P-384, and P-521, the size
Ndh of the Diffie-Hellman shared secret is equal to 32, 48, and 66,
respectively, corresponding to the x-coordinate of the resulting
elliptic curve point [IEEE1363]. For X25519 and X448, the size Ndh
is equal to 32 and 56, respectively (see [RFC7748], Section 5).
It is important to note that the AuthEncap() and AuthDecap()
functions of the DHKEM variants defined in this document are
vulnerable to key-compromise impersonation (KCI). This means the
assurance that the KEM shared secret was generated by the holder of
the private key skS does not hold if the recipient private key skR is
compromised. See Section 9.1 for more details.
Senders and recipients MUST validate KEM inputs and outputs as
described in Section 7.1.
5. Hybrid Public Key Encryption
In this section, we define a few HPKE variants. All variants take a
recipient public key and a sequence of plaintexts pt and produce an
encapsulated key enc and a sequence of ciphertexts ct. These outputs
are constructed so that only the holder of skR can decapsulate the
key from enc and decrypt the ciphertexts. All the algorithms also
take an info parameter that can be used to influence the generation
of keys (e.g., to fold in identity information) and an aad parameter
that provides additional authenticated data to the AEAD algorithm in
use.
In addition to the base case of encrypting to a public key, we
include three authenticated variants: one that authenticates
possession of a pre-shared key, one that authenticates possession of
a KEM private key, and one that authenticates possession of both a
pre-shared key and a KEM private key. All authenticated variants
contribute additional keying material to the encryption operation.
The following one-byte values will be used to distinguish between
modes:
+===============+=======+
| Mode | Value |
+===============+=======+
| mode_base | 0x00 |
+---------------+-------+
| mode_psk | 0x01 |
+---------------+-------+
| mode_auth | 0x02 |
+---------------+-------+
| mode_auth_psk | 0x03 |
+---------------+-------+
Table 1: HPKE Modes
All these cases follow the same basic two-step pattern:
1. Set up an encryption context that is shared between the sender
and the recipient.
2. Use that context to encrypt or decrypt content.
A _context_ is an implementation-specific structure that encodes the
AEAD algorithm and key in use, and manages the nonces used so that
the same nonce is not used with multiple plaintexts. It also has an
interface for exporting secret values, as described in Section 5.3.
See Section 5.2 for a description of this structure and its
interfaces. HPKE decryption fails when the underlying AEAD
decryption fails.
The constructions described here presume that the relevant non-
private parameters (enc, psk_id, etc.) are transported between the
sender and the recipient by some application making use of HPKE.
Moreover, a recipient with more than one public key needs some way of
determining which of its public keys was used for the encapsulation
operation. As an example, applications may send this information
alongside a ciphertext from the sender to the recipient.
Specification of such a mechanism is left to the application. See
Section 10 for more details.
Note that some KEMs may not support AuthEncap() or AuthDecap(). For
such KEMs, only mode_base or mode_psk are supported. Future
specifications which define new KEMs MUST indicate whether these
modes are supported. See Section 7.1.5 for more details.
The procedures described in this section are laid out in a Python-
like pseudocode. The algorithms in use are left implicit.
5.1. Creating the Encryption Context
The variants of HPKE defined in this document share a common key
schedule that translates the protocol inputs into an encryption
context. The key schedule inputs are as follows:
* mode: A one-byte value indicating the HPKE mode, defined in
Table 1.
* shared_secret: A KEM shared secret generated for this transaction.
* info: Application-supplied information (optional; default value
"").
* psk A pre-shared key (PSK) held by both the sender and the
recipient (optional; default value "").
* psk_id: An identifier for the PSK (optional; default value "").
Senders and recipients MUST validate KEM inputs and outputs as
described in Section 7.1.
The psk and psk_id fields MUST appear together or not at all. That
is, if a non-default value is provided for one of them, then the
other MUST be set to a non-default value. This requirement is
encoded in VerifyPSKInputs() below.
The psk, psk_id, and info fields have maximum lengths that depend on
the KDF itself, on the definition of LabeledExtract(), and on the
constant labels used together with them. See Section 7.2.1 for
precise limits on these lengths.
The key, base_nonce, and exporter_secret computed by the key schedule
have the property that they are only known to the holder of the
recipient private key, and the entity that used the KEM to generate
shared_secret and enc.
In the Auth and AuthPSK modes, the recipient is assured that the
sender held the private key skS. This assurance is limited for the
DHKEM variants defined in this document because of key-compromise
impersonation, as described in Sections 4.1 and 9.1. If in the PSK
and AuthPSK modes, the psk and psk_id arguments are provided as
required, then the recipient is assured that the sender held the
corresponding pre-shared key. See Section 9.1 for more details.
The HPKE algorithm identifiers, i.e., the KEM kem_id, KDF kdf_id, and
AEAD aead_id 2-byte code points, as defined in Tables 2, 3, and 5,
respectively, are assumed implicit from the implementation and not
passed as parameters. The implicit suite_id value used within
LabeledExtract and LabeledExpand is defined based on them as follows:
suite_id = concat(
"HPKE",
I2OSP(kem_id, 2),
I2OSP(kdf_id, 2),
I2OSP(aead_id, 2)
)
default_psk = ""
default_psk_id = ""
def VerifyPSKInputs(mode, psk, psk_id):
got_psk = (psk != default_psk)
got_psk_id = (psk_id != default_psk_id)
if got_psk != got_psk_id:
raise Exception("Inconsistent PSK inputs")
if got_psk and (mode in [mode_base, mode_auth]):
raise Exception("PSK input provided when not needed")
if (not got_psk) and (mode in [mode_psk, mode_auth_psk]):
raise Exception("Missing required PSK input")
def KeySchedule<ROLE>(mode, shared_secret, info, psk, psk_id):
VerifyPSKInputs(mode, psk, psk_id)
psk_id_hash = LabeledExtract("", "psk_id_hash", psk_id)
info_hash = LabeledExtract("", "info_hash", info)
key_schedule_context = concat(mode, psk_id_hash, info_hash)
secret = LabeledExtract(shared_secret, "secret", psk)
key = LabeledExpand(secret, "key", key_schedule_context, Nk)
base_nonce = LabeledExpand(secret, "base_nonce",
key_schedule_context, Nn)
exporter_secret = LabeledExpand(secret, "exp",
key_schedule_context, Nh)
return Context<ROLE>(key, base_nonce, 0, exporter_secret)
The ROLE template parameter is either S or R, depending on the role
of sender or recipient, respectively. See Section 5.2 for a
discussion of the key schedule output, including the role-specific
Context structure and its API.
Note that the key_schedule_context construction in KeySchedule() is
equivalent to serializing a structure of the following form in the
TLS presentation syntax:
struct {
uint8 mode;
opaque psk_id_hash[Nh];
opaque info_hash[Nh];
} KeyScheduleContext;
5.1.1. Encryption to a Public Key
The most basic function of an HPKE scheme is to enable encryption to
the holder of a given KEM private key. The SetupBaseS() and
SetupBaseR() procedures establish contexts that can be used to
encrypt and decrypt, respectively, for a given private key.
The KEM shared secret is combined via the KDF with information
describing the key exchange, as well as the explicit info parameter
provided by the caller.
The parameter pkR is a public key, and enc is an encapsulated KEM
shared secret.
def SetupBaseS(pkR, info):
shared_secret, enc = Encap(pkR)
return enc, KeyScheduleS(mode_base, shared_secret, info,
default_psk, default_psk_id)
def SetupBaseR(enc, skR, info):
shared_secret = Decap(enc, skR)
return KeyScheduleR(mode_base, shared_secret, info,
default_psk, default_psk_id)
5.1.2. Authentication Using a Pre-Shared Key
This variant extends the base mechanism by allowing the recipient to
authenticate that the sender possessed a given PSK. The PSK also
improves confidentiality guarantees in certain adversary models, as
described in more detail in Section 9.1. We assume that both parties
have been provisioned with both the PSK value psk and another byte
string psk_id that is used to identify which PSK should be used.
The primary difference from the base case is that the psk and psk_id
values are used as ikm inputs to the KDF (instead of using the empty
string).
The PSK MUST have at least 32 bytes of entropy and SHOULD be of
length Nh bytes or longer. See Section 9.5 for a more detailed
discussion.
def SetupPSKS(pkR, info, psk, psk_id):
shared_secret, enc = Encap(pkR)
return enc, KeyScheduleS(mode_psk, shared_secret, info,
psk, psk_id)
def SetupPSKR(enc, skR, info, psk, psk_id):
shared_secret = Decap(enc, skR)
return KeyScheduleR(mode_psk, shared_secret, info, psk, psk_id)
5.1.3. Authentication Using an Asymmetric Key
This variant extends the base mechanism by allowing the recipient to
authenticate that the sender possessed a given KEM private key. This
is because AuthDecap(enc, skR, pkS) produces the correct KEM shared
secret only if the encapsulated value enc was produced by
AuthEncap(pkR, skS), where skS is the private key corresponding to
pkS. In other words, at most two entities (precisely two, in the
case of DHKEM) could have produced this secret, so if the recipient
is at most one, then the sender is the other with overwhelming
probability.
The primary difference from the base case is that the calls to
Encap() and Decap() are replaced with calls to AuthEncap() and
AuthDecap(), which add the sender public key to their internal
context string. The function parameters pkR and pkS are public keys,
and enc is an encapsulated KEM shared secret.
Obviously, this variant can only be used with a KEM that provides
AuthEncap() and AuthDecap() procedures.
This mechanism authenticates only the key pair of the sender, not any
other identifier. If an application wishes to bind HPKE ciphertexts
or exported secrets to another identity for the sender (e.g., an
email address or domain name), then this identifier should be
included in the info parameter to avoid identity misbinding issues
[IMB].
def SetupAuthS(pkR, info, skS):
shared_secret, enc = AuthEncap(pkR, skS)
return enc, KeyScheduleS(mode_auth, shared_secret, info,
default_psk, default_psk_id)
def SetupAuthR(enc, skR, info, pkS):
shared_secret = AuthDecap(enc, skR, pkS)
return KeyScheduleR(mode_auth, shared_secret, info,
default_psk, default_psk_id)
5.1.4. Authentication Using Both a PSK and an Asymmetric Key
This mode is a straightforward combination of the PSK and
authenticated modes. Like the PSK mode, a PSK is provided as input
to the key schedule, and like the authenticated mode, authenticated
KEM variants are used.
def SetupAuthPSKS(pkR, info, psk, psk_id, skS):
shared_secret, enc = AuthEncap(pkR, skS)
return enc, KeyScheduleS(mode_auth_psk, shared_secret, info,
psk, psk_id)
def SetupAuthPSKR(enc, skR, info, psk, psk_id, pkS):
shared_secret = AuthDecap(enc, skR, pkS)
return KeyScheduleR(mode_auth_psk, shared_secret, info,
psk, psk_id)
The PSK MUST have at least 32 bytes of entropy and SHOULD be of
length Nh bytes or longer. See Section 9.5 for a more detailed
discussion.
5.2. Encryption and Decryption
HPKE allows multiple encryption operations to be done based on a
given setup transaction. Since the public key operations involved in
setup are typically more expensive than symmetric encryption or
decryption, this allows applications to amortize the cost of the
public key operations, reducing the overall overhead.
In order to avoid nonce reuse, however, this encryption must be
stateful. Each of the setup procedures above produces a role-
specific context object that stores the AEAD and secret export
parameters. The AEAD parameters consist of:
* The AEAD algorithm in use
* A secret key
* A base nonce base_nonce
* A sequence number (initially 0)
The secret export parameters consist of:
* The HPKE ciphersuite in use and
* An exporter_secret used for the secret export interface (see
Section 5.3)
All these parameters except the AEAD sequence number are constant.
The sequence number provides nonce uniqueness: The nonce used for
each encryption or decryption operation is the result of XORing
base_nonce with the current sequence number, encoded as a big-endian
integer of the same length as base_nonce. Implementations MAY use a
sequence number that is shorter than the nonce length (padding on the
left with zero), but MUST raise an error if the sequence number
overflows. The AEAD algorithm produces ciphertext that is Nt bytes
longer than the plaintext. Nt = 16 for AEAD algorithms defined in
this document.
Encryption is unidirectional from sender to recipient. The sender's
context can encrypt a plaintext pt with associated data aad as
follows:
def ContextS.Seal(aad, pt):
ct = Seal(self.key, self.ComputeNonce(self.seq), aad, pt)
self.IncrementSeq()
return ct
The recipient's context can decrypt a ciphertext ct with associated
data aad as follows:
def ContextR.Open(aad, ct):
pt = Open(self.key, self.ComputeNonce(self.seq), aad, ct)
if pt == OpenError:
raise OpenError
self.IncrementSeq()
return pt
Each encryption or decryption operation increments the sequence
number for the context in use. The per-message nonce and sequence
number increment details are as follows:
def Context<ROLE>.ComputeNonce(seq):
seq_bytes = I2OSP(seq, Nn)
return xor(self.base_nonce, seq_bytes)
def Context<ROLE>.IncrementSeq():
if self.seq >= (1 << (8*Nn)) - 1:
raise MessageLimitReachedError
self.seq += 1
The sender's context MUST NOT be used for decryption. Similarly, the
recipient's context MUST NOT be used for encryption. Higher-level
protocols reusing the HPKE key exchange for more general purposes can
derive separate keying material as needed using use the secret export
interface; see Sections 5.3 and 9.8 for more details.
It is up to the application to ensure that encryptions and
decryptions are done in the proper sequence, so that encryption and
decryption nonces align. If ContextS.Seal() or ContextR.Open() would
cause the seq field to overflow, then the implementation MUST fail
with an error. (In the pseudocode below,
Context<ROLE>.IncrementSeq() fails with an error when seq overflows,
which causes ContextS.Seal() and ContextR.Open() to fail
accordingly.) Note that the internal Seal() and Open() calls inside
correspond to the context's AEAD algorithm.
5.3. Secret Export
HPKE provides an interface for exporting secrets from the encryption
context using a variable-length pseudorandom function (PRF), similar
to the TLS 1.3 exporter interface (see [RFC8446], Section 7.5). This
interface takes as input a context string exporter_context and a
desired length L in bytes, and produces a secret derived from the
internal exporter secret using the corresponding KDF Expand function.
For the KDFs defined in this specification, L has a maximum value of
255*Nh. Future specifications that define new KDFs MUST specify a
bound for L.
The exporter_context field has a maximum length that depends on the
KDF itself, on the definition of LabeledExpand(), and on the constant
labels used together with them. See Section 7.2.1 for precise limits
on this length.
def Context.Export(exporter_context, L):
return LabeledExpand(self.exporter_secret, "sec",
exporter_context, L)
Applications that do not use the encryption API in Section 5.2 can
use the export-only AEAD ID 0xFFFF when computing the key schedule.
Such applications can avoid computing the key and base_nonce values
in the key schedule, as they are not used by the Export interface
described above.
6. Single-Shot APIs
6.1. Encryption and Decryption
In many cases, applications encrypt only a single message to a
recipient's public key. This section provides templates for HPKE
APIs that implement stateless "single-shot" encryption and decryption
using APIs specified in Sections 5.1.1 and 5.2:
def Seal<MODE>(pkR, info, aad, pt, ...):
enc, ctx = Setup<MODE>S(pkR, info, ...)
ct = ctx.Seal(aad, pt)
return enc, ct
def Open<MODE>(enc, skR, info, aad, ct, ...):
ctx = Setup<MODE>R(enc, skR, info, ...)
return ctx.Open(aad, ct)
The MODE template parameter is one of Base, PSK, Auth, or AuthPSK.
The optional parameters indicated by "..." depend on MODE and may be
empty. For example, SetupBase() has no additional parameters.
SealAuthPSK() and OpenAuthPSK() would be implemented as follows:
def SealAuthPSK(pkR, info, aad, pt, psk, psk_id, skS):
enc, ctx = SetupAuthPSKS(pkR, info, psk, psk_id, skS)
ct = ctx.Seal(aad, pt)
return enc, ct
def OpenAuthPSK(enc, skR, info, aad, ct, psk, psk_id, pkS):
ctx = SetupAuthPSKR(enc, skR, info, psk, psk_id, pkS)
return ctx.Open(aad, ct)
6.2. Secret Export
Applications may also want to derive a secret known only to a given
recipient. This section provides templates for HPKE APIs that
implement stateless "single-shot" secret export using APIs specified
in Section 5.3:
def SendExport<MODE>(pkR, info, exporter_context, L, ...):
enc, ctx = Setup<MODE>S(pkR, info, ...)
exported = ctx.Export(exporter_context, L)
return enc, exported
def ReceiveExport<MODE>(enc, skR, info, exporter_context, L, ...):
ctx = Setup<MODE>R(enc, skR, info, ...)
return ctx.Export(exporter_context, L)
As in Section 6.1, the MODE template parameter is one of Base, PSK,
Auth, or AuthPSK. The optional parameters indicated by "..." depend
on MODE and may be empty.
7. Algorithm Identifiers
This section lists algorithm identifiers suitable for different HPKE
configurations. Future specifications may introduce new KEM, KDF,
and AEAD algorithm identifiers and retain the security guarantees
presented in this document provided they adhere to the security
requirements in Sections 9.2, 9.3, and 9.4, respectively.
7.1. Key Encapsulation Mechanisms (KEMs)
+=======+===============+=========+====+===+===+====+===============+
|Value | KEM | Nsecret |Nenc|Npk|Nsk|Auth| Reference |
+=======+===============+=========+====+===+===+====+===============+
|0x0000 | Reserved | N/A |N/A |N/A|N/A|yes | RFC 9180 |
+-------+---------------+---------+----+---+---+----+---------------+
|0x0010 | DHKEM(P-256, | 32 |65 |65 |32 |yes | [NISTCurves], |
| | HKDF-SHA256) | | | | | | [RFC5869] |
+-------+---------------+---------+----+---+---+----+---------------+
|0x0011 | DHKEM(P-384, | 48 |97 |97 |48 |yes | [NISTCurves], |
| | HKDF-SHA384) | | | | | | [RFC5869] |
+-------+---------------+---------+----+---+---+----+---------------+
|0x0012 | DHKEM(P-521, | 64 |133 |133|66 |yes | [NISTCurves], |
| | HKDF-SHA512) | | | | | | [RFC5869] |
+-------+---------------+---------+----+---+---+----+---------------+
|0x0020 | DHKEM(X25519, | 32 |32 |32 |32 |yes | [RFC5869], |
| | HKDF-SHA256) | | | | | | [RFC7748] |
+-------+---------------+---------+----+---+---+----+---------------+
|0x0021 | DHKEM(X448, | 64 |56 |56 |56 |yes | [RFC5869], |
| | HKDF-SHA512) | | | | | | [RFC7748] |
+-------+---------------+---------+----+---+---+----+---------------+
Table 2: KEM IDs
The Auth column indicates if the KEM algorithm provides the
AuthEncap()/AuthDecap() interface and is therefore suitable for the
Auth and AuthPSK modes. The meaning of all other columns is
explained in Section 11.1. All algorithms are suitable for the PSK
mode.
7.1.1. SerializePublicKey and DeserializePublicKey
For P-256, P-384, and P-521, the SerializePublicKey() function of the
KEM performs the uncompressed Elliptic-Curve-Point-to-Octet-String
conversion according to [SECG]. DeserializePublicKey() performs the
uncompressed Octet-String-to-Elliptic-Curve-Point conversion.
For X25519 and X448, the SerializePublicKey() and
DeserializePublicKey() functions are the identity function, since
these curves already use fixed-length byte strings for public keys.
Some deserialized public keys MUST be validated before they can be
used. See Section 7.1.4 for specifics.
7.1.2. SerializePrivateKey and DeserializePrivateKey
As per [SECG], P-256, P-384, and P-521 private keys are field
elements in the scalar field of the curve being used. For this
section, and for Section 7.1.3, it is assumed that implementors of
ECDH over these curves use an integer representation of private keys
that is compatible with the OS2IP() function.
For P-256, P-384, and P-521, the SerializePrivateKey() function of
the KEM performs the Field-Element-to-Octet-String conversion
according to [SECG]. If the private key is an integer outside the
range [0, order-1], where order is the order of the curve being used,
the private key MUST be reduced to its representative in [0, order-1]
before being serialized. DeserializePrivateKey() performs the Octet-
String-to-Field-Element conversion according to [SECG].
For X25519 and X448, private keys are identical to their byte string
representation, so little processing has to be done. The
SerializePrivateKey() function MUST clamp its output and the
DeserializePrivateKey() function MUST clamp its input, where
_clamping_ refers to the bitwise operations performed on k in the
decodeScalar25519() and decodeScalar448() functions defined in
Section 5 of [RFC7748].
To catch invalid keys early on, implementors of DHKEMs SHOULD check
that deserialized private keys are not equivalent to 0 (mod order),
where order is the order of the DH group. Note that this property is
trivially true for X25519 and X448 groups, since clamped values can
never be 0 (mod order).
7.1.3. DeriveKeyPair
The keys that DeriveKeyPair() produces have only as much entropy as
the provided input keying material. For a given KEM, the ikm
parameter given to DeriveKeyPair() SHOULD have length at least Nsk,
and SHOULD have at least Nsk bytes of entropy.
All invocations of KDF functions (such as LabeledExtract or
LabeledExpand) in any DHKEM's DeriveKeyPair() function use the
DHKEM's associated KDF (as opposed to the ciphersuite's KDF).
For P-256, P-384, and P-521, the DeriveKeyPair() function of the KEM
performs rejection sampling over field elements:
def DeriveKeyPair(ikm):
dkp_prk = LabeledExtract("", "dkp_prk", ikm)
sk = 0
counter = 0
while sk == 0 or sk >= order:
if counter > 255:
raise DeriveKeyPairError
bytes = LabeledExpand(dkp_prk, "candidate",
I2OSP(counter, 1), Nsk)
bytes[0] = bytes[0] & bitmask
sk = OS2IP(bytes)
counter = counter + 1
return (sk, pk(sk))
order is the order of the curve being used (see Section D.1.2 of
[NISTCurves]), and is listed below for completeness.
P-256:
0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551
P-384:
0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf
581a0db248b0a77aecec196accc52973
P-521:
0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409
bitmask is defined to be 0xFF for P-256 and P-384, and 0x01 for
P-521. The precise likelihood of DeriveKeyPair() failing with
DeriveKeyPairError depends on the group being used, but it is
negligibly small in all cases. See Section 8.2 for information about
dealing with such failures.
For X25519 and X448, the DeriveKeyPair() function applies a KDF to
the input:
def DeriveKeyPair(ikm):
dkp_prk = LabeledExtract("", "dkp_prk", ikm)
sk = LabeledExpand(dkp_prk, "sk", "", Nsk)
return (sk, pk(sk))
7.1.4. Validation of Inputs and Outputs
The following public keys are subject to validation if the group
requires public key validation: the sender MUST validate the
recipient's public key pkR; the recipient MUST validate the ephemeral
public key pkE; in authenticated modes, the recipient MUST validate
the sender's static public key pkS. Validation failure yields a
ValidationError.
For P-256, P-384, and P-521, senders and recipients MUST perform
partial public key validation on all public key inputs, as defined in
Section 5.6.2.3.4 of [keyagreement]. This includes checking that the
coordinates are in the correct range, that the point is on the curve,
and that the point is not the point at infinity. Additionally,
senders and recipients MUST ensure the Diffie-Hellman shared secret
is not the point at infinity.
For X25519 and X448, public keys and Diffie-Hellman outputs MUST be
validated as described in [RFC7748]. In particular, recipients MUST
check whether the Diffie-Hellman shared secret is the all-zero value
and abort if so.
7.1.5. Future KEMs
Section 9.2 lists security requirements on a KEM used within HPKE.
The AuthEncap() and AuthDecap() functions are OPTIONAL. If a KEM
algorithm does not provide them, only the Base and PSK modes of HPKE
are supported. Future specifications that define new KEMs MUST
indicate whether or not Auth and AuthPSK modes are supported.
A KEM algorithm may support different encoding algorithms, with
different output lengths, for KEM public keys. Such KEM algorithms
MUST specify only one encoding algorithm whose output length is Npk.
7.2. Key Derivation Functions (KDFs)
+========+=============+=====+===========+
| Value | KDF | Nh | Reference |
+========+=============+=====+===========+
| 0x0000 | Reserved | N/A | RFC 9180 |
+--------+-------------+-----+-----------+
| 0x0001 | HKDF-SHA256 | 32 | [RFC5869] |
+--------+-------------+-----+-----------+
| 0x0002 | HKDF-SHA384 | 48 | [RFC5869] |
+--------+-------------+-----+-----------+
| 0x0003 | HKDF-SHA512 | 64 | [RFC5869] |
+--------+-------------+-----+-----------+
Table 3: KDF IDs
7.2.1. Input Length Restrictions
This document defines LabeledExtract() and LabeledExpand() based on
the KDFs listed above. These functions add prefixes to their
respective inputs ikm and info before calling the KDF's Extract() and
Expand() functions. This leads to a reduction of the maximum input
length that is available for the inputs psk, psk_id, info,
exporter_context, ikm, i.e., the variable-length parameters provided
by HPKE applications. The following table lists the maximum allowed
lengths of these fields for the KDFs defined in this document, as
inclusive bounds in bytes:
+==================+==============+===============+===============+
| Input | HKDF-SHA256 | HKDF-SHA384 | HKDF-SHA512 |
+==================+==============+===============+===============+
| psk | 2^{61} - 88 | 2^{125} - 152 | 2^{125} - 152 |
+------------------+--------------+---------------+---------------+
| psk_id | 2^{61} - 93 | 2^{125} - 157 | 2^{125} - 157 |
+------------------+--------------+---------------+---------------+
| info | 2^{61} - 91 | 2^{125} - 155 | 2^{125} - 155 |
+------------------+--------------+---------------+---------------+
| exporter_context | 2^{61} - 120 | 2^{125} - 200 | 2^{125} - 216 |
+------------------+--------------+---------------+---------------+
| ikm | 2^{61} - 84 | 2^{125} - 148 | 2^{125} - 148 |
| (DeriveKeyPair) | | | |
+------------------+--------------+---------------+---------------+
Table 4: Application Input Limits
This shows that the limits are only marginally smaller than the
maximum input length of the underlying hash function; these limits
are large and unlikely to be reached in practical applications.
Future specifications that define new KDFs MUST specify bounds for
these variable-length parameters.
The RECOMMENDED limit for these values is 64 bytes. This would
enable interoperability with implementations that statically allocate
memory for these inputs to avoid memory allocations.
The values for psk, psk_id, info, and ikm, which are inputs to
LabeledExtract(), were computed with the following expression:
max_size_hash_input - Nb - size_version_label -
size_suite_id - size_input_label
The value for exporter_context, which is an input to LabeledExpand(),
was computed with the following expression:
max_size_hash_input - Nb - Nh - size_version_label -
size_suite_id - size_input_label - 2 - 1
In these equations, max_size_hash_input is the maximum input length
of the underlying hash function in bytes, Nb is the block size of the
underlying hash function in bytes, size_version_label is the size of
"HPKE-v1" in bytes and equals 7, size_suite_id is the size of the
suite_id in bytes and equals 5 for DHKEM (relevant for ikm) and 10
for the remainder of HPKE (relevant for psk, psk_id, info, and
exporter_context), and size_input_label is the size in bytes of the
label used as parameter to LabeledExtract() or LabeledExpand(), the
maximum of which is 13 across all labels in this document.
7.3. Authenticated Encryption with Associated Data (AEAD) Functions
+========+==================+=====+=====+=====+===========+
| Value | AEAD | Nk | Nn | Nt | Reference |
+========+==================+=====+=====+=====+===========+
| 0x0000 | Reserved | N/A | N/A | N/A | RFC 9180 |
+--------+------------------+-----+-----+-----+-----------+
| 0x0001 | AES-128-GCM | 16 | 12 | 16 | [GCM] |
+--------+------------------+-----+-----+-----+-----------+
| 0x0002 | AES-256-GCM | 32 | 12 | 16 | [GCM] |
+--------+------------------+-----+-----+-----+-----------+
| 0x0003 | ChaCha20Poly1305 | 32 | 12 | 16 | [RFC8439] |
+--------+------------------+-----+-----+-----+-----------+
| 0xFFFF | Export-only | N/A | N/A | N/A | RFC 9180 |
+--------+------------------+-----+-----+-----+-----------+
Table 5: AEAD IDs
The 0xFFFF AEAD ID is reserved for applications that only use the
Export interface; see Section 5.3 for more details.
8. API Considerations
This section documents considerations for interfaces to
implementations of HPKE. This includes error handling considerations
and recommendations that improve interoperability when HPKE is used
in applications.
8.1. Auxiliary Authenticated Application Information
HPKE has two places at which applications can specify auxiliary
authenticated information: (1) during context construction via the
Setup info parameter, and (2) during Context operations, i.e., with
the aad parameter for Open() and Seal(), and the exporter_context
parameter for Export(). Application information applicable to
multiple operations on a single Context should use the Setup info
parameter. This avoids redundantly processing this information for
each Context operation. In contrast, application information that
varies on a per-message basis should be specified via the Context
APIs (Seal(), Open(), or Export()).
Applications that only use the single-shot APIs described in
Section 6 should use the Setup info parameter for specifying
auxiliary authenticated information. Implementations which only
expose single-shot APIs should not allow applications to use both
Setup info and Context aad or exporter_context auxiliary information
parameters.
8.2. Errors
The high-level, public HPKE APIs specified in this document are all
fallible. These include the Setup functions and all encryption
context functions. For example, Decap() can fail if the encapsulated
key enc is invalid, and Open() may fail if ciphertext decryption
fails. The explicit errors generated throughout this specification,
along with the conditions that lead to each error, are as follows:
* ValidationError: KEM input or output validation failure;
Section 4.1.
* DeserializeError: Public or private key deserialization failure;
Section 4.
* EncapError: Encap() failure; Section 4.
* DecapError: Decap() failure; Section 4.
* OpenError: Context AEAD Open() failure; Sections 4 and 5.2.
* MessageLimitReachedError: Context AEAD sequence number overflow;
Sections 4 and 5.2.
* DeriveKeyPairError: Key pair derivation failure; Section 7.1.3.
Implicit errors may also occur. As an example, certain classes of
failures, e.g., malformed recipient public keys, may not yield
explicit errors. For example, for the DHKEM variant described in
this specification, the Encap() algorithm fails when given an invalid
recipient public key. However, other KEM algorithms may not have an
efficient algorithm for verifying the validity of public keys. As a
result, an equivalent error may not manifest until AEAD decryption at
the recipient. As another example, DHKEM's AuthDecap() function will
produce invalid output if given the wrong sender public key. This
error is not detectable until subsequent AEAD decryption.
The errors in this document are meant as a guide for implementors.
They are not an exhaustive list of all the errors an implementation
might emit. For example, future KEMs might have internal failure
cases, or an implementation might run out of memory.
How these errors are expressed in an API or handled by applications
is an implementation-specific detail. For example, some
implementations may abort or panic upon a DeriveKeyPairError failure
given that it only occurs with negligible probability, whereas other
implementations may retry the failed DeriveKeyPair operation. See
Section 7.1.3 for more information. As another example, some
implementations of the DHKEM specified in this document may choose to
transform ValidationError from DH() into an EncapError or DecapError
from Encap() or Decap(), respectively, whereas others may choose to
raise ValidationError unmodified.
Applications using HPKE APIs should not assume that the errors here
are complete, nor should they assume certain classes of errors will
always manifest the same way for all ciphersuites. For example, the
DHKEM specified in this document will emit a DeserializationError or
ValidationError if a KEM public key is invalid. However, a new KEM
might not have an efficient algorithm for determining whether or not
a public key is valid. In this case, an invalid public key might
instead yield an OpenError when trying to decrypt a ciphertext.
9. Security Considerations
9.1. Security Properties
HPKE has several security goals, depending on the mode of operation,
against active and adaptive attackers that can compromise partial
secrets of senders and recipients. The desired security goals are
detailed below:
* Message secrecy: Confidentiality of the sender's messages against
chosen ciphertext attacks
* Export key secrecy: Indistinguishability of each export secret
from a uniformly random bitstring of equal length, i.e.,
Context.Export is a variable-length PRF
* Sender authentication: Proof of sender origin for PSK, Auth, and
AuthPSK modes
These security goals are expected to hold for any honest sender and
honest recipient keys, as well as if the honest sender and honest
recipient keys are the same.
HPKE mitigates malleability problems (called benign malleability
[SECG]) in prior public key encryption standards based on ECIES by
including all public keys in the context of the key schedule.
HPKE does not provide forward secrecy with respect to recipient
compromise. In the Base and Auth modes, the secrecy properties are
only expected to hold if the recipient private key skR is not
compromised at any point in time. In the PSK and AuthPSK modes, the
secrecy properties are expected to hold if the recipient private key
skR and the pre-shared key are not both compromised at any point in
time. See Section 9.7 for more details.
In the Auth mode, sender authentication is generally expected to hold
if the sender private key skS is not compromised at the time of
message reception. In the AuthPSK mode, sender authentication is
generally expected to hold if, at the time of message reception, the
sender private key skS and the pre-shared key are not both
compromised.
Besides forward secrecy and key-compromise impersonation, which are
highlighted in this section because of their particular cryptographic
importance, HPKE has other non-goals that are described in
Section 9.7: no tolerance of message reordering or loss, no downgrade
or replay prevention, no hiding of the plaintext length, and no
protection against bad ephemeral randomness. Section 9.7 suggests
application-level mitigations for some of them.
9.1.1. Key-Compromise Impersonation
The DHKEM variants defined in this document are vulnerable to key-
compromise impersonation attacks [BJM97], which means that sender
authentication cannot be expected to hold in the Auth mode if the
recipient private key skR is compromised, and in the AuthPSK mode if
the pre-shared key and the recipient private key skR are both
compromised. NaCl's box interface [NaCl] has the same issue. At the
same time, this enables repudiability.
As shown by [ABHKLR20], key-compromise impersonation attacks are
generally possible on HPKE because KEM ciphertexts are not bound to
HPKE messages. An adversary who knows a recipient's private key can
decapsulate an observed KEM ciphertext, compute the key schedule, and
encrypt an arbitrary message that the recipient will accept as coming
from the original sender. Importantly, this is possible even with a
KEM that is resistant to key-compromise impersonation attacks. As a
result, mitigating this issue requires fundamental changes that are
out of scope of this specification.
Applications that require resistance against key-compromise
impersonation SHOULD take extra steps to prevent this attack. One
possibility is to produce a digital signature over (enc, ct) tuples
using a sender's private key -- where ct is an AEAD ciphertext
produced by the single-shot or multi-shot API and enc is the
corresponding KEM encapsulated key.
Given these properties, pre-shared keys strengthen both the
authentication and the secrecy properties in certain adversary
models. One particular example in which this can be useful is a
hybrid quantum setting: if a non-quantum-resistant KEM used with HPKE
is broken by a quantum computer, the security properties are
preserved through the use of a pre-shared key. As described in
Section 7 of [RFC8696] this assumes that the pre-shared key has not
been compromised.
9.1.2. Computational Analysis
It is shown in [CS01] that a hybrid public key encryption scheme of
essentially the same form as the Base mode described here is IND-
CCA2-secure as long as the underlying KEM and AEAD schemes are IND-
CCA2-secure. Moreover, it is shown in [HHK06] that IND-CCA2 security
of the KEM and the data encapsulation mechanism are necessary
conditions to achieve IND-CCA2 security for hybrid public key
encryption. The main difference between the scheme proposed in
[CS01] and the Base mode in this document (both named HPKE) is that
we interpose some KDF calls between the KEM and the AEAD. Analyzing
the HPKE Base mode instantiation in this document therefore requires
verifying that the additional KDF calls do not cause the IND-CCA2
property to fail, as well as verifying the additional export key
secrecy property.
Analysis of the PSK, Auth, and AuthPSK modes defined in this document
additionally requires verifying the sender authentication property.
While the PSK mode just adds supplementary keying material to the key
schedule, the Auth and AuthPSK modes make use of a non-standard
authenticated KEM construction. Generally, the authenticated modes
of HPKE can be viewed and analyzed as flavors of signcryption
[SigncryptionDZ10].
A preliminary computational analysis of all HPKE modes has been done
in [HPKEAnalysis], indicating asymptotic security for the case where
the KEM is DHKEM, the AEAD is any IND-CPA-secure and INT-CTXT-secure
scheme, and the DH group and KDF satisfy the following conditions:
* DH group: The gap Diffie-Hellman (GDH) problem is hard in the
appropriate subgroup [GAP].
* Extract() and Expand(): Extract() can be modeled as a random
oracle. Expand() can be modeled as a pseudorandom function,
wherein the first argument is the key.
In particular, the KDFs and DH groups defined in this document (see
Sections 7.2 and 7.1) satisfy these properties when used as
specified. The analysis in [HPKEAnalysis] demonstrates that under
these constraints, HPKE continues to provide IND-CCA2 security, and
provides the additional properties noted above. Also, the analysis
confirms the expected properties hold under the different key
compromise cases mentioned above. The analysis considers a sender
that sends one message using the encryption context, and additionally
exports two independent secrets using the secret export interface.
The table below summarizes the main results from [HPKEAnalysis]. N/A
means that a property does not apply for the given mode, whereas Y
means the given mode satisfies the property.
+=========+==============+=============+==============+
| Variant | Message Sec. | Export Sec. | Sender Auth. |
+=========+==============+=============+==============+
| Base | Y | Y | N/A |
+---------+--------------+-------------+--------------+
| PSK | Y | Y | Y |
+---------+--------------+-------------+--------------+
| Auth | Y | Y | Y |
+---------+--------------+-------------+--------------+
| AuthPSK | Y | Y | Y |
+---------+--------------+-------------+--------------+
Table 6: HPKE Mode Security Properties
If non-DH-based KEMs are to be used with HPKE, further analysis will
be necessary to prove their security. The results from [CS01]
provide some indication that any IND-CCA2-secure KEM will suffice
here, but are not conclusive given the differences in the schemes.
A detailed computational analysis of HPKE's Auth mode single-shot
encryption API has been done in [ABHKLR20]. The paper defines
security notions for authenticated KEMs and for authenticated public
key encryption, using the outsider and insider security terminology
known from signcryption [SigncryptionDZ10]. The analysis proves that
DHKEM's AuthEncap()/AuthDecap() interface fulfills these notions for
all Diffie-Hellman groups specified in this document. The analysis
also provides exact security bounds, under the assumptions that the
gap Diffie-Hellman (GDH) problem is hard in the appropriate subgroup
[GAP], and that HKDF can be modeled as a random oracle.
Further, [ABHKLR20] proves composition theorems, showing that HPKE's
Auth mode fulfills the security notions of authenticated public key
encryption for all KDFs and AEAD schemes specified in this document,
given any authenticated KEM satisfying the previously defined
security notions for authenticated KEMs. The theorems assume that
the KEM is perfectly correct; they could easily be adapted to work
with KEMs that have a nonzero but negligible probability for
decryption failure. The assumptions on the KDF are that Extract()
and Expand() can be modeled as pseudorandom functions wherein the
first argument is the key, respectively. The assumption for the AEAD
is IND-CPA and IND-CTXT security.
In summary, the analysis in [ABHKLR20] proves that the single-shot
encryption API of HPKE's Auth mode satisfies the desired message
confidentiality and sender authentication properties listed at the
beginning of this section; it does not consider multiple messages,
nor the secret export API.
9.1.3. Post-Quantum Security
All of [CS01], [HPKEAnalysis], and [ABHKLR20] are premised on
classical security models and assumptions, and do not consider
adversaries capable of quantum computation. A full proof of post-
quantum security would need to take appropriate security models and
assumptions into account, in addition to simply using a post-quantum
KEM. However, the composition theorems from [ABHKLR20] for HPKE's
Auth mode only make standard assumptions (i.e., no random oracle
assumption) that are expected to hold against quantum adversaries
(although with slightly worse bounds). Thus, these composition
theorems, in combination with a post-quantum-secure authenticated
KEM, guarantee the post-quantum security of HPKE's Auth mode.
In future work, the analysis from [ABHKLR20] can be extended to cover
HPKE's other modes and desired security properties. The hybrid
quantum-resistance property described above, which is achieved by
using the PSK or AuthPSK mode, is not proven in [HPKEAnalysis]
because this analysis requires the random oracle model; in a quantum
setting, this model needs adaption to, for example, the quantum
random oracle model.
9.2. Security Requirements on a KEM Used within HPKE
A KEM used within HPKE MUST allow HPKE to satisfy its desired
security properties described in Section 9.1. Section 9.6 lists
requirements concerning domain separation.
In particular, the KEM shared secret MUST be a uniformly random byte
string of length Nsecret. This means, for instance, that it would
not be sufficient if the KEM shared secret is only uniformly random
as an element of some set prior to its encoding as a byte string.
9.2.1. Encap/Decap Interface
As mentioned in Section 9, [CS01] provides some indications that if
the KEM's Encap()/Decap() interface (which is used in the Base and
PSK modes) is IND-CCA2-secure, HPKE is able to satisfy its desired
security properties. An appropriate definition of IND-CCA2 security
for KEMs can be found in [CS01] and [BHK09].
9.2.2. AuthEncap/AuthDecap Interface
The analysis of HPKE's Auth mode single-shot encryption API in
[ABHKLR20] provides composition theorems that guarantee that HPKE's
Auth mode achieves its desired security properties if the KEM's
AuthEncap()/AuthDecap() interface satisfies multi-user Outsider-CCA,
Outsider-Auth, and Insider-CCA security, as defined in the same
paper.
Intuitively, Outsider-CCA security formalizes confidentiality, and
Outsider-Auth security formalizes authentication of the KEM shared
secret in case none of the sender or recipient private keys are
compromised. Insider-CCA security formalizes confidentiality of the
KEM shared secret in case the sender private key is known or chosen
by the adversary. (If the recipient private key is known or chosen
by the adversary, confidentiality is trivially broken, because then
the adversary knows all secrets on the recipient's side).
An Insider-Auth security notion would formalize authentication of the
KEM shared secret in case the recipient private key is known or
chosen by the adversary. (If the sender private key is known or
chosen by the adversary, it can create KEM ciphertexts in the name of
the sender). Because of the generic attack on an analogous Insider-
Auth security notion of HPKE described in Section 9.1, a definition
of Insider-Auth security for KEMs used within HPKE is not useful.
9.2.3. KEM Key Reuse
An ikm input to DeriveKeyPair() (Section 7.1.3) MUST NOT be reused
elsewhere, in particular not with DeriveKeyPair() of a different KEM.
The randomness used in Encap() and AuthEncap() to generate the KEM
shared secret or its encapsulation MUST NOT be reused elsewhere.
Since a KEM key pair belonging to a sender or recipient works with
all modes, it can be used with multiple modes in parallel. HPKE is
constructed to be secure in such settings due to domain separation
using the suite_id variable. However, there is no formal proof of
security at the time of writing for using multiple modes in parallel;
[HPKEAnalysis] and [ABHKLR20] only analyze isolated modes.
9.3. Security Requirements on a KDF
The choice of the KDF for HPKE SHOULD be made based on the security
level provided by the KEM and, if applicable, by the PSK. The KDF
SHOULD at least have the security level of the KEM and SHOULD at
least have the security level provided by the PSK.
9.4. Security Requirements on an AEAD
All AEADs MUST be IND-CCA2-secure, as is currently true for all AEADs
listed in Section 7.3.
9.5. Pre-Shared Key Recommendations
In the PSK and AuthPSK modes, the PSK MUST have at least 32 bytes of
entropy and SHOULD be of length Nh bytes or longer. Using a PSK
longer than 32 bytes but shorter than Nh bytes is permitted.
HPKE is specified to use HKDF as its key derivation function. HKDF
is not designed to slow down dictionary attacks (see [RFC5869]).
Thus, HPKE's PSK mechanism is not suitable for use with a low-entropy
password as the PSK: In scenarios in which the adversary knows the
KEM shared secret shared_secret and has access to an oracle that
distinguishes between a good and a wrong PSK, it can perform PSK-
recovering attacks. This oracle can be the decryption operation on a
captured HPKE ciphertext or any other recipient behavior that is
observably different when using a wrong PSK. The adversary knows the
KEM shared secret shared_secret if it knows all KEM private keys of
one participant. In the PSK mode, this is trivially the case if the
adversary acts as the sender.
To recover a lower entropy PSK, an attacker in this scenario can
trivially perform a dictionary attack. Given a set S of possible PSK
values, the attacker generates an HPKE ciphertext for each value in
S, and submits the resulting ciphertexts to the oracle to learn which
PSK is being used by the recipient. Further, because HPKE uses AEAD
schemes that are not key-committing, an attacker can mount a
partitioning oracle attack [LGR20] that can recover the PSK from a
set of S possible PSK values, with |S| = m*k, in roughly m + log k
queries to the oracle using ciphertexts of length proportional to k,
the maximum message length in blocks. (Applying the multi-collision
algorithm from [LGR20] requires a small adaptation to the algorithm
wherein the appropriate nonce is computed for each candidate key.
This modification adds one call to HKDF per key. The number of
partitioning oracle queries remains unchanged.) As a result, the PSK
must therefore be chosen with sufficient entropy so that m + log k is
prohibitive for attackers (e.g., 2^128). Future specifications can
define new AEAD algorithms that are key-committing.
9.6. Domain Separation
HPKE allows combining a DHKEM variant DHKEM(Group, KDF') and a KDF
such that both KDFs are instantiated by the same KDF. By design, the
calls to Extract() and Expand() inside DHKEM and the remainder of
HPKE use separate input domains. This justifies modeling them as
independent functions even if instantiated by the same KDF. This
domain separation between DHKEM and the remainder of HPKE is achieved
by using prefix-free sets of suite_id values in LabeledExtract() and
LabeledExpand() (KEM... in DHKEM and HPKE... in the remainder of
HPKE). Recall that a set is prefix-free if no element is a prefix of
another within the set.
Future KEM instantiations MUST ensure, should Extract() and Expand()
be used internally, that they can be modeled as functions independent
from the invocations of Extract() and Expand() in the remainder of
HPKE. One way to ensure this is by using LabeledExtract() and
LabeledExpand() with a suite_id as defined in Section 4, which will
ensure input domain separation, as outlined above. Particular
attention needs to be paid if the KEM directly invokes functions that
are used internally in HPKE's Extract() or Expand(), such as Hash()
and HMAC() in the case of HKDF. It MUST be ensured that inputs to
these invocations cannot collide with inputs to the internal
invocations of these functions inside Extract() or Expand(). In
HPKE's KeySchedule() this is avoided by using Extract() instead of
Hash() on the arbitrary-length inputs info and psk_id.
The string literal "HPKE-v1" used in LabeledExtract() and
LabeledExpand() ensures that any secrets derived in HPKE are bound to
the scheme's name and version, even when possibly derived from the
same Diffie-Hellman or KEM shared secret as in another scheme or
version.
9.7. Application Embedding and Non-Goals
HPKE is designed to be a fairly low-level mechanism. As a result, it
assumes that certain properties are provided by the application in
which HPKE is embedded and leaves certain security properties to be
provided by other mechanisms. Otherwise said, certain properties are
out of scope for HPKE.
9.7.1. Message Order and Message Loss
The primary requirement that HPKE imposes on applications is the
requirement that ciphertexts MUST be presented to ContextR.Open() in
the same order in which they were generated by ContextS.Seal(). When
the single-shot API is used (see Section 6), this is trivially true
(since there is only ever one ciphertext). Applications that allow
for multiple invocations of Open() / Seal() on the same context MUST
enforce the ordering property described above.
Ordering requirements of this character are usually fulfilled by
providing a sequence number in the framing of encrypted messages.
Whatever information is used to determine the ordering of HPKE-
encrypted messages SHOULD be included in the associated data passed
to ContextS.Seal() and ContextR.Open(). The specifics of this scheme
are up to the application.
HPKE is not tolerant of lost messages. Applications MUST be able to
detect when a message has been lost. When an unrecoverable loss is
detected, the application MUST discard any associated HPKE context.
9.7.2. Downgrade Prevention
HPKE assumes that the sender and recipient agree on what algorithms
to use. Depending on how these algorithms are negotiated, it may be
possible for an intermediary to force the two parties to use
suboptimal algorithms.
9.7.3. Replay Protection
The requirement that ciphertexts be presented to the ContextR.Open()
function in the same order they were generated by ContextS.Seal()
provides a degree of replay protection within a stream of ciphertexts
resulting from a given context. HPKE provides no other replay
protection.
9.7.4. Forward Secrecy
HPKE ciphertexts are not forward secret with respect to recipient
compromise in any mode. This means that compromise of long-term
recipient secrets allows an attacker to decrypt past ciphertexts
encrypted under said secrets. This is because only long-term secrets
are used on the side of the recipient.
HPKE ciphertexts are forward secret with respect to sender compromise
in all modes. This is because ephemeral randomness is used on the
sender's side, which is supposed to be erased directly after
computation of the KEM shared secret and ciphertext.
9.7.5. Bad Ephemeral Randomness
If the randomness used for KEM encapsulation is bad -- i.e., of low
entropy or compromised because of a broken or subverted random number
generator -- the confidentiality guarantees of HPKE degrade
significantly. In Base mode, confidentiality guarantees can be lost
completely; in the other modes, at least forward secrecy with respect
to sender compromise can be lost completely.
Such a situation could also lead to the reuse of the same KEM shared
secret and thus to the reuse of same key-nonce pairs for the AEAD.
The AEADs specified in this document are not secure in case of nonce
reuse. This attack vector is particularly relevant in authenticated
modes because knowledge of the ephemeral randomness is not enough to
derive shared_secret in these modes.
One way for applications to mitigate the impacts of bad ephemeral
randomness is to combine ephemeral randomness with a local long-term
secret that has been generated securely, as described in [RFC8937].
9.7.6. Hiding Plaintext Length
AEAD ciphertexts produced by HPKE do not hide the plaintext length.
Applications requiring this level of privacy should use a suitable
padding mechanism. See [TLS-ECH] and [RFC8467] for examples of
protocol-specific padding policies.
9.8. Bidirectional Encryption
As discussed in Section 5.2, HPKE encryption is unidirectional from
sender to recipient. Applications that require bidirectional
encryption can derive necessary keying material with the secret
export interface (Section 5.3). The type and length of such keying
material depends on the application use case.
As an example, if an application needs AEAD encryption from the
recipient to the sender, it can derive a key and nonce from the
corresponding HPKE context as follows:
key = context.Export("response key", Nk)
nonce = context.Export("response nonce", Nn)
In this example, the length of each secret is based on the AEAD
algorithm used for the corresponding HPKE context.
Note that HPKE's limitations with regard to sender authentication
become limits on recipient authentication in this context. In
particular, in the Base mode, there is no authentication of the
remote party at all. Even in the Auth mode, where the remote party
has proven that they hold a specific private key, this authentication
is still subject to key-compromise impersonation, as discussed in
Section 9.1.1.
9.9. Metadata Protection
The authenticated modes of HPKE (PSK, Auth, and AuthPSK) require that
the recipient know what key material to use for the sender. This can
be signaled in applications by sending the PSK ID (psk_id above) and/
or the sender's public key (pkS). However, these values themselves
might be considered sensitive, since, in a given application context,
they might identify the sender.
An application that wishes to protect these metadata values without
requiring further provisioning of keys can use an additional instance
of HPKE, using the unauthenticated Base mode. Where the application
might have sent (psk_id, pkS, enc, ciphertext) before, it would now
send (enc2, ciphertext2, enc, ciphertext), where (enc2, ciphertext2)
represent the encryption of the psk_id and pkS values.
The cost of this approach is an additional KEM operation each for the
sender and the recipient. A potential lower-cost approach (involving
only symmetric operations) would be available if the nonce-protection
schemes in [BNT19] could be extended to cover other metadata.
However, this construction would require further analysis.
10. Message Encoding
This document does not specify a wire format encoding for HPKE
messages. Applications that adopt HPKE must therefore specify an
unambiguous encoding mechanism that includes, minimally: the
encapsulated value enc, ciphertext value(s) (and order if there are
multiple), and any info values that are not implicit. One example of
a non-implicit value is the recipient public key used for
encapsulation, which may be needed if a recipient has more than one
public key.
The AEAD interface used in this document is based on [RFC5116], which
produces and consumes a single ciphertext value. As discussed in
[RFC5116], this ciphertext value contains the encrypted plaintext as
well as any authentication data, encoded in a manner described by the
individual AEAD scheme. Some implementations are not structured in
this way, instead providing a separate ciphertext and authentication
tag. When such AEAD implementations are used in HPKE
implementations, the HPKE implementation must combine these inputs
into a single ciphertext value within Seal() and parse them out
within Open(), where the parsing details are defined by the AEAD
scheme. For example, with the AES-GCM schemes specified in this
document, the GCM authentication tag is placed in the last Nt bytes
of the ciphertext output.
11. IANA Considerations
IANA has created three new registries:
* HPKE KEM Identifiers
* HPKE KDF Identifiers
* HPKE AEAD Identifiers
All these registries are under "Hybrid Public Key Encryption", and
administered under a Specification Required policy [RFC8126].
11.1. KEM Identifiers
The "HPKE KEM Identifiers" registry lists identifiers for key
encapsulation algorithms defined for use with HPKE. These
identifiers are two-byte values, so the maximum possible value is
0xFFFF = 65535.
Template:
Value: The two-byte identifier for the algorithm
KEM: The name of the algorithm
Nsecret: The length in bytes of a KEM shared secret produced by
the algorithm
Nenc: The length in bytes of an encoded encapsulated key produced
by the algorithm
Npk: The length in bytes of an encoded public key for the
algorithm
Nsk: The length in bytes of an encoded private key for the
algorithm
Auth: A boolean indicating if this algorithm provides the
AuthEncap()/AuthDecap() interface
Reference: Where this algorithm is defined
Initial contents: Provided in Table 2
11.2. KDF Identifiers
The "HPKE KDF Identifiers" registry lists identifiers for key
derivation functions defined for use with HPKE. These identifiers
are two-byte values, so the maximum possible value is 0xFFFF = 65535.
Template:
Value: The two-byte identifier for the algorithm
KDF: The name of the algorithm
Nh: The output size of the Extract function in bytes
Reference: Where this algorithm is defined
Initial contents: Provided in Table 3
11.3. AEAD Identifiers
The "HPKE AEAD Identifiers" registry lists identifiers for
authenticated encryption with associated data (AEAD) algorithms
defined for use with HPKE. These identifiers are two-byte values, so
the maximum possible value is 0xFFFF = 65535.
Template:
Value: The two-byte identifier for the algorithm
AEAD: The name of the algorithm
Nk: The length in bytes of a key for this algorithm
Nn: The length in bytes of a nonce for this algorithm
Nt: The length in bytes of an authentication tag for this
algorithm
Reference: Where this algorithm is defined
Initial contents: Provided in Table 5
12. References
12.1. Normative References
[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate
Requirement Levels", BCP 14, RFC 2119,
DOI 10.17487/RFC2119, March 1997,
<
https://www.rfc-editor.org/info/rfc2119>.
[RFC5116] McGrew, D., "An Interface and Algorithms for Authenticated
Encryption", RFC 5116, DOI 10.17487/RFC5116, January 2008,
<
https://www.rfc-editor.org/info/rfc5116>.
[RFC8017] Moriarty, K., Ed., Kaliski, B., Jonsson, J., and A. Rusch,
"PKCS #1: RSA Cryptography Specifications Version 2.2",
RFC 8017, DOI 10.17487/RFC8017, November 2016,
<
https://www.rfc-editor.org/info/rfc8017>.
[RFC8126] Cotton, M., Leiba, B., and T. Narten, "Guidelines for
Writing an IANA Considerations Section in RFCs", BCP 26,
RFC 8126, DOI 10.17487/RFC8126, June 2017,
<
https://www.rfc-editor.org/info/rfc8126>.
[RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
May 2017, <
https://www.rfc-editor.org/info/rfc8174>.
12.2. Informative References
[ABHKLR20] Alwen, J., Blanchet, B., Hauck, E., Kiltz, E., Lipp, B.,
and D. Riepel, "Analysing the HPKE Standard", November
2020, <
https://eprint.iacr.org/2020/1499>.
[ANSI] American National Standards Institute (ANSI), "ANSI -
X9.63 Public Key Cryptography for the Financial Services
Industry Key Agreement and Key Transport Using Elliptic
Curve Cryptography", November 2001.
[BHK09] Bellare, M., Hofheinz, D., and E. Kiltz, "Subtleties in
the Definition of IND-CCA: When and How Should Challenge-
Decryption be Disallowed?", August 2009,
<
https://eprint.iacr.org/2009/418>.
[BJM97] Blake-Wilson, S., Johnson, D., and A. Menezes, "Key
agreement protocols and their security analysis: Extended
Abstract", Crytography and Coding, pp. 30-45,
DOI 10.1007/bfb0024447, June 2005,
<
https://doi.org/10.1007/bfb0024447>.
[BNT19] Bellare, M., Ng, R., and B. Tackmann, "Nonces Are Noticed:
AEAD Revisited", August 2019,
<
http://dx.doi.org/10.1007/978-3-030-26948-7_9>.
[CS01] Cramer, R. and V. Shoup, "Design and Analysis of Practical
Public-Key Encryption Schemes Secure against Adaptive
Chosen Ciphertext Attack", December 2001,
<
https://eprint.iacr.org/2001/108>.
[GAP] Okamoto, T. and D. Pointcheval, "The Gap-Problems: A New
Class of Problems for the Security of Cryptographic
Schemes", ISBN 978-3-540-44586-9, June 2001,
<
https://link.springer.com/content/
pdf/10.1007/3-540-44586-2_8.pdf>.
[GCM] Dworkin, M., "Recommendation for Block Cipher Modes of
Operation: Galois/Counter Mode (GCM) and GMAC",
DOI 10.6028/nist.sp.800-38d, SP 800-38D, November 2007,
<
https://doi.org/10.6028/nist.sp.800-38d>.
[HHK06] Herranz, J., Hofheinz, D., and E. Kiltz, "Some
(in)sufficient conditions for secure hybrid encryption.",
August 2006, <
https://eprint.iacr.org/2006/265>.
[HPKEAnalysis]
Lipp, B., "An Analysis of Hybrid Public Key Encryption",
February 2020, <
https://eprint.iacr.org/2020/243>.
[IEEE1363] IEEE, "IEEE Standard Specifications for Public-Key
Cryptography - Amendment 1: Additional Techniques", IEEE
Std 1363a-2004.
[IMB] Diffie, W., Van Oorschot, P., and M. Wiener,
"Authentication and authenticated key exchanges", Designs,
Codes and Cryptography, Vol. 2, pp. 107-125,
DOI 10.1007/bf00124891, June 1992,
<
https://doi.org/10.1007/bf00124891>.
[ISO] International Organization for Standardization,
"Information technology - Security techniques - Encryption
algorithms - Part 2: Asymmetric ciphers", ISO/
IEC 18033-2:2006, May 2006.
[keyagreement]
Barker, E., Chen, L., Roginsky, A., Vassilev, A., and R.
Davis, "Recommendation for Pair-Wise Key-Establishment
Schemes Using Discrete Logarithm Cryptography", NIST
Special Publication 800-56A Revision 3,
DOI 10.6028/nist.sp.800-56ar3, April 2018,
<
https://doi.org/10.6028/nist.sp.800-56ar3>.
[LGR20] Len, J., Grubbs, P., and T. Ristenpart, "Partitioning
Oracle Attacks".
[MAEA10] Gayoso Martinez, V., Hernandez Alvarez, F., Hernandez
Encinas, L., and C. Sanchez Avila, "A comparison of the
standardized versions of ECIES", October 2010,
<
https://ieeexplore.ieee.org/abstract/document/5604194/>.
[MLS-PROTOCOL]
Barnes, R., Beurdouche, B., Robert, R., Millican, J.,
Omara, E., and K. Cohn-Gordon, "The Messaging Layer
Security (MLS) Protocol", Work in Progress, Internet-
Draft, draft-ietf-mls-protocol-12, 11 October 2021,
<
https://datatracker.ietf.org/doc/html/draft-ietf-mls-
protocol-12>.
[NaCl] "Public-key authenticated encryption: crypto_box", March
2019, <
https://nacl.cr.yp.to/box.html>.
[NISTCurves]
National Institute of Standards and Technology (NIST),
"Digital Signature Standard (DSS)",
DOI 10.6028/nist.fips.186-4, FIPS PUB 186-4, July 2013,
<
https://doi.org/10.6028/nist.fips.186-4>.
[RFC1421] Linn, J., "Privacy Enhancement for Internet Electronic
Mail: Part I: Message Encryption and Authentication
Procedures", RFC 1421, DOI 10.17487/RFC1421, February
1993, <
https://www.rfc-editor.org/info/rfc1421>.
[RFC5869] Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand
Key Derivation Function (HKDF)", RFC 5869,
DOI 10.17487/RFC5869, May 2010,
<
https://www.rfc-editor.org/info/rfc5869>.
[RFC7748] Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves
for Security", RFC 7748, DOI 10.17487/RFC7748, January
2016, <
https://www.rfc-editor.org/info/rfc7748>.
[RFC8439] Nir, Y. and A. Langley, "ChaCha20 and Poly1305 for IETF
Protocols", RFC 8439, DOI 10.17487/RFC8439, June 2018,
<
https://www.rfc-editor.org/info/rfc8439>.
[RFC8446] Rescorla, E., "The Transport Layer Security (TLS) Protocol
Version 1.3", RFC 8446, DOI 10.17487/RFC8446, August 2018,
<
https://www.rfc-editor.org/info/rfc8446>.
[RFC8467] Mayrhofer, A., "Padding Policies for Extension Mechanisms
for DNS (EDNS(0))", RFC 8467, DOI 10.17487/RFC8467,
October 2018, <
https://www.rfc-editor.org/info/rfc8467>.
[RFC8696] Housley, R., "Using Pre-Shared Key (PSK) in the
Cryptographic Message Syntax (CMS)", RFC 8696,
DOI 10.17487/RFC8696, December 2019,
<
https://www.rfc-editor.org/info/rfc8696>.
[RFC8937] Cremers, C., Garratt, L., Smyshlyaev, S., Sullivan, N.,
and C. Wood, "Randomness Improvements for Security
Protocols", RFC 8937, DOI 10.17487/RFC8937, October 2020,
<
https://www.rfc-editor.org/info/rfc8937>.
[SECG] Standards for Efficient Cryptography Group, "SEC 1:
Elliptic Curve Cryptography,", Version 2, May 2009,
<
https://secg.org/sec1-v2.pdf>.
[SigncryptionDZ10]
Dent, A. and Y. Zheng, "Practical Signcryption",
Information Security and Cryptography,
DOI 10.1007/978-3-540-89411-7, November 2010,
<
https://doi.org/10.1007/978-3-540-89411-7>.
[TestVectors]
"HPKE Test Vectors", <
https://github.com/cfrg/draft-irtf-
cfrg-hpke/blob/5f503c564da00b0687b3de75f1dfbdfc4079ad31/
test-vectors.json>.
[TLS-ECH] Rescorla, E., Oku, K., Sullivan, N., and C. A. Wood, "TLS
Encrypted Client Hello", Work in Progress, Internet-Draft,
draft-ietf-tls-esni-14, 13 February 2022,
<
https://datatracker.ietf.org/doc/html/draft-ietf-tls-
esni-14>.
Appendix A. Test Vectors
Each section below contains test vectors for a single HPKE
ciphersuite and contains the following values:
1. Configuration information and private key material: This includes
the mode, info string, HPKE ciphersuite identifiers (kem_id,
kdf_id, aead_id), and all sender, recipient, and ephemeral key
material. For each role X, where X is one of S, R, or E, as
sender, recipient, and ephemeral, respectively, key pairs are
generated as (skX, pkX) = DeriveKeyPair(ikmX). Each key pair
(skX, pkX) is written in its serialized form, where skXm =
SerializePrivateKey(skX) and pkXm = SerializePublicKey(pkX). For
applicable modes, the shared PSK and PSK identifier are also
included.
2. Context creation intermediate values and outputs: This includes
the KEM outputs enc and shared_secret used to create the context,
along with intermediate values key_schedule_context and secret
computed in the KeySchedule function in Section 5.1. The outputs
include the context values key, base_nonce, and exporter_secret.
3. Encryption test vectors: A fixed plaintext message is encrypted
using different sequence numbers and associated data values using
the context computed in (2). Each test vector lists the sequence
number and corresponding nonce computed with base_nonce, the
plaintext message pt, associated data aad, and output ciphertext
ct.
4. Export test vectors: Several exported values of the same length
with differing context parameters are computed using the context
computed in (2). Each test vector lists the exporter_context,
output length L, and resulting export value.
These test vectors are also available in JSON format at
[TestVectors].
A.1. DHKEM(X25519, HKDF-SHA256), HKDF-SHA256, AES-128-GCM
A.1.1. Base Setup Information
mode: 0
kem_id: 32
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
7268600d403fce431561aef583ee1613527cff655c1343f29812e66706df3234
pkEm:
37fda3567bdbd628e88668c3c8d7e97d1d1253b6d4ea6d44c150f741f1bf4431
skEm:
52c4a758a802cd8b936eceea314432798d5baf2d7e9235dc084ab1b9cfa2f736
ikmR:
6db9df30aa07dd42ee5e8181afdb977e538f5e1fec8a06223f33f7013e525037
pkRm:
3948cfe0ad1ddb695d780e59077195da6c56506b027329794ab02bca80815c4d
skRm:
4612c550263fc8ad58375df3f557aac531d26850903e55a9f23f21d8534e8ac8
enc:
37fda3567bdbd628e88668c3c8d7e97d1d1253b6d4ea6d44c150f741f1bf4431
shared_secret:
fe0e18c9f024ce43799ae393c7e8fe8fce9d218875e8227b0187c04e7d2ea1fc
key_schedule_context: 00725611c9d98c07c03f60095cd32d400d8347d45ed670
97bbad50fc56da742d07cb6cffde367bb0565ba28bb02c90744a20f5ef37f3052352
6106f637abb05449
secret:
12fff91991e93b48de37e7daddb52981084bd8aa64289c3788471d9a9712f397
key: 4531685d41d65f03dc48f6b8302c05b0
base_nonce: 56d890e5accaaf011cff4b7d
exporter_secret:
45ff1c2e220db587171952c0592d5f5ebe103f1561a2614e38f2ffd47e99e3f8
A.1.1.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 56d890e5accaaf011cff4b7d
ct: f938558b5d72f1a23810b4be2ab4f84331acc02fc97babc53a52ae8218a355a9
6d8770ac83d07bea87e13c512a
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 56d890e5accaaf011cff4b7c
ct: af2d7e9ac9ae7e270f46ba1f975be53c09f8d875bdc8535458c2494e8a6eab25
1c03d0c22a56b8ca42c2063b84
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 56d890e5accaaf011cff4b7f
ct: 498dfcabd92e8acedc281e85af1cb4e3e31c7dc394a1ca20e173cb7251649158
8d96a19ad4a683518973dcc180
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 56d890e5accaaf011cff4b79
ct: 583bd32bc67a5994bb8ceaca813d369bca7b2a42408cddef5e22f880b631215a
09fc0012bc69fccaa251c0246d
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 56d890e5accaaf011cff4b82
ct: 7175db9717964058640a3a11fb9007941a5d1757fda1a6935c805c21af32505b
f106deefec4a49ac38d71c9e0a
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 56d890e5accaaf011cff4a7d
ct: 957f9800542b0b8891badb026d79cc54597cb2d225b54c00c5238c25d05c30e3
fbeda97d2e0e1aba483a2df9f2
A.1.1.2. Exported Values
exporter_context:
L: 32
exported_value:
3853fe2b4035195a573ffc53856e77058e15d9ea064de3e59f4961d0095250ee
exporter_context: 00
L: 32
exported_value:
2e8f0b54673c7029649d4eb9d5e33bf1872cf76d623ff164ac185da9e88c21a5
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
e9e43065102c3836401bed8c3c3c75ae46be1639869391d62c61f1ec7af54931
A.1.2. PSK Setup Information
mode: 1
kem_id: 32
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
78628c354e46f3e169bd231be7b2ff1c77aa302460a26dbfa15515684c00130b
pkEm:
0ad0950d9fb9588e59690b74f1237ecdf1d775cd60be2eca57af5a4b0471c91b
skEm:
463426a9ffb42bb17dbe6044b9abd1d4e4d95f9041cef0e99d7824eef2b6f588
ikmR:
d4a09d09f575fef425905d2ab396c1449141463f698f8efdb7accfaff8995098
pkRm:
9fed7e8c17387560e92cc6462a68049657246a09bfa8ade7aefe589672016366
skRm:
c5eb01eb457fe6c6f57577c5413b931550a162c71a03ac8d196babbd4e5ce0fd
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc:
0ad0950d9fb9588e59690b74f1237ecdf1d775cd60be2eca57af5a4b0471c91b
shared_secret:
727699f009ffe3c076315019c69648366b69171439bd7dd0807743bde76986cd
key_schedule_context: 01e78d5cf6190d275863411ff5edd0dece5d39fa48e04e
ec1ed9b71be34729d18ccb6cffde367bb0565ba28bb02c90744a20f5ef37f3052352
6106f637abb05449
secret:
3728ab0b024b383b0381e432b47cced1496d2516957a76e2a9f5c8cb947afca4
key: 15026dba546e3ae05836fc7de5a7bb26
base_nonce: 9518635eba129d5ce0914555
exporter_secret:
3d76025dbbedc49448ec3f9080a1abab6b06e91c0b11ad23c912f043a0ee7655
A.1.2.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 9518635eba129d5ce0914555
ct: e52c6fed7f758d0cf7145689f21bc1be6ec9ea097fef4e959440012f4feb73fb
611b946199e681f4cfc34db8ea
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 9518635eba129d5ce0914554
ct: 49f3b19b28a9ea9f43e8c71204c00d4a490ee7f61387b6719db765e948123b45
b61633ef059ba22cd62437c8ba
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 9518635eba129d5ce0914557
ct: 257ca6a08473dc851fde45afd598cc83e326ddd0abe1ef23baa3baa4dd8cde99
fce2c1e8ce687b0b47ead1adc9
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 9518635eba129d5ce0914551
ct: a71d73a2cd8128fcccbd328b9684d70096e073b59b40b55e6419c9c68ae21069
c847e2a70f5d8fb821ce3dfb1c
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 9518635eba129d5ce09145aa
ct: 55f84b030b7f7197f7d7d552365b6b932df5ec1abacd30241cb4bc4ccea27bd2
b518766adfa0fb1b71170e9392
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 9518635eba129d5ce0914455
ct: c5bf246d4a790a12dcc9eed5eae525081e6fb541d5849e9ce8abd92a3bc15517
76bea16b4a518f23e237c14b59
A.1.2.2. Exported Values
exporter_context:
L: 32
exported_value:
dff17af354c8b41673567db6259fd6029967b4e1aad13023c2ae5df8f4f43bf6
exporter_context: 00
L: 32
exported_value:
6a847261d8207fe596befb52928463881ab493da345b10e1dcc645e3b94e2d95
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
8aff52b45a1be3a734bc7a41e20b4e055ad4c4d22104b0c20285a7c4302401cd
A.1.3. Auth Setup Information
mode: 2
kem_id: 32
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
6e6d8f200ea2fb20c30b003a8b4f433d2f4ed4c2658d5bc8ce2fef718059c9f7
pkEm:
23fb952571a14a25e3d678140cd0e5eb47a0961bb18afcf85896e5453c312e76
skEm:
ff4442ef24fbc3c1ff86375b0be1e77e88a0de1e79b30896d73411c5ff4c3518
ikmR:
f1d4a30a4cef8d6d4e3b016e6fd3799ea057db4f345472ed302a67ce1c20cdec
pkRm:
1632d5c2f71c2b38d0a8fcc359355200caa8b1ffdf28618080466c909cb69b2e
skRm:
fdea67cf831f1ca98d8e27b1f6abeb5b7745e9d35348b80fa407ff6958f9137e
ikmS:
94b020ce91d73fca4649006c7e7329a67b40c55e9e93cc907d282bbbff386f58
pkSm:
8b0c70873dc5aecb7f9ee4e62406a397b350e57012be45cf53b7105ae731790b
skSm:
dc4a146313cce60a278a5323d321f051c5707e9c45ba21a3479fecdf76fc69dd
enc:
23fb952571a14a25e3d678140cd0e5eb47a0961bb18afcf85896e5453c312e76
shared_secret:
2d6db4cf719dc7293fcbf3fa64690708e44e2bebc81f84608677958c0d4448a7
key_schedule_context: 02725611c9d98c07c03f60095cd32d400d8347d45ed670
97bbad50fc56da742d07cb6cffde367bb0565ba28bb02c90744a20f5ef37f3052352
6106f637abb05449
secret:
56c62333d9d9f7767f5b083fdfce0aa7e57e301b74029bb0cffa7331385f1dda
key: b062cb2c4dd4bca0ad7c7a12bbc341e6
base_nonce: a1bc314c1942ade7051ffed0
exporter_secret:
ee1a093e6e1c393c162ea98fdf20560c75909653550540a2700511b65c88c6f1
A.1.3.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: a1bc314c1942ade7051ffed0
ct: 5fd92cc9d46dbf8943e72a07e42f363ed5f721212cd90bcfd072bfd9f44e06b8
0fd17824947496e21b680c141b
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: a1bc314c1942ade7051ffed1
ct: d3736bb256c19bfa93d79e8f80b7971262cb7c887e35c26370cfed62254369a1
b52e3d505b79dd699f002bc8ed
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: a1bc314c1942ade7051ffed2
ct: 122175cfd5678e04894e4ff8789e85dd381df48dcaf970d52057df2c9acc3b12
1313a2bfeaa986050f82d93645
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: a1bc314c1942ade7051ffed4
ct: dae12318660cf963c7bcbef0f39d64de3bf178cf9e585e756654043cc5059873
bc8af190b72afc43d1e0135ada
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: a1bc314c1942ade7051ffe2f
ct: 55d53d85fe4d9e1e97903101eab0b4865ef20cef28765a47f840ff99625b7d69
dee927df1defa66a036fc58ff2
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: a1bc314c1942ade7051fffd0
ct: 42fa248a0e67ccca688f2b1d13ba4ba84755acf764bd797c8f7ba3b9b1dc3330
326f8d172fef6003c79ec72319
A.1.3.2. Exported Values
exporter_context:
L: 32
exported_value:
28c70088017d70c896a8420f04702c5a321d9cbf0279fba899b59e51bac72c85
exporter_context: 00
L: 32
exported_value:
25dfc004b0892be1888c3914977aa9c9bbaf2c7471708a49e1195af48a6f29ce
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
5a0131813abc9a522cad678eb6bafaabc43389934adb8097d23c5ff68059eb64
A.1.4. AuthPSK Setup Information
mode: 3
kem_id: 32
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
4303619085a20ebcf18edd22782952b8a7161e1dbae6e46e143a52a96127cf84
pkEm:
820818d3c23993492cc5623ab437a48a0a7ca3e9639c140fe1e33811eb844b7c
skEm:
14de82a5897b613616a00c39b87429df35bc2b426bcfd73febcb45e903490768
ikmR:
4b16221f3b269a88e207270b5e1de28cb01f847841b344b8314d6a622fe5ee90
pkRm:
1d11a3cd247ae48e901939659bd4d79b6b959e1f3e7d66663fbc9412dd4e0976
skRm:
cb29a95649dc5656c2d054c1aa0d3df0493155e9d5da6d7e344ed8b6a64a9423
ikmS:
62f77dcf5df0dd7eac54eac9f654f426d4161ec850cc65c54f8b65d2e0b4e345
pkSm:
2bfb2eb18fcad1af0e4f99142a1c474ae74e21b9425fc5c589382c69b50cc57e
skSm:
fc1c87d2f3832adb178b431fce2ac77c7ca2fd680f3406c77b5ecdf818b119f4
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc:
820818d3c23993492cc5623ab437a48a0a7ca3e9639c140fe1e33811eb844b7c
shared_secret:
f9d0e870aba28d04709b2680cb8185466c6a6ff1d6e9d1091d5bf5e10ce3a577
key_schedule_context: 03e78d5cf6190d275863411ff5edd0dece5d39fa48e04e
ec1ed9b71be34729d18ccb6cffde367bb0565ba28bb02c90744a20f5ef37f3052352
6106f637abb05449
secret:
5f96c55e4108c6691829aaabaa7d539c0b41d7c72aae94ae289752f056b6cec4
key: 1364ead92c47aa7becfa95203037b19a
base_nonce: 99d8b5c54669807e9fc70df1
exporter_secret:
f048d55eacbf60f9c6154bd4021774d1075ebf963c6adc71fa846f183ab2dde6
A.1.4.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 99d8b5c54669807e9fc70df1
ct: a84c64df1e11d8fd11450039d4fe64ff0c8a99fca0bd72c2d4c3e0400bc14a40
f27e45e141a24001697737533e
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 99d8b5c54669807e9fc70df0
ct: 4d19303b848f424fc3c3beca249b2c6de0a34083b8e909b6aa4c3688505c05ff
e0c8f57a0a4c5ab9da127435d9
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 99d8b5c54669807e9fc70df3
ct: 0c085a365fbfa63409943b00a3127abce6e45991bc653f182a80120868fc507e
9e4d5e37bcc384fc8f14153b24
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 99d8b5c54669807e9fc70df5
ct: 000a3cd3a3523bf7d9796830b1cd987e841a8bae6561ebb6791a3f0e34e89a4f
b539faeee3428b8bbc082d2c1a
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 99d8b5c54669807e9fc70d0e
ct: 576d39dd2d4cc77d1a14a51d5c5f9d5e77586c3d8d2ab33bdec6379e28ce5c50
2f0b1cbd09047cf9eb9269bb52
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 99d8b5c54669807e9fc70cf1
ct: 13239bab72e25e9fd5bb09695d23c90a24595158b99127505c8a9ff9f127e0d6
57f71af59d67d4f4971da028f9
A.1.4.2. Exported Values
exporter_context:
L: 32
exported_value:
08f7e20644bb9b8af54ad66d2067457c5f9fcb2a23d9f6cb4445c0797b330067
exporter_context: 00
L: 32
exported_value:
52e51ff7d436557ced5265ff8b94ce69cf7583f49cdb374e6aad801fc063b010
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
a30c20370c026bbea4dca51cb63761695132d342bae33a6a11527d3e7679436d
A.2. DHKEM(X25519, HKDF-SHA256), HKDF-SHA256, ChaCha20Poly1305
A.2.1. Base Setup Information
mode: 0
kem_id: 32
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
909a9b35d3dc4713a5e72a4da274b55d3d3821a37e5d099e74a647db583a904b
pkEm:
1afa08d3dec047a643885163f1180476fa7ddb54c6a8029ea33f95796bf2ac4a
skEm:
f4ec9b33b792c372c1d2c2063507b684ef925b8c75a42dbcbf57d63ccd381600
ikmR:
1ac01f181fdf9f352797655161c58b75c656a6cc2716dcb66372da835542e1df
pkRm:
4310ee97d88cc1f088a5576c77ab0cf5c3ac797f3d95139c6c84b5429c59662a
skRm:
8057991eef8f1f1af18f4a9491d16a1ce333f695d4db8e38da75975c4478e0fb
enc:
1afa08d3dec047a643885163f1180476fa7ddb54c6a8029ea33f95796bf2ac4a
shared_secret:
0bbe78490412b4bbea4812666f7916932b828bba79942424abb65244930d69a7
key_schedule_context: 00431df6cd95e11ff49d7013563baf7f11588c75a6611e
e2a4404a49306ae4cfc5b69c5718a60cc5876c358d3f7fc31ddb598503f67be58ea1
e798c0bb19eb9796
secret:
5b9cd775e64b437a2335cf499361b2e0d5e444d5cb41a8a53336d8fe402282c6
key:
ad2744de8e17f4ebba575b3f5f5a8fa1f69c2a07f6e7500bc60ca6e3e3ec1c91
base_nonce: 5c4d98150661b848853b547f
exporter_secret:
a3b010d4994890e2c6968a36f64470d3c824c8f5029942feb11e7a74b2921922
A.2.1.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 5c4d98150661b848853b547f
ct: 1c5250d8034ec2b784ba2cfd69dbdb8af406cfe3ff938e131f0def8c8b60b4db
21993c62ce81883d2dd1b51a28
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 5c4d98150661b848853b547e
ct: 6b53c051e4199c518de79594e1c4ab18b96f081549d45ce015be002090bb119e
85285337cc95ba5f59992dc98c
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 5c4d98150661b848853b547d
ct: 71146bd6795ccc9c49ce25dda112a48f202ad220559502cef1f34271e0cb4b02
b4f10ecac6f48c32f878fae86b
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 5c4d98150661b848853b547b
ct: 63357a2aa291f5a4e5f27db6baa2af8cf77427c7c1a909e0b37214dd47db122b
b153495ff0b02e9e54a50dbe16
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 5c4d98150661b848853b5480
ct: 18ab939d63ddec9f6ac2b60d61d36a7375d2070c9b683861110757062c52b888
0a5f6b3936da9cd6c23ef2a95c
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 5c4d98150661b848853b557f
ct: 7a4a13e9ef23978e2c520fd4d2e757514ae160cd0cd05e556ef692370ca53076
214c0c40d4c728d6ed9e727a5b
A.2.1.2. Exported Values
exporter_context:
L: 32
exported_value:
4bbd6243b8bb54cec311fac9df81841b6fd61f56538a775e7c80a9f40160606e
exporter_context: 00
L: 32
exported_value:
8c1df14732580e5501b00f82b10a1647b40713191b7c1240ac80e2b68808ba69
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
5acb09211139c43b3090489a9da433e8a30ee7188ba8b0a9a1ccf0c229283e53
A.2.2. PSK Setup Information
mode: 1
kem_id: 32
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
35706a0b09fb26fb45c39c2f5079c709c7cf98e43afa973f14d88ece7e29c2e3
pkEm:
2261299c3f40a9afc133b969a97f05e95be2c514e54f3de26cbe5644ac735b04
skEm:
0c35fdf49df7aa01cd330049332c40411ebba36e0c718ebc3edf5845795f6321
ikmR:
26b923eade72941c8a85b09986cdfa3f1296852261adedc52d58d2930269812b
pkRm:
13640af826b722fc04feaa4de2f28fbd5ecc03623b317834e7ff4120dbe73062
skRm:
77d114e0212be51cb1d76fa99dd41cfd4d0166b08caa09074430a6c59ef17879
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc:
2261299c3f40a9afc133b969a97f05e95be2c514e54f3de26cbe5644ac735b04
shared_secret:
4be079c5e77779d0215b3f689595d59e3e9b0455d55662d1f3666ec606e50ea7
key_schedule_context: 016870c4c76ca38ae43efbec0f2377d109499d7ce73f4a
9e1ec37f21d3d063b97cb69c5718a60cc5876c358d3f7fc31ddb598503f67be58ea1
e798c0bb19eb9796
secret:
16974354c497c9bd24c000ceed693779b604f1944975b18c442d373663f4a8cc
key:
600d2fdb0313a7e5c86a9ce9221cd95bed069862421744cfb4ab9d7203a9c019
base_nonce: 112e0465562045b7368653e7
exporter_secret:
73b506dc8b6b4269027f80b0362def5cbb57ee50eed0c2873dac9181f453c5ac
A.2.2.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 112e0465562045b7368653e7
ct: 4a177f9c0d6f15cfdf533fb65bf84aecdc6ab16b8b85b4cf65a370e07fc1d78d
28fb073214525276f4a89608ff
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 112e0465562045b7368653e6
ct: 5c3cabae2f0b3e124d8d864c116fd8f20f3f56fda988c3573b40b09997fd6c76
9e77c8eda6cda4f947f5b704a8
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 112e0465562045b7368653e5
ct: 14958900b44bdae9cbe5a528bf933c5c990dbb8e282e6e495adf8205d19da9eb
270e3a6f1e0613ab7e757962a4
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 112e0465562045b7368653e3
ct: c2a7bc09ddb853cf2effb6e8d058e346f7fe0fb3476528c80db6b698415c5f8c
50b68a9a355609e96d2117f8d3
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 112e0465562045b736865318
ct: 2414d0788e4bc39a59a26d7bd5d78e111c317d44c37bd5a4c2a1235f2ddc2085
c487d406490e75210c958724a7
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 112e0465562045b7368652e7
ct: c567ae1c3f0f75abe1dd9e4532b422600ed4a6e5b9484dafb1e43ab9f5fd662b
28c00e2e81d3cde955dae7e218
A.2.2.2. Exported Values
exporter_context:
L: 32
exported_value:
813c1bfc516c99076ae0f466671f0ba5ff244a41699f7b2417e4c59d46d39f40
exporter_context: 00
L: 32
exported_value:
2745cf3d5bb65c333658732954ee7af49eb895ce77f8022873a62a13c94cb4e1
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
ad40e3ae14f21c99bfdebc20ae14ab86f4ca2dc9a4799d200f43a25f99fa78ae
A.2.3. Auth Setup Information
mode: 2
kem_id: 32
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
938d3daa5a8904540bc24f48ae90eed3f4f7f11839560597b55e7c9598c996c0
pkEm:
f7674cc8cd7baa5872d1f33dbaffe3314239f6197ddf5ded1746760bfc847e0e
skEm:
c94619e1af28971c8fa7957192b7e62a71ca2dcdde0a7cc4a8a9e741d600ab13
ikmR:
64835d5ee64aa7aad57c6f2e4f758f7696617f8829e70bc9ac7a5ef95d1c756c
pkRm:
1a478716d63cb2e16786ee93004486dc151e988b34b475043d3e0175bdb01c44
skRm:
3ca22a6d1cda1bb9480949ec5329d3bf0b080ca4c45879c95eddb55c70b80b82
ikmS:
9d8f94537d5a3ddef71234c0baedfad4ca6861634d0b94c3007fed557ad17df6
pkSm:
f0f4f9e96c54aeed3f323de8534fffd7e0577e4ce269896716bcb95643c8712b
skSm:
2def0cb58ffcf83d1062dd085c8aceca7f4c0c3fd05912d847b61f3e54121f05
enc:
f7674cc8cd7baa5872d1f33dbaffe3314239f6197ddf5ded1746760bfc847e0e
shared_secret:
d2d67828c8bc9fa661cf15a31b3ebf1febe0cafef7abfaaca580aaf6d471e3eb
key_schedule_context: 02431df6cd95e11ff49d7013563baf7f11588c75a6611e
e2a4404a49306ae4cfc5b69c5718a60cc5876c358d3f7fc31ddb598503f67be58ea1
e798c0bb19eb9796
secret:
3022dfc0a81d6e09a2e6daeeb605bb1ebb9ac49535540d9a4c6560064a6c6da8
key:
b071fd1136680600eb447a845a967d35e9db20749cdf9ce098bcc4deef4b1356
base_nonce: d20577dff16d7cea2c4bf780
exporter_secret:
be2d93b82071318cdb88510037cf504344151f2f9b9da8ab48974d40a2251dd7
A.2.3.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: d20577dff16d7cea2c4bf780
ct: ab1a13c9d4f01a87ec3440dbd756e2677bd2ecf9df0ce7ed73869b98e00c09be
111cb9fdf077347aeb88e61bdf
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: d20577dff16d7cea2c4bf781
ct: 3265c7807ffff7fdace21659a2c6ccffee52a26d270c76468ed74202a65478bf
aedfff9c2b7634e24f10b71016
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: d20577dff16d7cea2c4bf782
ct: 3aadee86ad2a05081ea860033a9d09dbccb4acac2ded0891da40f51d4df19925
f7a767b076a5cbc9355c8fd35e
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: d20577dff16d7cea2c4bf784
ct: 502ecccd5c2be3506a081809cc58b43b94f77cbe37b8b31712d9e21c9e61aa69
46a8e922f54eae630f88eb8033
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: d20577dff16d7cea2c4bf77f
ct: 652e597ba20f3d9241cda61f33937298b1169e6adf72974bbe454297502eb4be
132e1c5064702fc165c2ddbde8
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: d20577dff16d7cea2c4bf680
ct: 3be14e8b3bbd1028cf2b7d0a691dbbeff71321e7dec92d3c2cfb30a0994ab246
af76168480285a60037b4ba13a
A.2.3.2. Exported Values
exporter_context:
L: 32
exported_value:
070cffafd89b67b7f0eeb800235303a223e6ff9d1e774dce8eac585c8688c872
exporter_context: 00
L: 32
exported_value:
2852e728568d40ddb0edde284d36a4359c56558bb2fb8837cd3d92e46a3a14a8
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
1df39dc5dd60edcbf5f9ae804e15ada66e885b28ed7929116f768369a3f950ee
A.2.4. AuthPSK Setup Information
mode: 3
kem_id: 32
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
49d6eac8c6c558c953a0a252929a818745bb08cd3d29e15f9f5db5eb2e7d4b84
pkEm:
656a2e00dc9990fd189e6e473459392df556e9a2758754a09db3f51179a3fc02
skEm:
5e6dd73e82b856339572b7245d3cbb073a7561c0bee52873490e305cbb710410
ikmR:
f3304ddcf15848488271f12b75ecaf72301faabf6ad283654a14c398832eb184
pkRm:
a5099431c35c491ec62ca91df1525d6349cb8aa170c51f9581f8627be6334851
skRm:
7b36a42822e75bf3362dfabbe474b3016236408becb83b859a6909e22803cb0c
ikmS:
20ade1d5203de1aadfb261c4700b6432e260d0d317be6ebbb8d7fffb1f86ad9d
pkSm:
3ac5bd4dd66ff9f2740bef0d6ccb66daa77bff7849d7895182b07fb74d087c45
skSm:
90761c5b0a7ef0985ed66687ad708b921d9803d51637c8d1cb72d03ed0f64418
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc:
656a2e00dc9990fd189e6e473459392df556e9a2758754a09db3f51179a3fc02
shared_secret:
86a6c0ed17714f11d2951747e660857a5fd7616c933ef03207808b7a7123fe67
key_schedule_context: 036870c4c76ca38ae43efbec0f2377d109499d7ce73f4a
9e1ec37f21d3d063b97cb69c5718a60cc5876c358d3f7fc31ddb598503f67be58ea1
e798c0bb19eb9796
secret:
22670daee17530c9564001d0a7e740e80d0bcc7ae15349f472fcc9e057cbc259
key:
49c7e6d7d2d257aded2a746fe6a9bf12d4de8007c4862b1fdffe8c35fb65054c
base_nonce: abac79931e8c1bcb8a23960a
exporter_secret:
7c6cc1bb98993cd93e2599322247a58fd41fdecd3db895fb4c5fd8d6bbe606b5
A.2.4.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: abac79931e8c1bcb8a23960a
ct: 9aa52e29274fc6172e38a4461361d2342585d3aeec67fb3b721ecd63f059577c
7fe886be0ede01456ebc67d597
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: abac79931e8c1bcb8a23960b
ct: 59460bacdbe7a920ef2806a74937d5a691d6d5062d7daafcad7db7e4d8c649ad
ffe575c1889c5c2e3a49af8e3e
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: abac79931e8c1bcb8a239608
ct: 5688ff6a03ba26ae936044a5c800f286fb5d1eccdd2a0f268f6ff9773b511693
18d1a1466bb36263415071db00
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: abac79931e8c1bcb8a23960e
ct: d936b7a01f5c7dc4c3dc04e322cc694684ee18dd71719196874e5235aed3cfb0
6cadcd3bc7da0877488d7c551d
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: abac79931e8c1bcb8a2396f5
ct: 4d4c462f7b9b637eaf1f4e15e325b7bc629c0af6e3073422c86064cc3c98cff8
7300f054fd56dd57dc34358beb
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: abac79931e8c1bcb8a23970a
ct: 9b7f84224922d2a9edd7b2c2057f3bcf3a547f17570575e626202e593bfdd99e
9878a1af9e41ded58c7fb77d2f
A.2.4.2. Exported Values
exporter_context:
L: 32
exported_value:
c23ebd4e7a0ad06a5dddf779f65004ce9481069ce0f0e6dd51a04539ddcbd5cd
exporter_context: 00
L: 32
exported_value:
ed7ff5ca40a3d84561067ebc8e01702bc36cf1eb99d42a92004642b9dfaadd37
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
d3bae066aa8da27d527d85c040f7dd6ccb60221c902ee36a82f70bcd62a60ee4
A.3. DHKEM(P-256, HKDF-SHA256), HKDF-SHA256, AES-128-GCM
A.3.1. Base Setup Information
mode: 0
kem_id: 16
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
4270e54ffd08d79d5928020af4686d8f6b7d35dbe470265f1f5aa22816ce860e
pkEm: 04a92719c6195d5085104f469a8b9814d5838ff72b60501e2c4466e5e67b32
5ac98536d7b61a1af4b78e5b7f951c0900be863c403ce65c9bfcb9382657222d18c4
skEm:
4995788ef4b9d6132b249ce59a77281493eb39af373d236a1fe415cb0c2d7beb
ikmR:
668b37171f1072f3cf12ea8a236a45df23fc13b82af3609ad1e354f6ef817550
pkRm: 04fe8c19ce0905191ebc298a9245792531f26f0cece2460639e8bc39cb7f70
6a826a779b4cf969b8a0e539c7f62fb3d30ad6aa8f80e30f1d128aafd68a2ce72ea0
skRm:
f3ce7fdae57e1a310d87f1ebbde6f328be0a99cdbcadf4d6589cf29de4b8ffd2
enc: 04a92719c6195d5085104f469a8b9814d5838ff72b60501e2c4466e5e67b325
ac98536d7b61a1af4b78e5b7f951c0900be863c403ce65c9bfcb9382657222d18c4
shared_secret:
c0d26aeab536609a572b07695d933b589dcf363ff9d93c93adea537aeabb8cb8
key_schedule_context: 00b88d4e6d91759e65e87c470e8b9141113e9ad5f0c8ce
efc1e088c82e6980500798e486f9c9c09c9b5c753ac72d6005de254c607d1b534ed1
1d493ae1c1d9ac85
secret:
2eb7b6bf138f6b5aff857414a058a3f1750054a9ba1f72c2cf0684a6f20b10e1
key: 868c066ef58aae6dc589b6cfdd18f97e
base_nonce: 4e0bc5018beba4bf004cca59
exporter_secret:
14ad94af484a7ad3ef40e9f3be99ecc6fa9036df9d4920548424df127ee0d99f
A.3.1.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 4e0bc5018beba4bf004cca59
ct: 5ad590bb8baa577f8619db35a36311226a896e7342a6d836d8b7bcd2f20b6c7f
9076ac232e3ab2523f39513434
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 4e0bc5018beba4bf004cca58
ct: fa6f037b47fc21826b610172ca9637e82d6e5801eb31cbd3748271affd4ecb06
646e0329cbdf3c3cd655b28e82
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 4e0bc5018beba4bf004cca5b
ct: 895cabfac50ce6c6eb02ffe6c048bf53b7f7be9a91fc559402cbc5b8dcaeb52b
2ccc93e466c28fb55fed7a7fec
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 4e0bc5018beba4bf004cca5d
ct: 8787491ee8df99bc99a246c4b3216d3d57ab5076e18fa27133f520703bc70ec9
99dd36ce042e44f0c3169a6a8f
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 4e0bc5018beba4bf004ccaa6
ct: 2ad71c85bf3f45c6eca301426289854b31448bcf8a8ccb1deef3ebd87f60848a
a53c538c30a4dac71d619ee2cd
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 4e0bc5018beba4bf004ccb59
ct: 10f179686aa2caec1758c8e554513f16472bd0a11e2a907dde0b212cbe87d74f
367f8ffe5e41cd3e9962a6afb2
A.3.1.2. Exported Values
exporter_context:
L: 32
exported_value:
5e9bc3d236e1911d95e65b576a8a86d478fb827e8bdfe77b741b289890490d4d
exporter_context: 00
L: 32
exported_value:
6cff87658931bda83dc857e6353efe4987a201b849658d9b047aab4cf216e796
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
d8f1ea7942adbba7412c6d431c62d01371ea476b823eb697e1f6e6cae1dab85a
A.3.2. PSK Setup Information
mode: 1
kem_id: 16
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
2afa611d8b1a7b321c761b483b6a053579afa4f767450d3ad0f84a39fda587a6
pkEm: 04305d35563527bce037773d79a13deabed0e8e7cde61eecee403496959e89
e4d0ca701726696d1485137ccb5341b3c1c7aaee90a4a02449725e744b1193b53b5f
skEm:
57427244f6cc016cddf1c19c8973b4060aa13579b4c067fd5d93a5d74e32a90f
ikmR:
d42ef874c1913d9568c9405407c805baddaffd0898a00f1e84e154fa787b2429
pkRm: 040d97419ae99f13007a93996648b2674e5260a8ebd2b822e84899cd52d874
46ea394ca76223b76639eccdf00e1967db10ade37db4e7db476261fcc8df97c5ffd1
skRm:
438d8bcef33b89e0e9ae5eb0957c353c25a94584b0dd59c991372a75b43cb661
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 04305d35563527bce037773d79a13deabed0e8e7cde61eecee403496959e89e
4d0ca701726696d1485137ccb5341b3c1c7aaee90a4a02449725e744b1193b53b5f
shared_secret:
2e783ad86a1beae03b5749e0f3f5e9bb19cb7eb382f2fb2dd64c99f15ae0661b
key_schedule_context: 01b873cdf2dff4c1434988053b7a775e980dd2039ea24f
950b26b056ccedcb933198e486f9c9c09c9b5c753ac72d6005de254c607d1b534ed1
1d493ae1c1d9ac85
secret:
f2f534e55931c62eeb2188c1f53450354a725183937e68c85e68d6b267504d26
key: 55d9eb9d26911d4c514a990fa8d57048
base_nonce: b595dc6b2d7e2ed23af529b1
exporter_secret:
895a723a1eab809804973a53c0ee18ece29b25a7555a4808277ad2651d66d705
A.3.2.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: b595dc6b2d7e2ed23af529b1
ct: 90c4deb5b75318530194e4bb62f890b019b1397bbf9d0d6eb918890e1fb2be1a
c2603193b60a49c2126b75d0eb
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: b595dc6b2d7e2ed23af529b0
ct: 9e223384a3620f4a75b5a52f546b7262d8826dea18db5a365feb8b997180b22d
72dc1287f7089a1073a7102c27
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: b595dc6b2d7e2ed23af529b3
ct: adf9f6000773035023be7d415e13f84c1cb32a24339a32eb81df02be9ddc6abc
880dd81cceb7c1d0c7781465b2
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: b595dc6b2d7e2ed23af529b5
ct: 1f4cc9b7013d65511b1f69c050b7bd8bbd5a5c16ece82b238fec4f30ba2400e7
ca8ee482ac5253cffb5c3dc577
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: b595dc6b2d7e2ed23af5294e
ct: cdc541253111ed7a424eea5134dc14fc5e8293ab3b537668b8656789628e4589
4e5bb873c968e3b7cdcbb654a4
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: b595dc6b2d7e2ed23af528b1
ct: faf985208858b1253b97b60aecd28bc18737b58d1242370e7703ec33b73a4c31
a1afee300e349adef9015bbbfd
A.3.2.2. Exported Values
exporter_context:
L: 32
exported_value:
a115a59bf4dd8dc49332d6a0093af8efca1bcbfd3627d850173f5c4a55d0c185
exporter_context: 00
L: 32
exported_value:
4517eaede0669b16aac7c92d5762dd459c301fa10e02237cd5aeb9be969430c4
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
164e02144d44b607a7722e58b0f4156e67c0c2874d74cf71da6ca48a4cbdc5e0
A.3.3. Auth Setup Information
mode: 2
kem_id: 16
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
798d82a8d9ea19dbc7f2c6dfa54e8a6706f7cdc119db0813dacf8440ab37c857
pkEm: 042224f3ea800f7ec55c03f29fc9865f6ee27004f818fcbdc6dc68932c1e52
e15b79e264a98f2c535ef06745f3d308624414153b22c7332bc1e691cb4af4d53454
skEm:
6b8de0873aed0c1b2d09b8c7ed54cbf24fdf1dfc7a47fa501f918810642d7b91
ikmR:
7bc93bde8890d1fb55220e7f3b0c107ae7e6eda35ca4040bb6651284bf0747ee
pkRm: 04423e363e1cd54ce7b7573110ac121399acbc9ed815fae03b72ffbd4c18b0
1836835c5a09513f28fc971b7266cfde2e96afe84bb0f266920e82c4f53b36e1a78d
skRm:
d929ab4be2e59f6954d6bedd93e638f02d4046cef21115b00cdda2acb2a4440e
ikmS:
874baa0dcf93595a24a45a7f042e0d22d368747daaa7e19f80a802af19204ba8
pkSm: 04a817a0902bf28e036d66add5d544cc3a0457eab150f104285df1e293b5c1
0eef8651213e43d9cd9086c80b309df22cf37609f58c1127f7607e85f210b2804f73
skSm:
1120ac99fb1fccc1e8230502d245719d1b217fe20505c7648795139d177f0de9
enc: 042224f3ea800f7ec55c03f29fc9865f6ee27004f818fcbdc6dc68932c1e52e
15b79e264a98f2c535ef06745f3d308624414153b22c7332bc1e691cb4af4d53454
shared_secret:
d4aea336439aadf68f9348880aa358086f1480e7c167b6ef15453ba69b94b44f
key_schedule_context: 02b88d4e6d91759e65e87c470e8b9141113e9ad5f0c8ce
efc1e088c82e6980500798e486f9c9c09c9b5c753ac72d6005de254c607d1b534ed1
1d493ae1c1d9ac85
secret:
fd0a93c7c6f6b1b0dd6a822d7b16f6c61c83d98ad88426df4613c3581a2319f1
key: 19aa8472b3fdc530392b0e54ca17c0f5
base_nonce: b390052d26b67a5b8a8fcaa4
exporter_secret:
f152759972660eb0e1db880835abd5de1c39c8e9cd269f6f082ed80e28acb164
A.3.3.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: b390052d26b67a5b8a8fcaa4
ct: 82ffc8c44760db691a07c5627e5fc2c08e7a86979ee79b494a17cc3405446ac2
bdb8f265db4a099ed3289ffe19
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: b390052d26b67a5b8a8fcaa5
ct: b0a705a54532c7b4f5907de51c13dffe1e08d55ee9ba59686114b05945494d96
725b239468f1229e3966aa1250
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: b390052d26b67a5b8a8fcaa6
ct: 8dc805680e3271a801790833ed74473710157645584f06d1b53ad439078d880b
23e25256663178271c80ee8b7c
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: b390052d26b67a5b8a8fcaa0
ct: 04c8f7aae1584b61aa5816382cb0b834a5d744f420e6dffb5ddcec633a21b8b3
472820930c1ea9258b035937a2
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: b390052d26b67a5b8a8fca5b
ct: 4a319462eaedee37248b4d985f64f4f863d31913fe9e30b6e13136053b69fe5d
70853c84c60a84bb5495d5a678
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: b390052d26b67a5b8a8fcba4
ct: 28e874512f8940fafc7d06135e7589f6b4198bc0f3a1c64702e72c9e6abaf9f0
5cb0d2f11b03a517898815c934
A.3.3.2. Exported Values
exporter_context:
L: 32
exported_value:
837e49c3ff629250c8d80d3c3fb957725ed481e59e2feb57afd9fe9a8c7c4497
exporter_context: 00
L: 32
exported_value:
594213f9018d614b82007a7021c3135bda7b380da4acd9ab27165c508640dbda
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
14fe634f95ca0d86e15247cca7de7ba9b73c9b9deb6437e1c832daf7291b79d5
A.3.4. AuthPSK Setup Information
mode: 3
kem_id: 16
kdf_id: 1
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
3c1fceb477ec954c8d58ef3249e4bb4c38241b5925b95f7486e4d9f1d0d35fbb
pkEm: 046a1de3fc26a3d43f4e4ba97dbe24f7e99181136129c48fbe872d4743e2b1
31357ed4f29a7b317dc22509c7b00991ae990bf65f8b236700c82ab7c11a84511401
skEm:
36f771e411cf9cf72f0701ef2b991ce9743645b472e835fe234fb4d6eb2ff5a0
ikmR:
abcc2da5b3fa81d8aabd91f7f800a8ccf60ec37b1b585a5d1d1ac77f258b6cca
pkRm: 04d824d7e897897c172ac8a9e862e4bd820133b8d090a9b188b8233a64dfbc
5f725aa0aa52c8462ab7c9188f1c4872f0c99087a867e8a773a13df48a627058e1b3
skRm:
bdf4e2e587afdf0930644a0c45053889ebcadeca662d7c755a353d5b4e2a8394
ikmS:
6262031f040a9db853edd6f91d2272596eabbc78a2ed2bd643f770ecd0f19b82
pkSm: 049f158c750e55d8d5ad13ede66cf6e79801634b7acadcad72044eac2ae1d0
480069133d6488bf73863fa988c4ba8bde1c2e948b761274802b4d8012af4f13af9e
skSm:
b0ed8721db6185435898650f7a677affce925aba7975a582653c4cb13c72d240
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 046a1de3fc26a3d43f4e4ba97dbe24f7e99181136129c48fbe872d4743e2b13
1357ed4f29a7b317dc22509c7b00991ae990bf65f8b236700c82ab7c11a84511401
shared_secret:
d4c27698391db126f1612d9e91a767f10b9b19aa17e1695549203f0df7d9aebe
key_schedule_context: 03b873cdf2dff4c1434988053b7a775e980dd2039ea24f
950b26b056ccedcb933198e486f9c9c09c9b5c753ac72d6005de254c607d1b534ed1
1d493ae1c1d9ac85
secret:
3bf9d4c7955da2740414e73081fa74d6f6f2b4b9645d0685219813ce99a2f270
key: 4d567121d67fae1227d90e11585988fb
base_nonce: 67c9d05330ca21e5116ecda6
exporter_secret:
3f479020ae186788e4dfd4a42a21d24f3faabb224dd4f91c2b2e5e9524ca27b2
A.3.4.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 67c9d05330ca21e5116ecda6
ct: b9f36d58d9eb101629a3e5a7b63d2ee4af42b3644209ab37e0a272d44365407d
b8e655c72e4fa46f4ff81b9246
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 67c9d05330ca21e5116ecda7
ct: 51788c4e5d56276771032749d015d3eea651af0c7bb8e3da669effffed299ea1
f641df621af65579c10fc09736
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 67c9d05330ca21e5116ecda4
ct: 3b5a2be002e7b29927f06442947e1cf709b9f8508b03823127387223d7127034
71c266efc355f1bc2036f3027c
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 67c9d05330ca21e5116ecda2
ct: 8ddbf1242fe5c7d61e1675496f3bfdb4d90205b3dfbc1b12aab41395d71a8211
8e095c484103107cf4face5123
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 67c9d05330ca21e5116ecd59
ct: 6de25ceadeaec572fbaa25eda2558b73c383fe55106abaec24d518ef6724a7ce
698f83ecdc53e640fe214d2f42
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 67c9d05330ca21e5116ecca6
ct: f380e19d291e12c5e378b51feb5cd50f6d00df6cb2af8393794c4df342126c2e
29633fe7e8ce49587531affd4d
A.3.4.2. Exported Values
exporter_context:
L: 32
exported_value:
595ce0eff405d4b3bb1d08308d70a4e77226ce11766e0a94c4fdb5d90025c978
exporter_context: 00
L: 32
exported_value:
110472ee0ae328f57ef7332a9886a1992d2c45b9b8d5abc9424ff68630f7d38d
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
18ee4d001a9d83a4c67e76f88dd747766576cac438723bad0700a910a4d717e6
A.4. DHKEM(P-256, HKDF-SHA256), HKDF-SHA512, AES-128-GCM
A.4.1. Base Setup Information
mode: 0
kem_id: 16
kdf_id: 3
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
4ab11a9dd78c39668f7038f921ffc0993b368171d3ddde8031501ee1e08c4c9a
pkEm: 0493ed86735bdfb978cc055c98b45695ad7ce61ce748f4dd63c525a3b8d53a
15565c6897888070070c1579db1f86aaa56deb8297e64db7e8924e72866f9a472580
skEm:
2292bf14bb6e15b8c81a0f45b7a6e93e32d830e48cca702e0affcfb4d07e1b5c
ikmR:
ea9ff7cc5b2705b188841c7ace169290ff312a9cb31467784ca92d7a2e6e1be8
pkRm: 04085aa5b665dc3826f9650ccbcc471be268c8ada866422f739e2d531d4a88
18a9466bc6b449357096232919ec4fe9070ccbac4aac30f4a1a53efcf7af90610edd
skRm:
3ac8530ad1b01885960fab38cf3cdc4f7aef121eaa239f222623614b4079fb38
enc: 0493ed86735bdfb978cc055c98b45695ad7ce61ce748f4dd63c525a3b8d53a1
5565c6897888070070c1579db1f86aaa56deb8297e64db7e8924e72866f9a472580
shared_secret:
02f584736390fc93f5b4ad039826a3fa08e9911bd1215a3db8e8791ba533cafd
key_schedule_context: 005b8a3617af7789ee716e7911c7e77f84cdc4cc46e60f
b7e19e4059f9aeadc00585e26874d1ddde76e551a7679cd47168c466f6e1f705cc93
74c192778a34fcd5ca221d77e229a9d11b654de7942d685069c633b2362ce3b3d8ea
4891c9a2a87a4eb7cdb289ba5e2ecbf8cd2c8498bb4a383dc021454d70d46fcbbad1
252ef4f9
secret: 0c7acdab61693f936c4c1256c78e7be30eebfe466812f9cc49f0b58dc970
328dfc03ea359be0250a471b1635a193d2dfa8cb23c90aa2e25025b892a725353eeb
key: 090ca96e5f8aa02b69fac360da50ddf9
base_nonce: 9c995e621bf9a20c5ca45546
exporter_secret: 4a7abb2ac43e6553f129b2c5750a7e82d149a76ed56dc342d7b
ca61e26d494f4855dff0d0165f27ce57756f7f16baca006539bb8e4518987ba61048
0ac03efa8
A.4.1.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 9c995e621bf9a20c5ca45546
ct: d3cf4984931484a080f74c1bb2a6782700dc1fef9abe8442e44a6f09044c8890
7200b332003543754eb51917ba
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 9c995e621bf9a20c5ca45547
ct: d14414555a47269dfead9fbf26abb303365e40709a4ed16eaefe1f2070f1ddeb
1bdd94d9e41186f124e0acc62d
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 9c995e621bf9a20c5ca45544
ct: 9bba136cade5c4069707ba91a61932e2cbedda2d9c7bdc33515aa01dd0e0f7e9
d3579bf4016dec37da4aafa800
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 9c995e621bf9a20c5ca45542
ct: a531c0655342be013bf32112951f8df1da643602f1866749519f5dcb09cc6843
2579de305a77e6864e862a7600
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 9c995e621bf9a20c5ca455b9
ct: be5da649469efbad0fb950366a82a73fefeda5f652ec7d3731fac6c4ffa21a70
04d2ab8a04e13621bd3629547d
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 9c995e621bf9a20c5ca45446
ct: 62092672f5328a0dde095e57435edf7457ace60b26ee44c9291110ec135cb0e1
4b85594e4fea11247d937deb62
A.4.1.2. Exported Values
exporter_context:
L: 32
exported_value:
a32186b8946f61aeead1c093fe614945f85833b165b28c46bf271abf16b57208
exporter_context: 00
L: 32
exported_value:
84998b304a0ea2f11809398755f0abd5f9d2c141d1822def79dd15c194803c2a
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
93fb9411430b2cfa2cf0bed448c46922a5be9beff20e2e621df7e4655852edbc
A.4.2. PSK Setup Information
mode: 1
kem_id: 16
kdf_id: 3
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
c11d883d6587f911d2ddbc2a0859d5b42fb13bf2c8e89ef408a25564893856f5
pkEm: 04a307934180ad5287f95525fe5bc6244285d7273c15e061f0f2efb211c350
57f3079f6e0abae200992610b25f48b63aacfcb669106ddee8aa023feed301901371
skEm:
a5901ff7d6931959c2755382ea40a4869b1dec3694ed3b009dda2d77dd488f18
ikmR:
75bfc2a3a3541170a54c0b06444e358d0ee2b4fb78a401fd399a47a33723b700
pkRm: 043f5266fba0742db649e1043102b8a5afd114465156719cea90373229aabd
d84d7f45dabfc1f55664b888a7e86d594853a6cccdc9b189b57839cbbe3b90b55873
skRm:
bc6f0b5e22429e5ff47d5969003f3cae0f4fec50e23602e880038364f33b8522
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 04a307934180ad5287f95525fe5bc6244285d7273c15e061f0f2efb211c3505
7f3079f6e0abae200992610b25f48b63aacfcb669106ddee8aa023feed301901371
shared_secret:
2912aacc6eaebd71ff715ea50f6ef3a6637856b2a4c58ea61e0c3fc159e3bc16
key_schedule_context: 01713f73042575cebfd132f0cc4338523f8eae95c80a74
9f7cf3eb9436ff1c612ca62c37df27ca46d2cc162445a92c5f5fdc57bcde129ca7b1
f284b0c12297c037ca221d77e229a9d11b654de7942d685069c633b2362ce3b3d8ea
4891c9a2a87a4eb7cdb289ba5e2ecbf8cd2c8498bb4a383dc021454d70d46fcbbad1
252ef4f9
secret: ff2051d2128d5f3078de867143e076262ce1d0aecafc3fff3d607f1eaff0
5345c7d5ffcb3202cdecb3d1a2f7da20592a237747b6e855390cbe2109d3e6ac70c2
key: 0b910ba8d9cfa17e5f50c211cb32839a
base_nonce: 0c29e714eb52de5b7415a1b7
exporter_secret: 50c0a182b6f94b4c0bd955c4aa20df01f282cc12c43065a0812
fe4d4352790171ed2b2c4756ad7f5a730ba336c8f1edd0089d8331192058c385bae3
9c7cc8b57
A.4.2.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 0c29e714eb52de5b7415a1b7
ct: 57624b6e320d4aba0afd11f548780772932f502e2ba2a8068676b2a0d3b5129a
45b9faa88de39e8306da41d4cc
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 0c29e714eb52de5b7415a1b6
ct: 159d6b4c24bacaf2f5049b7863536d8f3ffede76302dace42080820fa51925d4
e1c72a64f87b14291a3057e00a
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 0c29e714eb52de5b7415a1b5
ct: bd24140859c99bf0055075e9c460032581dd1726d52cf980d308e9b20083ca62
e700b17892bcf7fa82bac751d0
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 0c29e714eb52de5b7415a1b3
ct: 93ddd55f82e9aaaa3cfc06840575f09d80160b20538125c2549932977d1238dd
e8126a4a91118faf8632f62cb8
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 0c29e714eb52de5b7415a148
ct: 377a98a3c34bf716581b05a6b3fdc257f245856384d5f2241c8840571c52f5c8
5c21138a4a81655edab8fe227d
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 0c29e714eb52de5b7415a0b7
ct: cc161f5a179831d456d119d2f2c19a6817289c75d1c61cd37ac8a450acd9efba
02e0ac00d128c17855931ff69a
A.4.2.2. Exported Values
exporter_context:
L: 32
exported_value:
8158bea21a6700d37022bb7802866edca30ebf2078273757b656ef7fc2e428cf
exporter_context: 00
L: 32
exported_value:
6a348ba6e0e72bb3ef22479214a139ef8dac57be34509a61087a12565473da8d
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
2f6d4f7a18ec48de1ef4469f596aada4afdf6d79b037ed3c07e0118f8723bffc
A.4.3. Auth Setup Information
mode: 2
kem_id: 16
kdf_id: 3
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
6bb031aa9197562da0b44e737db2b9e61f6c3ea1138c37de28fc37ac29bc7350
pkEm: 04fec59fa9f76f5d0f6c1660bb179cb314ed97953c53a60ab38f8e6ace60fd
59178084d0dd66e0f79172992d4ddb2e91172ce24949bcebfff158dcc417f2c6e9c6
skEm:
93cddd5288e7ef4884c8fe321d075df01501b993ff49ffab8184116f39b3c655
ikmR:
649a3f92edbb7a2516a0ade0b7dccc58a37240c4ba06f9726a952227b4adf6ff
pkRm: 04378bad519aab406e04d0e5608bcca809c02d6afd2272d4dd03e9357bd0ee
e8adf84c8deba3155c9cf9506d1d4c8bfefe3cf033a75716cc3cc07295100ec96276
skRm:
1ea4484be482bf25fdb2ed39e6a02ed9156b3e57dfb18dff82e4a048de990236
ikmS:
4d79b8691aab55a7265e8490a04bb3860ed64dece90953ad0dc43a6ea59b4bf2
pkSm: 0404d3c1f9fca22eb4a6d326125f0814c35593b1da8ea0d11a640730b215a2
59b9b98a34ad17e21617d19fe1d4fa39a4828bfdb306b729ec51c543caca3b2d9529
skSm:
02b266d66919f7b08f42ae0e7d97af4ca98b2dae3043bb7e0740ccadc1957579
enc: 04fec59fa9f76f5d0f6c1660bb179cb314ed97953c53a60ab38f8e6ace60fd5
9178084d0dd66e0f79172992d4ddb2e91172ce24949bcebfff158dcc417f2c6e9c6
shared_secret:
1ed49f6d7ada333d171cd63861a1cb700a1ec4236755a9cd5f9f8f67a2f8e7b3
key_schedule_context: 025b8a3617af7789ee716e7911c7e77f84cdc4cc46e60f
b7e19e4059f9aeadc00585e26874d1ddde76e551a7679cd47168c466f6e1f705cc93
74c192778a34fcd5ca221d77e229a9d11b654de7942d685069c633b2362ce3b3d8ea
4891c9a2a87a4eb7cdb289ba5e2ecbf8cd2c8498bb4a383dc021454d70d46fcbbad1
252ef4f9
secret: 9c846ba81ddbbd57bc26d99da6cf7ab956bb735ecd47fe21ed14241c7079
1b7484c1d06663d21a5d97bf1be70d56ab727f650c4f859c5ed3f71f8928b3c082dd
key: 9d4b1c83129f3de6db95faf3d539dcf1
base_nonce: ea4fd7a485ee5f1f4b62c1b7
exporter_secret: ca2410672369aae1afd6c2639f4fe34ca36d35410c090608d29
24f60def17f910d7928575434d7f991b1f19d3e8358b8278ff59ced0d5eed4774cec
72e12766e
A.4.3.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: ea4fd7a485ee5f1f4b62c1b7
ct: 2480179d880b5f458154b8bfe3c7e8732332de84aabf06fc440f6b31f169e154
157fa9eb44f2fa4d7b38a9236e
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: ea4fd7a485ee5f1f4b62c1b6
ct: 10cd81e3a816d29942b602a92884348171a31cbd0f042c3057c65cd93c540943
a5b05115bd520c09281061935b
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: ea4fd7a485ee5f1f4b62c1b5
ct: 920743a88d8cf6a09e1a3098e8be8edd09db136e9d543f215924043af8c7410f
68ce6aa64fd2b1a176e7f6b3fd
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: ea4fd7a485ee5f1f4b62c1b3
ct: 6b11380fcc708fc8589effb5b5e0394cbd441fa5e240b5500522150ca8265d65
ff55479405af936e2349119dcd
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: ea4fd7a485ee5f1f4b62c148
ct: d084eca50e7554bb97ba34c4482dfe32c9a2b7f3ab009c2d1b68ecbf97bee2d2
8cd94b6c829b96361f2701772d
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: ea4fd7a485ee5f1f4b62c0b7
ct: 247da592cc4ce834a94de2c79f5730ee49342470a021e4a4bc2bb77c53b17413
e94d94f57b4fdaedcf97cfe7b1
A.4.3.2. Exported Values
exporter_context:
L: 32
exported_value:
f03fbc82f321a0ab4840e487cb75d07aafd8e6f68485e4f7ff72b2f55ff24ad6
exporter_context: 00
L: 32
exported_value:
1ce0cadec0a8f060f4b5070c8f8888dcdfefc2e35819df0cd559928a11ff0891
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
70c405c707102fd0041ea716090753be47d68d238b111d542846bd0d84ba907c
A.4.4. AuthPSK Setup Information
mode: 3
kem_id: 16
kdf_id: 3
aead_id: 1
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
37ae06a521cd555648c928d7af58ad2aa4a85e34b8cabd069e94ad55ab872cc8
pkEm: 04801740f4b1b35823f7fb2930eac2efc8c4893f34ba111c0bb976e3c7d5dc
0aef5a7ef0bf4057949a140285f774f1efc53b3860936b92279a11b68395d898d138
skEm:
778f2254ae5d661d5c7fca8c4a7495a25bd13f26258e459159f3899df0de76c1
ikmR:
7466024b7e2d2366c3914d7833718f13afb9e3e45bcfbb510594d614ddd9b4e7
pkRm: 04a4ca7af2fc2cce48edbf2f1700983e927743a4e85bb5035ad562043e25d9
a111cbf6f7385fac55edc5c9d2ca6ed351a5643de95c36748e11dbec98730f4d43e9
skRm:
00510a70fde67af487c093234fc4215c1cdec09579c4b30cc8e48cb530414d0e
ikmS:
ee27aaf99bf5cd8398e9de88ac09a82ac22cdb8d0905ab05c0f5fa12ba1709f3
pkSm: 04b59a4157a9720eb749c95f842a5e3e8acdccbe834426d405509ac3191e23
f2165b5bb1f07a6240dd567703ae75e13182ee0f69fc102145cdb5abf681ff126d60
skSm:
d743b20821e6326f7a26684a4beed7088b35e392114480ca9f6c325079dcf10b
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 04801740f4b1b35823f7fb2930eac2efc8c4893f34ba111c0bb976e3c7d5dc0
aef5a7ef0bf4057949a140285f774f1efc53b3860936b92279a11b68395d898d138
shared_secret:
02bee8be0dda755846115db45071c0cf59c25722e015bde1c124de849c0fea52
key_schedule_context: 03713f73042575cebfd132f0cc4338523f8eae95c80a74
9f7cf3eb9436ff1c612ca62c37df27ca46d2cc162445a92c5f5fdc57bcde129ca7b1
f284b0c12297c037ca221d77e229a9d11b654de7942d685069c633b2362ce3b3d8ea
4891c9a2a87a4eb7cdb289ba5e2ecbf8cd2c8498bb4a383dc021454d70d46fcbbad1
252ef4f9
secret: 0f9df08908a6a3d06c8e934cd3f5313f9ebccd0986e316c0198bb48bed30
dc3db2f3baab94fd40c2c285c7288c77e2255401ee2d5884306addf4296b93c238b3
key: b68bb0e2fbf7431cedb46cc3b6f1fe9e
base_nonce: 76af62719d33d39a1cb6be9f
exporter_secret: 7f72308ae68c9a2b3862e686cb547b16d33d00fe482c770c471
7d8b54e9b1e547244c3602bdd86d5a788a8443befea0a7658002b23f1c96a62a6498
6fffc511a
A.4.4.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 76af62719d33d39a1cb6be9f
ct: 840669634db51e28df54f189329c1b727fd303ae413f003020aff5e26276aaa9
10fc4296828cb9d862c2fd7d16
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 76af62719d33d39a1cb6be9e
ct: d4680a48158d9a75fd09355878d6e33997a36ee01d4a8f22032b22373b795a94
1b7b9c5205ff99e0ff284beef4
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 76af62719d33d39a1cb6be9d
ct: c45eb6597de2bac929a0f5d404ba9d2dc1ea031880930f1fd7a283f0a0cbebb3
5eac1a9ee0d1225f5e0f181571
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 76af62719d33d39a1cb6be9b
ct: 4ee2482ad8d7d1e9b7e651c78b6ca26d3c5314d0711710ca62c2fd8bb8996d7d
8727c157538d5493da696b61f8
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 76af62719d33d39a1cb6be60
ct: 65596b731df010c76a915c6271a438056ce65696459432eeafdae7b4cadb6290
dd61e68edd4e40b659d2a8cbcc
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 76af62719d33d39a1cb6bf9f
ct: 9f659482ebc52f8303f9eac75656d807ec38ce2e50c72e3078cd13d86b30e3f8
90690a873277620f8a6a42d836
A.4.4.2. Exported Values
exporter_context:
L: 32
exported_value:
c8c917e137a616d3d4e4c9fcd9c50202f366cb0d37862376bc79f9b72e8a8db9
exporter_context: 00
L: 32
exported_value:
33a5d4df232777008a06d0684f23bb891cfaef702f653c8601b6ad4d08dddddf
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
bed80f2e54f1285895c4a3f3b3625e6206f78f1ed329a0cfb5864f7c139b3c6a
A.5. DHKEM(P-256, HKDF-SHA256), HKDF-SHA256, ChaCha20Poly1305
A.5.1. Base Setup Information
mode: 0
kem_id: 16
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
f1f1a3bc95416871539ecb51c3a8f0cf608afb40fbbe305c0a72819d35c33f1f
pkEm: 04c07836a0206e04e31d8ae99bfd549380b072a1b1b82e563c935c09582782
4fc1559eac6fb9e3c70cd3193968994e7fe9781aa103f5b50e934b5b2f387e381291
skEm:
7550253e1147aae48839c1f8af80d2770fb7a4c763afe7d0afa7e0f42a5b3689
ikmR:
61092f3f56994dd424405899154a9918353e3e008171517ad576b900ddb275e7
pkRm: 04a697bffde9405c992883c5c439d6cc358170b51af72812333b015621dc0f
40bad9bb726f68a5c013806a790ec716ab8669f84f6b694596c2987cf35baba2a006
skRm:
a4d1c55836aa30f9b3fbb6ac98d338c877c2867dd3a77396d13f68d3ab150d3b
enc: 04c07836a0206e04e31d8ae99bfd549380b072a1b1b82e563c935c095827824
fc1559eac6fb9e3c70cd3193968994e7fe9781aa103f5b50e934b5b2f387e381291
shared_secret:
806520f82ef0b03c823b7fc524b6b55a088f566b9751b89551c170f4113bd850
key_schedule_context: 00b738cd703db7b4106e93b4621e9a19c89c838e559642
40e5d3f331aaf8b0d58b2e986ea1c671b61cf45eec134dac0bae58ec6f63e790b140
0b47c33038b0269c
secret:
fe891101629aa355aad68eff3cc5170d057eca0c7573f6575e91f9783e1d4506
key:
a8f45490a92a3b04d1dbf6cf2c3939ad8bfc9bfcb97c04bffe116730c9dfe3fc
base_nonce: 726b4390ed2209809f58c693
exporter_secret:
4f9bd9b3a8db7d7c3a5b9d44fdc1f6e37d5d77689ade5ec44a7242016e6aa205
A.5.1.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 726b4390ed2209809f58c693
ct: 6469c41c5c81d3aa85432531ecf6460ec945bde1eb428cb2fedf7a29f5a685b4
ccb0d057f03ea2952a27bb458b
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 726b4390ed2209809f58c692
ct: f1564199f7e0e110ec9c1bcdde332177fc35c1adf6e57f8d1df24022227ffa87
16862dbda2b1dc546c9d114374
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 726b4390ed2209809f58c691
ct: 39de89728bcb774269f882af8dc5369e4f3d6322d986e872b3a8d074c7c18e85
49ff3f85b6d6592ff87c3f310c
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 726b4390ed2209809f58c697
ct: bc104a14fbede0cc79eeb826ea0476ce87b9c928c36e5e34dc9b6905d91473ec
369a08b1a25d305dd45c6c5f80
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 726b4390ed2209809f58c66c
ct: 8f2814a2c548b3be50259713c6724009e092d37789f6856553d61df23ebc0792
35f710e6af3c3ca6eaba7c7c6c
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 726b4390ed2209809f58c793
ct: b45b69d419a9be7219d8c94365b89ad6951caf4576ea4774ea40e9b7047a09d6
537d1aa2f7c12d6ae4b729b4d0
A.5.1.2. Exported Values
exporter_context:
L: 32
exported_value:
9b13c510416ac977b553bf1741018809c246a695f45eff6d3b0356dbefe1e660
exporter_context: 00
L: 32
exported_value:
6c8b7be3a20a5684edecb4253619d9051ce8583baf850e0cb53c402bdcaf8ebb
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
477a50d804c7c51941f69b8e32fe8288386ee1a84905fe4938d58972f24ac938
A.5.2. PSK Setup Information
mode: 1
kem_id: 16
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
e1a4e1d50c4bfcf890f2b4c7d6b2d2aca61368eddc3c84162df2856843e1057a
pkEm: 04f336578b72ad7932fe867cc4d2d44a718a318037a0ec271163699cee653f
a805c1fec955e562663e0c2061bb96a87d78892bff0cc0bad7906c2d998ebe1a7246
skEm:
7d6e4e006cee68af9b3fdd583a0ee8962df9d59fab029997ee3f456cbc857904
ikmR:
ee51dec304abf993ef8fd52aacdd3b539108bbf6e491943266c1de89ec596a17
pkRm: 041eb8f4f20ab72661af369ff3231a733672fa26f385ffb959fd1bae46bfda
43ad55e2d573b880831381d9367417f554ce5b2134fbba5235b44db465feffc6189e
skRm:
12ecde2c8bc2d5d7ed2219c71f27e3943d92b344174436af833337c557c300b3
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 04f336578b72ad7932fe867cc4d2d44a718a318037a0ec271163699cee653fa
805c1fec955e562663e0c2061bb96a87d78892bff0cc0bad7906c2d998ebe1a7246
shared_secret:
ac4f260dce4db6bf45435d9c92c0e11cfdd93743bd3075949975974cc2b3d79e
key_schedule_context: 01622b72afcc3795841596c67ea74400ca3b029374d7d5
640bda367c5d67b3fbeb2e986ea1c671b61cf45eec134dac0bae58ec6f63e790b140
0b47c33038b0269c
secret:
858c8087a1c056db5811e85802f375bb0c19b9983204a1575de4803575d23239
key:
6d61cb330b7771168c8619498e753f16198aad9566d1f1c6c70e2bc1a1a8b142
base_nonce: 0de7655fb65e1cd51a38864e
exporter_secret:
754ca00235b245e72d1f722a7718e7145bd113050a2aa3d89586d4cb7514bfdb
A.5.2.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 0de7655fb65e1cd51a38864e
ct: 21433eaff24d7706f3ed5b9b2e709b07230e2b11df1f2b1fe07b3c70d5948a53
d6fa5c8bed194020bd9df0877b
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 0de7655fb65e1cd51a38864f
ct: c74a764b4892072ea8c2c56b9bcd46c7f1e9ca8cb0a263f8b40c2ba59ac9c857
033f176019562218769d3e0452
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 0de7655fb65e1cd51a38864c
ct: dc8cd68863474d6e9cbb6a659335a86a54e036249d41acf909e738c847ff2bd3
6fe3fcacda4ededa7032c0a220
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 0de7655fb65e1cd51a38864a
ct: cd54a8576353b1b9df366cb0cc042e46eef6f4cf01e205fe7d47e306b2fdd90f
7185f289a26c613ca094e3be10
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 0de7655fb65e1cd51a3886b1
ct: 6324570c9d542c70c7e70570c1d8f4c52a89484746bf0625441890ededcc80c2
4ef2301c38bfd34d689d19f67d
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 0de7655fb65e1cd51a38874e
ct: 1ea6326c8098ed0437a553c466550114fb2ca1412cca7de98709b9ccdf19206e
52c3d39180e2cf62b3e9f4baf4
A.5.2.2. Exported Values
exporter_context:
L: 32
exported_value:
530bbc2f68f078dccc89cc371b4f4ade372c9472bafe4601a8432cbb934f528d
exporter_context: 00
L: 32
exported_value:
6e25075ddcc528c90ef9218f800ca3dfe1b8ff4042de5033133adb8bd54c401d
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
6f6fbd0d1c7733f796461b3235a856cc34f676fe61ed509dfc18fa16efe6be78
A.5.3. Auth Setup Information
mode: 2
kem_id: 16
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
0ecd212019008138a31f9104d5dba76b9f8e34d5b996041fff9e3df221dd0d5d
pkEm: 040d5176aedba55bc41709261e9195c5146bb62d783031280775f32e507d79
b5cbc5748b6be6359760c73cfe10ca19521af704ca6d91ff32fc0739527b9385d415
skEm:
085fd5d5e6ce6497c79df960cac93710006b76217d8bcfafbd2bb2c20ea03c42
ikmR:
d32236d8378b9563840653789eb7bc33c3c720e537391727bf1c812d0eac110f
pkRm: 0444f6ee41818d9fe0f8265bffd016b7e2dd3964d610d0f7514244a60dbb7a
11ece876bb110a97a2ac6a9542d7344bf7d2bd59345e3e75e497f7416cf38d296233
skRm:
3cb2c125b8c5a81d165a333048f5dcae29a2ab2072625adad66dbb0f48689af9
ikmS:
0e6be0851283f9327295fd49858a8c8908ea9783212945eef6c598ee0a3cedbb
pkSm: 04265529a04d4f46ab6fa3af4943774a9f1127821656a75a35fade898a9a1b
014f64d874e88cddb24c1c3d79004d3a587db67670ca357ff4fba7e8b56ec013b98b
skSm:
39b19402e742d48d319d24d68e494daa4492817342e593285944830320912519
enc: 040d5176aedba55bc41709261e9195c5146bb62d783031280775f32e507d79b
5cbc5748b6be6359760c73cfe10ca19521af704ca6d91ff32fc0739527b9385d415
shared_secret:
1a45aa4792f4b166bfee7eeab0096c1a6e497480e2261b2a59aad12f2768d469
key_schedule_context: 02b738cd703db7b4106e93b4621e9a19c89c838e559642
40e5d3f331aaf8b0d58b2e986ea1c671b61cf45eec134dac0bae58ec6f63e790b140
0b47c33038b0269c
secret:
9193210815b87a4c5496c9d73e609a6c92665b5ea0d760866294906d089ebb57
key:
cf292f8a4313280a462ce55cde05b5aa5744fe4ca89a5d81b0146a5eaca8092d
base_nonce: 7e45c21e20e869ae00492123
exporter_secret:
dba6e307f71769ba11e2c687cc19592f9d436da0c81e772d7a8a9fd28e54355f
A.5.3.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 7e45c21e20e869ae00492123
ct: 25881f219935eec5ba70d7b421f13c35005734f3e4d959680270f55d71e2f5cb
3bd2daced2770bf3d9d4916872
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 7e45c21e20e869ae00492122
ct: 653f0036e52a376f5d2dd85b3204b55455b7835c231255ae098d09ed138719b9
7185129786338ab6543f753193
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 7e45c21e20e869ae00492121
ct: 60878706117f22180c788e62df6a595bc41906096a11a9513e84f0141e43239e
81a98d7a235abc64112fcb8ddd
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 7e45c21e20e869ae00492127
ct: 0f9094dd08240b5fa7a388b824d19d5b4b1e126cebfd67a062c32f9ba9f1f386
6cc38de7df2702626e2ab65c0f
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 7e45c21e20e869ae004921dc
ct: dd29319e08135c5f8401d6537a364e92172c0e3f095f3fd18923881d11c0a683
9345dd0b54acd0edd8f8344792
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 7e45c21e20e869ae00492023
ct: e2276ec5047bc4b6ed57d6da7da2fb47a77502f0a30f17d040247c73da336d72
2bc6c89adf68396a0912c6d152
A.5.3.2. Exported Values
exporter_context:
L: 32
exported_value:
56c4d6c1d3a46c70fd8f4ecda5d27c70886e348efb51bd5edeaa39ff6ce34389
exporter_context: 00
L: 32
exported_value:
d2d3e48ed76832b6b3f28fa84be5f11f09533c0e3c71825a34fb0f1320891b51
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
eb0d312b6263995b4c7761e64b688c215ffd6043ff3bad2368c862784cbe6eff
A.5.4. AuthPSK Setup Information
mode: 3
kem_id: 16
kdf_id: 1
aead_id: 3
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
f3a07f194703e321ef1f753a1b9fe27a498dfdfa309151d70bedd896c239c499
pkEm: 043539917ee26f8ae0aa5f784a387981b13de33124a3cde88b946720301831
10f331400115855808244ff0c5b6ca6104483ac95724481d41bdcd9f15b430ad16f6
skEm:
11b7e4de2d919240616a31ab14944cced79bc2372108bb98f6792e3b645fe546
ikmR:
1240e55a0a03548d7f963ef783b6a7362cb505e6b31dfd04c81d9b294543bfbd
pkRm: 04d383fd920c42d018b9d57fd73a01f1eee480008923f67d35169478e55d2e
8817068daf62a06b10e0aad4a9e429fa7f904481be96b79a9c231a33e956c20b81b6
skRm:
c29fc577b7e74d525c0043f1c27540a1248e4f2c8d297298e99010a92e94865c
ikmS:
ce2a0387a2eb8870a3a92c34a2975f0f3f271af4384d446c7dc1524a6c6c515a
pkSm: 0492cf8c9b144b742fe5a63d9a181a19d416f3ec8705f24308ad316564823c
344e018bd7c03a33c926bb271b28ef5bf28c0ca00abff249fee5ef7f33315ff34fdb
skSm:
53541bd995f874a67f8bfd8038afa67fd68876801f42ff47d0dc2a4deea067ae
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 043539917ee26f8ae0aa5f784a387981b13de33124a3cde88b9467203018311
0f331400115855808244ff0c5b6ca6104483ac95724481d41bdcd9f15b430ad16f6
shared_secret:
87584311791036a3019bc36803cdd42e9a8931a98b13c88835f2f8a9036a4fd6
key_schedule_context: 03622b72afcc3795841596c67ea74400ca3b029374d7d5
640bda367c5d67b3fbeb2e986ea1c671b61cf45eec134dac0bae58ec6f63e790b140
0b47c33038b0269c
secret:
fe52b4412590e825ea2603fa88e145b2ee014b942a774b55fab4f081301f16f4
key:
31e140c8856941315d4067239fdc4ebe077fbf45a6fc78a61e7a6c8b3bacb10a
base_nonce: 75838a8010d2e4760254dd56
exporter_secret:
600895965755db9c5027f25f039a6e3e506c35b3b7084ce33c4a48d59ee1f0e3
A.5.4.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 75838a8010d2e4760254dd56
ct: 9eadfa0f954835e7e920ffe56dec6b31a046271cf71fdda55db72926e1d8fae9
4cc6280fcfabd8db71eaa65c05
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 75838a8010d2e4760254dd57
ct: e357ad10d75240224d4095c9f6150a2ed2179c0f878e4f2db8ca95d365d174d0
59ff8c3eb38ea9a65cfc8eaeb8
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 75838a8010d2e4760254dd54
ct: 2fa56d00f8dd479d67a2ec3308325cf3bbccaf102a64ffccdb006bd7dcb93268
5b9a7b49cdc094a85fec1da5ef
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 75838a8010d2e4760254dd52
ct: 1fe9d6db14965003ed81a39abf240f9cd7c5a454bca0d69ef9a2de16d537364f
bbf110b9ef11fa4a7a0172f0ce
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 75838a8010d2e4760254dda9
ct: eaf4041a5c9122b22d1f8d698eeffe45d64b4ae33d0ddca3a4cdf4a5f595acc9
5a1a9334d06cc4d000df6aaad6
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 75838a8010d2e4760254dc56
ct: fb857f4185ce5286c1a52431867537204963ea66a3eee8d2a74419fd8751faee
066d08277ac7880473aa4143ba
A.5.4.2. Exported Values
exporter_context:
L: 32
exported_value:
c52b4592cd33dd38b2a3613108ddda28dcf7f03d30f2a09703f758bfa8029c9a
exporter_context: 00
L: 32
exported_value:
2f03bebc577e5729e148554991787222b5c2a02b77e9b1ac380541f710e5a318
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
e01dd49e8bfc3d9216abc1be832f0418adf8b47a7b5a330a7436c31e33d765d7
A.6. DHKEM(P-521, HKDF-SHA512), HKDF-SHA512, AES-256-GCM
A.6.1. Base Setup Information
mode: 0
kem_id: 18
kdf_id: 3
aead_id: 2
info: 4f6465206f6e2061204772656369616e2055726e
ikmE: 7f06ab8215105fc46aceeb2e3dc5028b44364f960426eb0d8e4026c2f8b5d7
e7a986688f1591abf5ab753c357a5d6f0440414b4ed4ede71317772ac98d9239f709
04
pkEm: 040138b385ca16bb0d5fa0c0665fbbd7e69e3ee29f63991d3e9b5fa740aab8
900aaeed46ed73a49055758425a0ce36507c54b29cc5b85a5cee6bae0cf1c21f2731
ece2013dc3fb7c8d21654bb161b463962ca19e8c654ff24c94dd2898de12051f1ed0
692237fb02b2f8d1dc1c73e9b366b529eb436e98a996ee522aef863dd5739d2f29b0
skEm: 014784c692da35df6ecde98ee43ac425dbdd0969c0c72b42f2e708ab9d5354
15a8569bdacfcc0a114c85b8e3f26acf4d68115f8c91a66178cdbd03b7bcc5291e37
4b
ikmR: 2ad954bbe39b7122529f7dde780bff626cd97f850d0784a432784e69d86ecc
aade43b6c10a8ffdb94bf943c6da479db137914ec835a7e715e36e45e29b587bab3b
f1
pkRm: 0401b45498c1714e2dce167d3caf162e45e0642afc7ed435df7902ccae0e84
ba0f7d373f646b7738bbbdca11ed91bdeae3cdcba3301f2457be452f271fa6837580
e661012af49583a62e48d44bed350c7118c0d8dc861c238c72a2bda17f64704f464b
57338e7f40b60959480c0e58e6559b190d81663ed816e523b6b6a418f66d2451ec64
skRm: 01462680369ae375e4b3791070a7458ed527842f6a98a79ff5e0d4cbde83c2
7196a3916956655523a6a2556a7af62c5cadabe2ef9da3760bb21e005202f7b24628
47
enc: 040138b385ca16bb0d5fa0c0665fbbd7e69e3ee29f63991d3e9b5fa740aab89
00aaeed46ed73a49055758425a0ce36507c54b29cc5b85a5cee6bae0cf1c21f2731e
ce2013dc3fb7c8d21654bb161b463962ca19e8c654ff24c94dd2898de12051f1ed06
92237fb02b2f8d1dc1c73e9b366b529eb436e98a996ee522aef863dd5739d2f29b0
shared_secret: 776ab421302f6eff7d7cb5cb1adaea0cd50872c71c2d63c30c4f1
d5e43653336fef33b103c67e7a98add2d3b66e2fda95b5b2a667aa9dac7e59cc1d46
d30e818
key_schedule_context: 0083a27c5b2358ab4dae1b2f5d8f57f10ccccc822a4733
26f543f239a70aee46347324e84e02d7651a10d08fb3dda739d22d50c53fbfa8122b
aacd0f9ae5913072ef45baa1f3a4b169e141feb957e48d03f28c837d8904c3d67753
08c3d3faa75dd64adfa44e1a1141edf9349959b8f8e5291cbdc56f62b0ed6527d692
e85b09a4
secret: 49fd9f53b0f93732555b2054edfdc0e3101000d75df714b98ce5aa295a37
f1b18dfa86a1c37286d805d3ea09a20b72f93c21e83955a1f01eb7c5eead563d21e7
key:
751e346ce8f0ddb2305c8a2a85c70d5cf559c53093656be636b9406d4d7d1b70
base_nonce: 55ff7a7d739c69f44b25447b
exporter_secret: e4ff9dfbc732a2b9c75823763c5ccc954a2c0648fc6de80a585
81252d0ee3215388a4455e69086b50b87eb28c169a52f42e71de4ca61c920e7bd24c
95cc3f992
A.6.1.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 55ff7a7d739c69f44b25447b
ct: 170f8beddfe949b75ef9c387e201baf4132fa7374593dfafa90768788b7b2b20
0aafcc6d80ea4c795a7c5b841a
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 55ff7a7d739c69f44b25447a
ct: d9ee248e220ca24ac00bbbe7e221a832e4f7fa64c4fbab3945b6f3af0c5ecd5e
16815b328be4954a05fd352256
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 55ff7a7d739c69f44b254479
ct: 142cf1e02d1f58d9285f2af7dcfa44f7c3f2d15c73d460c48c6e0e506a3144ba
e35284e7e221105b61d24e1c7a
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 55ff7a7d739c69f44b25447f
ct: 3bb3a5a07100e5a12805327bf3b152df728b1c1be75a9fd2cb2bf5eac0cca1fb
80addb37eb2a32938c7268e3e5
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 55ff7a7d739c69f44b254484
ct: 4f268d0930f8d50b8fd9d0f26657ba25b5cb08b308c92e33382f369c768b558e
113ac95a4c70dd60909ad1adc7
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 55ff7a7d739c69f44b25457b
ct: dbbfc44ae037864e75f136e8b4b4123351d480e6619ae0e0ae437f036f2f8f1e
f677686323977a1ccbb4b4f16a
A.6.1.2. Exported Values
exporter_context:
L: 32
exported_value:
05e2e5bd9f0c30832b80a279ff211cc65eceb0d97001524085d609ead60d0412
exporter_context: 00
L: 32
exported_value:
fca69744bb537f5b7a1596dbf34eaa8d84bf2e3ee7f1a155d41bd3624aa92b63
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
f389beaac6fcf6c0d9376e20f97e364f0609a88f1bc76d7328e9104df8477013
A.6.2. PSK Setup Information
mode: 1
kem_id: 18
kdf_id: 3
aead_id: 2
info: 4f6465206f6e2061204772656369616e2055726e
ikmE: f3ebfa9a69a924e672114fcd9e06fa9559e937f7eccce4181a2b506df53dbe
514be12f094bb28e01de19dd345b4f7ede5ad7eaa6b9c3019592ec68eaae9a14732c
e0
pkEm: 040085eff0835cc84351f32471d32aa453cdc1f6418eaaecf1c2824210eb1d
48d0768b368110fab21407c324b8bb4bec63f042cfa4d0868d19b760eb4beba1bff7
93b30036d2c614d55730bd2a40c718f9466faf4d5f8170d22b6df98dfe0c067d02b3
49ae4a142e0c03418f0a1479ff78a3db07ae2c2e89e5840f712c174ba2118e90fdcb
skEm: 012e5cfe0daf5fe2a1cd617f4c4bae7c86f1f527b3207f115e262a98cc6526
8ec88cb8645aec73b7aa0a472d0292502d1078e762646e0c093cf873243d12c39915
f6
ikmR: a2a2458705e278e574f835effecd18232f8a4c459e7550a09d44348ae5d3b1
ea9d95c51995e657ad6f7cae659f5e186126a471c017f8f5e41da9eba74d4e0473e1
79
pkRm: 04006917e049a2be7e1482759fb067ddb94e9c4f7f5976f655088dec452466
14ff924ed3b385fc2986c0ecc39d14f907bf837d7306aada59dd5889086125ecd038
ead400603394b5d81f89ebfd556a898cc1d6a027e143d199d3db845cb91c5289fb26
c5ff80832935b0e8dd08d37c6185a6f77683347e472d1edb6daa6bd7652fea628fae
skRm: 011bafd9c7a52e3e71afbdab0d2f31b03d998a0dc875dd7555c63560e142bd
e264428de03379863b4ec6138f813fa009927dc5d15f62314c56d4e7ff2b485753eb
72
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 040085eff0835cc84351f32471d32aa453cdc1f6418eaaecf1c2824210eb1d4
8d0768b368110fab21407c324b8bb4bec63f042cfa4d0868d19b760eb4beba1bff79
3b30036d2c614d55730bd2a40c718f9466faf4d5f8170d22b6df98dfe0c067d02b34
9ae4a142e0c03418f0a1479ff78a3db07ae2c2e89e5840f712c174ba2118e90fdcb
shared_secret: 0d52de997fdaa4797720e8b1bebd3df3d03c4cf38cc8c1398168d
36c3fc7626428c9c254dd3f9274450909c64a5b3acbe45e2d850a2fd69ac0605fe5c
8a057a5
key_schedule_context: 0124497637cf18d6fbcc16e9f652f00244c981726f293b
b7819861e85e50c94f0be30e022ab081e18e6f299fd3d3d976a4bc590f85bc7711bf
ce32ee1a7fb1c154ef45baa1f3a4b169e141feb957e48d03f28c837d8904c3d67753
08c3d3faa75dd64adfa44e1a1141edf9349959b8f8e5291cbdc56f62b0ed6527d692
e85b09a4
secret: 2cf425e26f65526afc0634a3dba4e28d980c1015130ce07c2ac7530d7a39
1a75e5a0db428b09f27ad4d975b4ad1e7f85800e03ffeea35e8cf3fe67b18d4a1345
key:
f764a5a4b17e5d1ffba6e699d65560497ebaea6eb0b0d9010a6d979e298a39ff
base_nonce: 479afdf3546ddba3a9841f38
exporter_secret: 5c3d4b65a13570502b93095ef196c42c8211a4a188c4590d358
63665c705bb140ecba6ce9256be3fad35b4378d41643867454612adfd0542a684b61
799bf293f
A.6.2.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 479afdf3546ddba3a9841f38
ct: de69e9d943a5d0b70be3359a19f317bd9aca4a2ebb4332a39bcdfc97d5fe62f3
a77702f4822c3be531aa7843a1
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 479afdf3546ddba3a9841f39
ct: 77a16162831f90de350fea9152cfc685ecfa10acb4f7994f41aed43fa5431f23
82d078ec88baec53943984553e
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 479afdf3546ddba3a9841f3a
ct: f1d48d09f126b9003b4c7d3fe6779c7c92173188a2bb7465ba43d899a6398a33
3914d2bb19fd769d53f3ec7336
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 479afdf3546ddba3a9841f3c
ct: 829b11c082b0178082cd595be6d73742a4721b9ac05f8d2ef8a7704a53022d82
bd0d8571f578c5c13b99eccff8
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 479afdf3546ddba3a9841fc7
ct: a3ee291e20f37021e82df14d41f3fbe98b27c43b318a36cacd8471a3b1051ab1
2ee055b62ded95b72a63199a3f
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 479afdf3546ddba3a9841e38
ct: eecc2173ce1ac14b27ee67041e90ed50b7809926e55861a579949c07f6d26137
bf9cf0d097f60b5fd2fbf348ec
A.6.2.2. Exported Values
exporter_context:
L: 32
exported_value:
62691f0f971e34de38370bff24deb5a7d40ab628093d304be60946afcdb3a936
exporter_context: 00
L: 32
exported_value:
76083c6d1b6809da088584674327b39488eaf665f0731151128452e04ce81bff
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
0c7cfc0976e25ae7680cf909ae2de1859cd9b679610a14bec40d69b91785b2f6
A.6.3. Auth Setup Information
mode: 2
kem_id: 18
kdf_id: 3
aead_id: 2
info: 4f6465206f6e2061204772656369616e2055726e
ikmE: fe1c589c2a05893895a537f38c7cb4300b5a7e8fef3d6ccb8f07a498029c61
e90262e009dc254c7f6235f9c6b2fd6aeff0a714db131b09258c16e217b7bd2aa619
b0
pkEm: 04017de12ede7f72cb101dab36a111265c97b3654816dcd6183f809d4b3d11
1fe759497f8aefdc5dbb40d3e6d21db15bdc60f15f2a420761bcaeef73b891c2b117
e9cf01e29320b799bbc86afdc5ea97d941ea1c5bd5ebeeac7a784b3bab524746f3e6
40ec26ee1bd91255f9330d974f845084637ee0e6fe9f505c5b87c86a4e1a6c3096dd
skEm: 0185f03560de87bb2c543ef03607f3c33ac09980000de25eabe3b224312946
330d2e65d192d3b4aa46ca92fc5ca50736b624402d95f6a80dc04d1f10ae95171372
61
ikmR: 8feea0438481fc0ecd470d6adfcda334a759c6b8650452c5a5dd9b2dd2cc9b
e33d2bb7ee64605fc07ab4664a58bb9a8de80defe510b6c97d2daf85b92cd4bb0a66
bf
pkRm: 04007d419b8834e7513d0e7cc66424a136ec5e11395ab353da324e3586673e
e73d53ab34f30a0b42a92d054d0db321b80f6217e655e304f72793767c4231785c4a
4a6e008f31b93b7a4f2b8cd12e5fe5a0523dc71353c66cbdad51c86b9e0bdfcd9a45
698f2dab1809ab1b0f88f54227232c858accc44d9a8d41775ac026341564a2d749f4
skRm: 013ef326940998544a899e15e1726548ff43bbdb23a8587aa3bef9d1b85733
8d87287df5667037b519d6a14661e9503cfc95a154d93566d8c84e95ce93ad05293a
0b
ikmS: 2f66a68b85ef04822b054ef521838c00c64f8b6226935593b69e13a1a2461a
4f1a74c10c836e87eed150c0db85d4e4f506cbb746149befac6f5c07dc48a615ef92
db
pkSm: 04015cc3636632ea9a3879e43240beae5d15a44fba819282fac26a19c989fa
fdd0f330b8521dff7dc393101b018c1e65b07be9f5fc9a28a1f450d6a541ee0d7622
1133001e8f0f6a05ab79f9b9bb9ccce142a453d59c5abebb5674839d935a3ca1a3fb
c328539a60b3bc3c05fed22838584a726b9c176796cad0169ba4093332cbd2dc3a9f
skSm: 001018584599625ff9953b9305849850d5e34bd789d4b81101139662fbea8b
6508ddb9d019b0d692e737f66beae3f1f783e744202aaf6fea01506c27287e359fe7
76
enc: 04017de12ede7f72cb101dab36a111265c97b3654816dcd6183f809d4b3d111
fe759497f8aefdc5dbb40d3e6d21db15bdc60f15f2a420761bcaeef73b891c2b117e
9cf01e29320b799bbc86afdc5ea97d941ea1c5bd5ebeeac7a784b3bab524746f3e64
0ec26ee1bd91255f9330d974f845084637ee0e6fe9f505c5b87c86a4e1a6c3096dd
shared_secret: 26648fa2a2deb0bfc56349a590fd4cb7108a51797b634694fc020
61e8d91b3576ac736a68bf848fe2a58dfb1956d266e68209a4d631e513badf8f4dcf
c00f30a
key_schedule_context: 0283a27c5b2358ab4dae1b2f5d8f57f10ccccc822a4733
26f543f239a70aee46347324e84e02d7651a10d08fb3dda739d22d50c53fbfa8122b
aacd0f9ae5913072ef45baa1f3a4b169e141feb957e48d03f28c837d8904c3d67753
08c3d3faa75dd64adfa44e1a1141edf9349959b8f8e5291cbdc56f62b0ed6527d692
e85b09a4
secret: 56b7acb7355d080922d2ddc227829c2276a0b456087654b3ac4b53828bd3
4af8cf54626f85af858a15a86eba73011665cc922bc59fd07d2975f356d2674db554
key:
01fced239845e53f0ec616e71777883a1f9fcab22a50f701bdeee17ad040e44d
base_nonce: 9752b85fe8c73eda183f9e80
exporter_secret: 80466a9d9cc5112ddad297e817e038801e15fa18152bc4dc010
a35d7f534089c87c98b4bacd7bbc6276c4002a74085adcd9019fca6139826b529256
9cfb7fe47
A.6.3.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: 9752b85fe8c73eda183f9e80
ct: 0116aeb3a1c405c61b1ce47600b7ecd11d89b9c08c408b7e2d1e00a4d64696d1
2e6881dc61688209a8207427f9
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: 9752b85fe8c73eda183f9e81
ct: 37ece0cf6741f443e9d73b9966dc0b228499bb21fbf313948327231e70a18380
e080529c0267f399ba7c539cc6
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: 9752b85fe8c73eda183f9e82
ct: d17b045cac963e45d55fd3692ec17f100df66ac06d91f3b6af8efa7ed3c88955
50eb753bc801fe4bd27005b4bd
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: 9752b85fe8c73eda183f9e84
ct: 50c523ae7c64cada96abea16ddf67a73d2914ec86a4cedb31a7e6257f7553ed2
44626ef79a57198192b2323384
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: 9752b85fe8c73eda183f9e7f
ct: 53d422295a6ce8fcc51e6f69e252e7195e64abf49252f347d8c25534f1865a6a
17d949c65ce618ddc7d816111f
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: 9752b85fe8c73eda183f9f80
ct: 0dfcfc22ea768880b4160fec27ab10c75fb27766c6bb97aed373a9b6eae35d31
afb08257401075cbb602ac5abb
A.6.3.2. Exported Values
exporter_context:
L: 32
exported_value:
8d78748d632f95b8ce0c67d70f4ad1757e61e872b5941e146986804b3990154b
exporter_context: 00
L: 32
exported_value:
80a4753230900ea785b6c80775092801fe91183746479f9b04c305e1db9d1f4d
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
620b176d737cf366bcc20d96adb54ec156978220879b67923689e6dca36210ed
A.6.4. AuthPSK Setup Information
mode: 3
kem_id: 18
kdf_id: 3
aead_id: 2
info: 4f6465206f6e2061204772656369616e2055726e
ikmE: 54272797b1fbc128a6967ff1fd606e0c67868f7762ce1421439cbc9e90ce1b
28d566e6c2acbce712e48eebf236696eb680849d6873e9959395b2931975d61d38bd
6c
pkEm: 04000a5096a6e6e002c83517b494bfc2e36bfb8632fae8068362852b70d0ff
71e560b15aff96741ecffb63d8ac3090c3769679009ac59a99a1feb4713c5f090fc0
dbed01ad73c45d29d369e36744e9ed37d12f80700c16d816485655169a5dd66e4ddf
27f2acffe0f56f7f77ea2b473b4bf0518b975d9527009a3d14e5a4957e3e8a9074f8
skEm: 003430af19716084efeced1241bb1a5625b6c826f11ef31649095eb2795261
9e36f62a79ea28001ac452fb20ddfbb66e62c6c0b1be03c0d28c97794a1fb638207a
83
ikmR: 3db434a8bc25b27eb0c590dc64997ab1378a99f52b2cb5a5a5b2fa540888f6
c0f09794c654f4468524e040e6b4eca2c9dcf229f908b9d318f960cc9e9baa92c5ee
e6
pkRm: 0401655b5d3b7cfafaba30851d25edc44c6dd17d99410efbed8591303b4dbe
ea8cb1045d5255f9a60384c3bbd4a3386ae6e6fab341dc1f8db0eed5f0ab1aaac6d7
838e00dadf8a1c2c64b48f89c633721e88369e54104b31368f26e35d04a442b0b428
510fb23caada686add16492f333b0f7ba74c391d779b788df2c38d7a7f4778009d91
skRm: 0053c0bc8c1db4e9e5c3e3158bfdd7fc716aef12db13c8515adf821dd692ba
3ca53041029128ee19c8556e345c4bcb840bb7fd789f97fe10f17f0e2c6c25280728
43
ikmS: 65d523d9b37e1273eb25ad0527d3a7bd33f67208dd1666d9904c6bc04969ae
5831a8b849e7ff642581f2c3e56be84609600d3c6bbdaded3f6989c37d2892b1e978
d5
pkSm: 040013761e97007293d57de70962876b4926f69a52680b4714bee1d4236aa9
6c19b840c57e80b14e91258f0a350e3f7ba59f3f091633aede4c7ec4fa8918323aa4
5d5901076dec8eeb22899fda9ab9e1960003ff0535f53c02c40f2ae4cdc6070a3870
b85b4bdd0bb77f1f889e7ee51f465a308f08c666ad3407f75dc046b2ff5a24dbe2ed
skSm: 003f64675fc8914ec9e2b3ecf13585b26dbaf3d5d805042ba487a5070b8c5a
c1d39b17e2161771cc1b4d0a3ba6e866f4ea4808684b56af2a49b5e5111146d45d93
26
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc: 04000a5096a6e6e002c83517b494bfc2e36bfb8632fae8068362852b70d0ff7
1e560b15aff96741ecffb63d8ac3090c3769679009ac59a99a1feb4713c5f090fc0d
bed01ad73c45d29d369e36744e9ed37d12f80700c16d816485655169a5dd66e4ddf2
7f2acffe0f56f7f77ea2b473b4bf0518b975d9527009a3d14e5a4957e3e8a9074f8
shared_secret: 9e1d5f62cb38229f57f68948a0fbc1264499910cce50ec62cb241
88c5b0a98868f3c1cfa8c5baa97b3f24db3cdd30df6e04eae83dc4347be8a981066c
3b5b945
key_schedule_context: 0324497637cf18d6fbcc16e9f652f00244c981726f293b
b7819861e85e50c94f0be30e022ab081e18e6f299fd3d3d976a4bc590f85bc7711bf
ce32ee1a7fb1c154ef45baa1f3a4b169e141feb957e48d03f28c837d8904c3d67753
08c3d3faa75dd64adfa44e1a1141edf9349959b8f8e5291cbdc56f62b0ed6527d692
e85b09a4
secret: 50a57775958037a04098e0054576cd3bc084d0d08d29548ba4befa5676b9
1eb4dcd0752813a052c9a930d0aba6ca10b89dd690b64032dc635dece35d1bf4645c
key:
1316ed34bd52374854ed0e5cb0394ca0a79b2d8ce7f15d5104f21acdfb594286
base_nonce: d9c64ec8deb8a0647fafe8ff
exporter_secret: 6cb00ff99aebb2e4a05042ce0d048326dd2c03acd61a601b103
8a65398406a96ab8b5da3187412b2324089ea16ba4ff7e6f4fe55d281fc8ae5f2049
032b69ebd
A.6.4.1. Encryptions
sequence number: 0
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d30
nonce: d9c64ec8deb8a0647fafe8ff
ct: 942a2a92e0817cf032ce61abccf4f3a7c5d21b794ed943227e07b7df2d6dd92c
9b8a9371949e65cca262448ab7
sequence number: 1
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d31
nonce: d9c64ec8deb8a0647fafe8fe
ct: c0a83b5ec3d7933a090f681717290337b4fede5bfaa0a40ec29f93acad742888
a1513c649104c391c78d1d7f29
sequence number: 2
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d32
nonce: d9c64ec8deb8a0647fafe8fd
ct: 2847b2e0ce0b9da8fca7b0e81ff389d1682ee1b388ed09579b145058b5af6a93
a85dd50d9f417dc88f2c785312
sequence number: 4
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d34
nonce: d9c64ec8deb8a0647fafe8fb
ct: fbd9948ab9ac4a9cb9e295c07273600e6a111a3a89241d3e2178f39d532a2ec5
c15b9b0c6937ac84c88e0ca76f
sequence number: 255
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323535
nonce: d9c64ec8deb8a0647fafe800
ct: 63113a870131b567db8f39a11b4541eafbd2d3cf3a9bf9e5c1cfcb41e52f9027
310b82a4868215959131694d15
sequence number: 256
pt: 4265617574792069732074727574682c20747275746820626561757479
aad: 436f756e742d323536
nonce: d9c64ec8deb8a0647fafe9ff
ct: 24f9d8dadd2107376ccd143f70f9bafcd2b21d8117d45ff327e9a78f603a3260
6e42a6a8bdb57a852591d20907
A.6.4.2. Exported Values
exporter_context:
L: 32
exported_value:
a39502ef5ca116aa1317bd9583dd52f15b0502b71d900fc8a622d19623d0cb5d
exporter_context: 00
L: 32
exported_value:
749eda112c4cfdd6671d84595f12cd13198fc3ef93ed72369178f344fe6e09c3
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
f8b4e72cefbff4ca6c4eabb8c0383287082cfcbb953d900aed4959afd0017095
A.7. DHKEM(X25519, HKDF-SHA256), HKDF-SHA256, Export-Only AEAD
A.7.1. Base Setup Information
mode: 0
kem_id: 32
kdf_id: 1
aead_id: 65535
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
55bc245ee4efda25d38f2d54d5bb6665291b99f8108a8c4b686c2b14893ea5d9
pkEm:
e5e8f9bfff6c2f29791fc351d2c25ce1299aa5eaca78a757c0b4fb4bcd830918
skEm:
095182b502f1f91f63ba584c7c3ec473d617b8b4c2cec3fad5af7fa6748165ed
ikmR:
683ae0da1d22181e74ed2e503ebf82840deb1d5e872cade20f4b458d99783e31
pkRm:
194141ca6c3c3beb4792cd97ba0ea1faff09d98435012345766ee33aae2d7664
skRm:
33d196c830a12f9ac65d6e565a590d80f04ee9b19c83c87f2c170d972a812848
enc:
e5e8f9bfff6c2f29791fc351d2c25ce1299aa5eaca78a757c0b4fb4bcd830918
shared_secret:
e81716ce8f73141d4f25ee9098efc968c91e5b8ce52ffff59d64039e82918b66
key_schedule_context: 009bd09219212a8cf27c6bb5d54998c5240793a70ca0a8
92234bd5e082bc619b6a3f4c22aa6d9a0424c2b4292fdf43b8257df93c2f6adbf6dd
c9c64fee26bdd292
secret:
04d64e0620aa047e9ab833b0ebcd4ff026cefbe44338fd7d1a93548102ee01af
key:
base_nonce:
exporter_secret:
79dc8e0509cf4a3364ca027e5a0138235281611ca910e435e8ed58167c72f79b
A.7.1.1. Exported Values
exporter_context:
L: 32
exported_value:
7a36221bd56d50fb51ee65edfd98d06a23c4dc87085aa5866cb7087244bd2a36
exporter_context: 00
L: 32
exported_value:
d5535b87099c6c3ce80dc112a2671c6ec8e811a2f284f948cec6dd1708ee33f0
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
ffaabc85a776136ca0c378e5d084c9140ab552b78f039d2e8775f26efff4c70e
A.7.2. PSK Setup Information
mode: 1
kem_id: 32
kdf_id: 1
aead_id: 65535
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
c51211a8799f6b8a0021fcba673d9c4067a98ebc6794232e5b06cb9febcbbdf5
pkEm:
d3805a97cbcd5f08babd21221d3e6b362a700572d14f9bbeb94ec078d051ae3d
skEm:
1d72396121a6a826549776ef1a9d2f3a2907fc6a38902fa4e401afdb0392e627
ikmR:
5e0516b1b29c0e13386529da16525210c796f7d647c37eac118023a6aa9eb89a
pkRm:
d53af36ea5f58f8868bb4a1333ed4cc47e7a63b0040eb54c77b9c8ec456da824
skRm:
98f304d4ecb312689690b113973c61ffe0aa7c13f2fbe365e48f3ed09e5a6a0c
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc:
d3805a97cbcd5f08babd21221d3e6b362a700572d14f9bbeb94ec078d051ae3d
shared_secret:
024573db58c887decb4c57b6ed39f2c9a09c85600a8a0ecb11cac24c6aaec195
key_schedule_context: 01446fb1fe2632a0a338f0a85ed1f3a0ac475bdea2cd72
f8c713b3a46ee737379a3f4c22aa6d9a0424c2b4292fdf43b8257df93c2f6adbf6dd
c9c64fee26bdd292
secret:
638b94532e0d0bf812cf294f36b97a5bdcb0299df36e22b7bb6858e3c113080b
key:
base_nonce:
exporter_secret:
04261818aeae99d6aba5101bd35ddf3271d909a756adcef0d41389d9ed9ab153
A.7.2.1. Exported Values
exporter_context:
L: 32
exported_value:
be6c76955334376aa23e936be013ba8bbae90ae74ed995c1c6157e6f08dd5316
exporter_context: 00
L: 32
exported_value:
1721ed2aa852f84d44ad020c2e2be4e2e6375098bf48775a533505fd56a3f416
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
7c9d79876a288507b81a5a52365a7d39cc0fa3f07e34172984f96fec07c44cba
A.7.3. Auth Setup Information
mode: 2
kem_id: 32
kdf_id: 1
aead_id: 65535
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
43b078912a54b591a7b09b16ce89a1955a9dd60b29fb611e044260046e8b061b
pkEm:
5ac1671a55c5c3875a8afe74664aa8bc68830be9ded0c5f633cd96400e8b5c05
skEm:
83d3f217071bbf600ba6f081f6e4005d27b97c8001f55cb5ff6ea3bbea1d9295
ikmR:
fc9407ae72ed614901ebf44257fb540f617284b5361cfecd620bafc4aba36f73
pkRm:
ffd7ac24694cb17939d95feb7c4c6539bb31621deb9b96d715a64abdd9d14b10
skRm:
ed88cda0e91ca5da64b6ad7fc34a10f096fa92f0b9ceff9d2c55124304ed8b4a
ikmS:
2ff4c37a17b2e54046a076bf5fea9c3d59250d54d0dc8572bc5f7c046307040c
pkSm:
89eb1feae431159a5250c5186f72a15962c8d0debd20a8389d8b6e4996e14306
skSm:
c85f136e06d72d28314f0e34b10aadc8d297e9d71d45a5662c2b7c3b9f9f9405
enc:
5ac1671a55c5c3875a8afe74664aa8bc68830be9ded0c5f633cd96400e8b5c05
shared_secret:
e204156fd17fd65b132d53a0558cd67b7c0d7095ee494b00f47d686eb78f8fb3
key_schedule_context: 029bd09219212a8cf27c6bb5d54998c5240793a70ca0a8
92234bd5e082bc619b6a3f4c22aa6d9a0424c2b4292fdf43b8257df93c2f6adbf6dd
c9c64fee26bdd292
secret:
355e7ef17f438db43152b7fb45a0e2f49a8bf8956d5dddfec1758c0f0eb1b5d5
key:
base_nonce:
exporter_secret:
276d87e5cb0655c7d3dad95e76e6fc02746739eb9d968955ccf8a6346c97509e
A.7.3.1. Exported Values
exporter_context:
L: 32
exported_value:
83c1bac00a45ed4cb6bd8a6007d2ce4ec501f55e485c5642bd01bf6b6d7d6f0a
exporter_context: 00
L: 32
exported_value:
08a1d1ad2af3ef5bc40232a64f920650eb9b1034fac3892f729f7949621bf06e
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
ff3b0e37a9954247fea53f251b799e2edd35aac7152c5795751a3da424feca73
A.7.4. AuthPSK Setup Information
mode: 3
kem_id: 32
kdf_id: 1
aead_id: 65535
info: 4f6465206f6e2061204772656369616e2055726e
ikmE:
94efae91e96811a3a49fd1b20eb0344d68ead6ac01922c2360779aa172487f40
pkEm:
81cbf4bd7eee97dd0b600252a1c964ea186846252abb340be47087cc78f3d87c
skEm:
a2b43f5c67d0d560ee04de0122c765ea5165e328410844db97f74595761bbb81
ikmR:
4dfde6fadfe5cb50fced4034e84e6d3a104aa4bf2971360032c1c0580e286663
pkRm:
f47cd9d6993d2e2234eb122b425accfb486ee80f89607b087094e9f413253c2d
skRm:
c4962a7f97d773a47bdf40db4b01dc6a56797c9e0deaab45f4ea3aa9b1d72904
ikmS:
26c12fef8d71d13bbbf08ce8157a283d5e67ecf0f345366b0e90341911110f1b
pkSm:
29a5bf3867a6128bbdf8e070abe7fe70ca5e07b629eba5819af73810ee20112f
skSm:
6175b2830c5743dff5b7568a7e20edb1fe477fb0487ca21d6433365be90234d0
psk:
0247fd33b913760fa1fa51e1892d9f307fbe65eb171e8132c2af18555a738b82
psk_id: 456e6e796e20447572696e206172616e204d6f726961
enc:
81cbf4bd7eee97dd0b600252a1c964ea186846252abb340be47087cc78f3d87c
shared_secret:
d69246bcd767e579b1eec80956d7e7dfbd2902dad920556f0de69bd54054a2d1
key_schedule_context: 03446fb1fe2632a0a338f0a85ed1f3a0ac475bdea2cd72
f8c713b3a46ee737379a3f4c22aa6d9a0424c2b4292fdf43b8257df93c2f6adbf6dd
c9c64fee26bdd292
secret:
c15c5bec374f2087c241d3533c6ec48e1c60a21dd00085619b2ffdd84a7918c3
key:
base_nonce:
exporter_secret:
695b1faa479c0e0518b6414c3b46e8ef5caea04c0a192246843765ae6a8a78e0
A.7.4.1. Exported Values
exporter_context:
L: 32
exported_value:
dafd8beb94c5802535c22ff4c1af8946c98df2c417e187c6ccafe45335810b58
exporter_context: 00
L: 32
exported_value:
7346bb0b56caf457bcc1aa63c1b97d9834644bdacac8f72dbbe3463e4e46b0dd
exporter_context: 54657374436f6e74657874
L: 32
exported_value:
84f3466bd5a03bde6444324e63d7560e7ac790da4e5bbab01e7c4d575728c34a
Acknowledgements
The authors would like to thank Joel Alwen, Jean-Philippe Aumasson,
David Benjamin, Benjamin Beurdouche, Bruno Blanchet, Frank Denis,
Stephen Farrell, Scott Fluhrer, Eduard Hauck, Scott Hollenbeck, Kevin
Jacobs, Burt Kaliski, Eike Kiltz, Julia Len, John Mattsson,
Christopher Patton, Doreen Riepel, Raphael Robert, Michael Rosenberg,
Michael Scott, Martin Thomson, Steven Valdez, Riad Wahby, and other
contributors in the CFRG for helpful feedback that greatly improved
this document.
Authors' Addresses
Richard L. Barnes
Cisco
Email:
[email protected]
Karthik Bhargavan
Inria
Email:
[email protected]
Benjamin Lipp
Inria
Email:
[email protected]
Christopher A. Wood
Cloudflare
Email:
[email protected]
