Internet-Draft NIST Brainpool PQC in OpenPGP September 2026
Dang, et al. Expires 28 March 2027 [Page]
Workgroup:
Network Working Group
Internet-Draft:
draft-ietf-openpgp-nist-bp-comp-05
Published:
Intended Status:
Informational
Expires:
Authors:
Q. Dang
NIST
S. Ehlen
BSI
S. Kousidis
BSI
J. Roth
MTG AG
F. Strenzke
MTG AG

PQ/T Composite Schemes for OpenPGP using NIST and Brainpool Elliptic Curve Domain Parameters

Abstract

This document defines PQ/T ("post-quantum/traditional") composite schemes based on ML-KEM and ML-DSA combined with ECDH and ECDSA algorithms using the NIST and Brainpool domain parameters for the OpenPGP protocol [RFC9580], and as such extends [RFC9980].

About This Document

This note is to be removed before publishing as an RFC.

Status information for this document may be found at https://datatracker.ietf.org/doc/draft-ietf-openpgp-nist-bp-comp/.

Discussion of this document takes place on the WG Working Group mailing list (mailto:openpgp@ietf.org), which is archived at https://mailarchive.ietf.org/arch/browse/openpgp/. Subscribe at https://www.ietf.org/mailman/listinfo/openpgp/.

Source for this draft and an issue tracker can be found at https://github.com/openpgp-pqc/draft-ietf-openpgp-nist-bp-comp.

Status of This Memo

This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79.

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This Internet-Draft will expire on 28 March 2027.

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Table of Contents

1. Introduction

This document defines PQ/T composite schemes based on ML-KEM and ML-DSA combined with ECDH and ECDSA using the NIST and Brainpool domain parameters for the OpenPGP protocol [RFC9580]. It is an extension of [RFC9980], which introduces post-quantum cryptography in OpenPGP using hybrid KEMs and digital signatures combining ML-KEM and ML-DSA with ECC algorithms based on the Edwards Curves defined in [RFC7748] and [RFC8032].

Due to their long-standing and wide deployment, there are well-tested, secure, and efficient implementations of ECDSA and ECDH with NIST-curves [SP800-186]. The same applies to Brainpool curves [RFC5639] which are recommended or required in certain regulatory domains, for instance in Germany [TR-03111]. The purpose of this document is to support users who would like to or have to use such hybrid KEMs and/or signatures with OpenPGP.

1.1. Conventions used in this Document

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.

In wire format descriptions, the operator "||" is used to indicate concatenation of groups of octets.

1.1.1. Terminology for Multi-Algorithm Schemes

The terminology in this document is oriented towards the definitions in [RFC9794]. Specifically, the terms "multi-algorithm", "composite" and "non-composite" are used in correspondence with the definitions therein. The abbreviation "PQ" is used for post-quantum schemes. To denote the combination of post-quantum and traditional schemes, the abbreviation "PQ/T" is used.

1.2. Post-Quantum Cryptography

This section describes the individual post-quantum cryptographic schemes. All schemes listed here are designed to provide security in the presence of a cryptographically relevant quantum computer.

1.2.1. ML-KEM

ML-KEM [FIPS-203] is based on the hardness of solving the Learning with Errors problem in module lattices (MLWE). The scheme is believed to provide security against cryptanalytic attacks based on classical as well as quantum algorithms. This specification defines ML-KEM only in composite combination with ECDH encryption schemes in order to provide a pre-quantum security fallback.

1.2.2. ML-DSA

ML-DSA [FIPS-204] is a signature scheme that, like ML-KEM, is based on the hardness of solving the Learning With Errors problem and a variant of the Short Integer Solution problem in module lattices (MLWE and SelfTargetMSIS). Accordingly, this specification only defines ML-DSA in composite combination with ECDSA signature schemes.

1.3. Elliptic Curve Cryptography

The ECDH encryption is defined here as a KEM.

All elliptic curves for the use in the composite combinations are taken from [RFC9580].

For interoperability this extension offers ML-* in composite combinations with the NIST curves P-384, P-521 defined in [SP800-186] and the Brainpool curves brainpoolP384r1, brainpoolP512r1 defined in [RFC5639].

1.4. Applicable Specifications for the use of PQC Algorithms in OpenPGP

This document is to be understood as an extension of [RFC9980], which introduced PQC in OpenPGP, in that it defines further algorithm code points. All general specifications in [RFC9980] that pertain to the ML-KEM and ML-DSA composite schemes or generally cryptographic schemes defined therein equally apply to the schemes specified in this document.

2. Preliminaries

This section provides some preliminaries for the definitions in the subsequent sections.

2.1. Elliptic curves

2.1.1. SEC1 EC Point Wire Format

Elliptic curve points of the generic prime curves are encoded using the SEC1 (uncompressed) format as the following octet string:

B = 04 || X || Y

where X and Y are coordinates of the elliptic curve point P = (X, Y), and each coordinate is encoded in the big-endian format and zero-padded to the adjusted underlying field size. The adjusted underlying field size is the underlying field size rounded up to the nearest 8-bit boundary, as noted in the "Field size" row in Table 3, Table 4, or Table 7. This encoding is compatible with the definition given in [SEC1].

2.1.2. Measures to Ensure Secure Implementations

In the following, measures are described that ensure secure implementations according to existing best practices and standards defining the operations of Elliptic Curve Cryptography.

Even though the point at infinity, also referred to as the zero point, may occur as a result of arithmetic operations on points of an elliptic curve, it MUST NOT appear in any ECC data structure defined in this document. An implementation MAY signal an error if this condition is encountered.

Furthermore, when performing the explicitly listed operations in Section 5.1.1.1 it is REQUIRED to follow the specification and security advisory mandated by the respective elliptic curve specification. Specifically, this means that before performing the operations ECDH-KEM.Encaps() and ECDH-KEM.Decaps() defined in Section 5.1.1.1, an implementation MUST perform full public key validation, as defined in Section 5.6.2.3.3 of [SP800-56A], on the received EC point that is input to the operation, that is, on the recipient's public key ecdhPublicKey in the case of encapsulation, and on the ephemeral public key ecdhCipherText in the case of decapsulation. That is, the implementation MUST verify that the point is not the point at infinity, that both of its coordinates are elements of the underlying field, and that the point satisfies the curve equation. If the validation fails, the operation MUST be aborted with an error.

3. Supported Public Key Algorithms

This section specifies the composite ML-KEM + ECDH and ML-DSA + ECDSA schemes. All of these schemes are fully specified via their algorithm ID, that is, they are not parametrized.

3.1. Algorithm Specifications

For encryption, the following composite KEM schemes are specified:

Table 1: KEM algorithm specifications
ID Algorithm Requirement Definition
37 ML-KEM-768+ECDH-NIST-P-384 MAY Section 5.2
38 ML-KEM-1024+ECDH-NIST-P-521 MAY Section 5.2
39 ML-KEM-768+ECDH-brainpoolP384r1 MAY Section 5.2
40 ML-KEM-1024+ECDH-brainpoolP512r1 MAY Section 5.2

For signatures, the following composite signature schemes are specified:

Table 2: Signature algorithm specifications
ID Algorithm Requirement Definition
41 ML-DSA-65+ECDSA-NIST-P-384 MAY Section 6.2
42 ML-DSA-87+ECDSA-NIST-P-521 MAY Section 6.2
43 ML-DSA-65+ECDSA-brainpoolP384r1 MAY Section 6.2
44 ML-DSA-87+ECDSA-brainpoolP512r1 MAY Section 6.2

An implementation MAY implement any of the listed algorithms.

4. Algorithm Combinations

4.1. Composite KEMs

The ML-KEM + ECDH public key encryption involves both the ML-KEM and an ECDH KEM in a non-separable manner. This is achieved via KEM combination, that is, both key encapsulations/decapsulations are performed in parallel, and the resulting key shares are fed into a key combiner to produce a single shared secret for message encryption.

As explained in Section 1.4.2 of [RFC9980], the OpenPGP protocol inherently supports parallel encryption to different keys. Note that the confidentiality of a message is not post-quantum secure when encrypting to different keys unless all keys support PQ or PQ/T encryption schemes.

4.2. Composite Signatures

The ML-DSA + ECDSA signature consists of independent ML-DSA and ECDSA signatures, and an implementation MUST successfully validate both signatures to state that the ML-DSA + ECDSA signature is valid.

4.3. Key Version Binding

All PQ/T asymmetric algorithms defined in this document are to be used only in v6 (and newer) keys and certificates.

5. Composite KEM Schemes

5.1. Building Blocks

5.1.1. ECDH KEM

In this section the encryption, decryption, and data formats for the ECDH component of the composite algorithms are defined.

Table 3 and Table 4 describe the ECDH KEM parameters and artifact lengths.

Table 3: NIST curves parameters and artifact lengths
  NIST P-384 NIST P-521
Algorithm ID reference 37 38
Field size 48 octets 66 octets
ECDH KEM ECDH-KEM Section 5.1.1.1 ECDH-KEM Section 5.1.1.1
ECDH public key 97 octets of SEC1-encoded public point 133 octets of SEC1-encoded public point
ECDH secret key 48 octets big-endian encoded secret scalar 66 octets big-endian encoded secret scalar
ECDH ephemeral 97 octets of SEC1-encoded ephemeral point 133 octets of SEC1-encoded ephemeral point
ECDH key share 48 octets 66 octets
Table 4: Brainpool curves parameters and artifact lengths
  brainpoolP384r1 brainpoolP512r1
Algorithm ID reference 39 40
Field size 48 octets 64 octets
ECDH KEM ECDH-KEM Section 5.1.1.1 ECDH-KEM Section 5.1.1.1
ECDH public key 97 octets of SEC1-encoded public point 129 octets of SEC1-encoded public point
ECDH secret key 48 octets big-endian encoded secret scalar 64 octets big-endian encoded secret scalar
ECDH ephemeral 97 octets of SEC1-encoded ephemeral point 129 octets of SEC1-encoded ephemeral point
ECDH key share 48 octets 64 octets

The SEC1 format for point encoding is defined in Section 2.1.1.

The various procedures to perform the operations of an ECDH KEM are defined in the following subsections. Specifically, each of these subsections defines the instances of the following operations:

(ecdhCipherText, ecdhKeyShare) <- ECDH-KEM.Encaps(ecdhPublicKey)

and

(ecdhKeyShare) <- ECDH-KEM.Decaps(ecdhCipherText, ecdhSecretKey)

To instantiate ECDH-KEM, one must select a parameter set from Table 3 or Table 4.

5.1.1.1. ECDH-KEM

The operation ECDH-KEM.Encaps() is defined as follows:

  1. Generate an ephemeral key pair {v, V=vG} as defined in Appendix A of [FIPS-186-5] where v is a random scalar with 0 < v < n, n being the base point order of the elliptic curve domain parameters

  2. Compute the shared point S = vR, where R is the recipient's public key ecdhPublicKey, according to [SP800-186] or [RFC5639]

  3. Extract the X coordinate from the SEC1 encoded point S = 04 || X || Y as defined in section Section 2.1.1

  4. Set the output ecdhCipherText to the SEC1 encoding of V

  5. Set the output ecdhKeyShare to X

The operation ECDH-KEM.Decaps() is defined as follows:

  1. Compute the shared Point S as rV, where r is the ecdhSecretKey and V is the ecdhCipherText, according to [SP800-186] or [RFC5639]

  2. Extract the X coordinate from the SEC1 encoded point S = 04 || X || Y as defined in section Section 2.1.1

  3. Set the output ecdhKeyShare to X

For both of the above operations, elliptic curve point validation as specified in Section 2.1.2 has to be realised.

5.1.2. ML-KEM

ML-KEM features the following operations:

(mlkemCipherText, mlkemKeyShare) <- ML-KEM.Encaps(mlkemPublicKey)

and

(mlkemKeyShare) <- ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)

The above are the operations ML-KEM.Encaps and ML-KEM.Decaps defined in [FIPS-203]. Note that mlkemPublicKey is the encapsulation and mlkemSecretKey is the decapsulation key.

ML-KEM has the parametrization with the corresponding artifact lengths in octets as given in Table 5. All artifacts are encoded as defined in [FIPS-203].

Table 5: ML-KEM parameters and artifact lengths
  ML-KEM-768 ML-KEM-1024
Algorithm ID reference 37, 39 38, 40
Public (encapsulation) key 1184 octets 1568 octets
Secret (decapsulation) key 64 octets 64 octets
Ciphertext 1088 octets 1568 octets
Key share (shared secret key) 32 octets 32 octets

To instantiate ML-KEM, one must select a parameter set from the respective column of Table 5.

5.2. Composite Encryption Schemes with ML-KEM

Table 1 specifies the following ML-KEM + ECDH composite public key encryption schemes:

Table 6: ML-KEM + ECDH composite schemes
Algorithm ID reference ML-KEM ECDH-KEM curve
37 ML-KEM-768 NIST P-384
38 ML-KEM-1024 NIST P-521
39 ML-KEM-768 brainpoolP384r1
40 ML-KEM-1024 brainpoolP512r1

The ML-KEM + ECDH composite public key encryption schemes are built according to the following principal design:

  • The ML-KEM encapsulation algorithm is invoked to create an ML-KEM ciphertext together with an ML-KEM symmetric key share.

  • The encapsulation algorithm of an ECDH KEM is invoked to create an ECDH ciphertext together with an ECDH symmetric key share.

  • A Key Encryption Key (KEK) is computed as the output of a key combiner that receives as input both of the above created symmetric key shares, the ECDH ciphertext, the ECDH public key, and the protocol binding information.

  • The session key for content encryption, generated as specified in [RFC9580], is then wrapped as described in [RFC3394] using AES-256 as algorithm and the KEK as key.

  • The Public Key Encrypted Session Key (PKESK) packet's algorithm-specific parts are made up of the ML-KEM ciphertext, the ECDH ciphertext, and the wrapped session key.

5.2.1. Key Combiner

For the composite KEM schemes defined in this document the procedure multiKeyCombine that is defined in Section 4.2.1 of [RFC9980] MUST be used to compute the KEK that wraps a session key.

5.2.2. Key Generation Procedure

The implementation MUST generate the ML-KEM and the ECDH component keys independently. ML-KEM key generation follows the specification in [FIPS-203], and the artifacts are encoded as fixed-length octet strings whose sizes are listed in Table 5. ECDH key generation follows the specification in Appendix A of [FIPS-186-5], and the artifacts are encoded as fixed-length octet strings whose sizes and format are listed in Table 3 or Table 4.

5.2.3. Encryption Procedure

The procedure to perform public key encryption with an ML-KEM + ECDH composite scheme is as follows:

  1. Take the recipient's authenticated public key packet pkComposite and sessionKey as input

  2. Parse the algorithm ID from pkComposite and set it as algId

  3. Extract the ecdhPublicKey and mlkemPublicKey component from the algorithm specific data encoded in pkComposite with the format specified in Section 5.3.2.

  4. Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to Table 6

  5. Compute (ecdhCipherText, ecdhKeyShare) = ECDH-KEM.Encaps(ecdhPublicKey)

  6. Compute (mlkemCipherText, mlkemKeyShare) = ML-KEM.Encaps(mlkemPublicKey)

  7. Compute KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId) as defined in Section 5.2.1

  8. Compute C = AESKeyWrap(KEK, sessionKey) with AES-256 as per [RFC3394] that includes a 64 bit integrity check

  9. Output the algorithm specific part of the PKESK as ecdhCipherText || mlkemCipherText || len(C, symAlgId) (|| symAlgId) || C, where both symAlgId and len(C, symAlgId) are single octet fields, symAlgId denotes the symmetric algorithm ID used and is present only for a v3 PKESK, and len(C, symAlgId) denotes the combined octet length of the fields specified as the arguments.

5.2.4. Decryption Procedure

The procedure to perform public key decryption with an ML-KEM + ECDH composite scheme is as follows:

  1. Take the matching PKESK and own secret key packet as input

  2. From the PKESK extract the algorithm ID as algId and the wrapped session key as encryptedKey

  3. Check that the own and the extracted algorithm ID match

  4. Parse the ecdhSecretKey and mlkemSecretKey from the algorithm- specific data of the own secret key, and the ecdhPublicKey from the algorithm-specific data of the own public key, encoded in the formats specified in Section 5.3.2.

  5. Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to Table 6

  6. Parse ecdhCipherText, mlkemCipherText, and C from encryptedKey encoded as ecdhCipherText || mlkemCipherText || len(C, symAlgId) (|| symAlgId) || C as specified in Section 5.3.1, where symAlgId is present only in the case of a v3 PKESK.

  7. Compute (ecdhKeyShare) = ECDH-KEM.Decaps(ecdhCipherText, ecdhSecretKey)

  8. Compute (mlkemKeyShare) = ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)

  9. Compute KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId) as defined in Section 5.2.1

  10. Compute sessionKey = AESKeyUnwrap(KEK, C) with AES-256 as per [RFC3394], aborting if the 64 bit integrity check fails

  11. Output sessionKey

5.3. Packet Specifications

5.3.1. Public Key Encrypted Session Key Packets (Packet Type ID 1)

The algorithm-specific fields consist of the output of the encryption procedure described in Section 5.2.3:

  • A fixed-length octet string representing an ECDH ephemeral public key in the format associated with the curve as specified in Section 5.1.1.

  • A fixed-length octet string of the ML-KEM ciphertext, whose length depends on the algorithm ID as specified in Table 5.

  • A one-octet size of the following fields.

  • Only in the case of a v3 PKESK packet: a one-octet symmetric algorithm identifier.

  • The wrapped session key represented as an octet string.

Note that like in the case of the algorithms X25519 and X448 specified in [RFC9580], for the ML-KEM composite schemes, in the case of a v3 PKESK packet, the symmetric algorithm identifier is not encrypted. Instead, it is prepended to the wrapped session key in plaintext and its length is included in the preceding length field. In the case of v3 PKESK packets for ML-KEM composite schemes, the symmetric algorithm used MUST be AES-128, AES-192 or AES-256 (algorithm ID 7, 8 or 9).

In the case of a v3 PKESK, a receiving implementation MUST check if the length of the unwrapped symmetric key matches the symmetric algorithm identifier, and abort if this is not the case.

Implementations MUST NOT use the obsolete Symmetrically Encrypted Data packet (Packet Type ID 9) to encrypt data protected with the algorithms described in this document.

5.3.2. Key Material Packets

The composite ML-KEM + ECDH schemes defined in this specification MUST be used only with v6 keys, as defined in [RFC9580], or newer versions defined by updates of that document.

5.3.2.1. Public Key Packets (Packet Type IDs 6 and 14)

The algorithm-specific public key is this series of values:

  • A fixed-length octet string representing an ECC public key, in the point format associated with the curve specified in Section 5.1.1.

  • A fixed-length octet string containing the ML-KEM public key, whose length depends on the algorithm ID as specified in Table 5.

5.3.2.2. Secret Key Packets (Packet Type IDs 5 and 7)

The algorithm-specific secret key is these two values:

  • A fixed-length octet string of the encoded ECDH secret key, whose encoding and length depend on the algorithm ID as specified in Section 5.1.1.

  • A fixed-length octet string containing the ML-KEM secret key in seed format, whose length is 64 octets (compare Table 5). The seed format is defined in accordance with Section 3.3 of [FIPS-203]. Namely, the secret key is given by the concatenation of the values of d and z, generated in steps 1 and 2 of ML-KEM.KeyGen [FIPS-203], each of a length of 32 octets. Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function ML-KEM.KeyGen_internal [FIPS-203] has to be invoked with the parsed values of d and z as input.

6. Composite Signature Schemes

6.1. Building Blocks

6.1.1. ECDSA-Based Signatures

To sign and verify with ECDSA the following operations are defined:

(ecdsaSignatureR, ecdsaSignatureS) <- ECDSA.Sign(ecdsaSecretKey,
                                                 dataDigest)

and

(verified) <- ECDSA.Verify(ecdsaPublicKey, dataDigest,
                           ecdsaSignatureR, ecdsaSignatureS)

Here, the operation ECDSA.Sign() is defined as the algorithm in Section "6.4.1 ECDSA Signature Generation Algorithm" of [FIPS-186-5], however, excluding Step 1: H = Hash(M) in that algorithm specification, as in this specification the message digest H is a direct input to the operation ECDSA.Sign(). Equivalently, the operation ECDSA.Sign() can be understood as representing the algorithm under Section "4.2.1.1. Signature Algorithm" in [TR-03111], again with the difference that in this specification the message digest H_Tau(M) appearing in Step 5 of the algorithm specification is the direct input to the operation ECDSA.Sign() and thus the hash computation is not carried out. The same statement holds for the definition of the verification operation ECDSA.Verify(): it is given either through the algorithm defined in Section "6.4.2 ECDSA Signature Verification Algorithm" of [FIPS-186-5] omitting the message digest computation in Step 2 or by the algorithm in Section "4.2.1.2. Verification Algorithm" of [TR-03111] omitting the message digest computation in Step 3.

The public keys MUST be encoded in SEC1 format as defined in section Section 2.1.1. The secret key, as well as both values R and S of the signature MUST each be encoded as a big-endian integer in a fixed-length octet string of the specified size.

The following table describes the ECDSA parameters and artifact lengths:

Table 7: ECDSA parameters and artifact lengths
  NIST P-384 NIST-P-521 brainpoolP384r1 brainpoolP512r1
Algorithm ID reference 41 42 43 44
Field size 48 octets 66 octets 48 octets 64 octets
Public key 97 octets 133 octets 97 octets 129 octets
Secret (Private) key 48 octets 66 octets 48 octets 64 octets
Signature value R 48 octets 66 octets 48 octets 64 octets
Signature value S 48 octets 66 octets 48 octets 64 octets

6.1.2. ML-DSA Signatures

Throughout this specification ML-DSA refers to the default pure and hedged version of ML-DSA defined in [FIPS-204].

ML-DSA signature generation is performed using the default hedged version of the ML-DSA.Sign algorithm, as specified in [FIPS-204], with an empty context string ctx. That is, to sign with ML-DSA the following operation is defined:

(mldsaSignature) <- ML-DSA.Sign(mldsaSecretKey, dataDigest)

ML-DSA signature verification is performed using the ML-DSA.Verify algorithm, as specified in [FIPS-204], with an empty context string ctx. That is, to verify with ML-DSA the following operation is defined:

(verified) <- ML-DSA.Verify(mldsaPublicKey, dataDigest, mldsaSignature)

ML-DSA has the parametrization with the corresponding artifact lengths in octets as given in Table 8. All artifacts are encoded as defined in [FIPS-204].

Table 8: ML-DSA parameters and artifact lengths
  ML-DSA-65 ML-DSA-87
Algorithm ID reference 41, 43 42, 44
Public key 1952 octets 2592 octets
Secret (Private) key 32 octets 32 octets
Signature 3309 octets 4627 octets

6.2. Composite Signature Schemes with ML-DSA

6.2.1. Key Generation Procedure

The implementation MUST generate the ML-DSA and the ECDSA component keys independently. ML-DSA key generation follows the specification in [FIPS-204] and the artifacts are encoded as fixed-length octet strings whose sizes are listed in Section 6.1.2. ECDSA key generation follows the specification in Appendix A of [FIPS-186-5], and the artifacts are encoded as fixed-length octet strings whose sizes are listed in Section 6.1.1.

6.2.2. Signature Generation

To sign a message M with ML-DSA + ECDSA the following sequence of operations has to be performed:

  1. Generate dataDigest according to Section 5.2.4 of [RFC9580]

  2. Create the ECDSA signature over dataDigest with ECDSA.Sign() from Section 6.1.1

  3. Create the ML-DSA signature over dataDigest with ML-DSA.Sign() from Section 6.1.2

  4. Encode the ECDSA and ML-DSA signatures according to the packet structure given in Section 6.3.1

6.2.3. Signature Verification

To verify an ML-DSA + ECDSA signature the following sequence of operations has to be performed:

  1. Verify the ECDSA signature with ECDSA.Verify() from Section 6.1.1

  2. Verify the ML-DSA signature with ML-DSA.Verify() from Section 6.1.2

As specified in Section 4.2 an implementation MUST validate both signatures, that is, ECDSA and ML-DSA, successfully to state that a composite ML-DSA + ECDSA signature is valid.

6.3. Packet Specifications

6.3.1. Signature Packet (Packet Type ID 2)

The composite ML-DSA + ECDSA schemes MUST be used only with v6 signatures, as defined in [RFC9580], or newer versions defined by updates of that document.

The algorithm-specific v6 signature parameters for ML-DSA + ECDSA signatures consist of:

  • A fixed-length octet string of the big-endian encoded ECDSA value R, whose length depends on the algorithm ID as specified in Table 7.

  • A fixed-length octet string of the big-endian encoded ECDSA value S, whose length depends on the algorithm ID as specified in Table 7.

  • A fixed-length octet string of the ML-DSA signature value, whose length depends on the algorithm ID as specified in Table 8.

A composite ML-DSA + ECDSA signature MUST use a hash algorithm with a digest size of at least 256 bits for the computation of the message digest. A verifying implementation MUST reject any composite ML-DSA + ECDSA signature that uses a hash algorithm with a smaller digest size.

6.3.2. Key Material Packets

The composite ML-DSA + ECDSA schemes MUST be used only with v6 keys, as defined in [RFC9580], or newer versions defined by updates of that document.

6.3.2.1. Public Key Packets (Packet Type IDs 6 and 14)

The algorithm-specific public key for ML-DSA + ECDSA keys is this series of values:

  • A fixed-length octet string representing the ECDSA public key in SEC1 format, as specified in section Section 2.1.1, whose length depends on the algorithm ID as specified in Table 7.

  • A fixed-length octet string containing the ML-DSA public key, whose length depends on the algorithm ID as specified in Table 8.

6.3.2.2. Secret Key Packets (Packet Type IDs 5 and 7)

The algorithm-specific secret key for ML-DSA + ECDSA keys is this series of values:

  • A fixed-length octet string representing the ECDSA secret key as a big-endian encoded integer, whose length depends on the algorithm ID as specified in Table 7.

  • A fixed-length octet string containing the ML-DSA secret key in seed format, whose length is 32 octets (compare Table 8). The seed format is defined in accordance with Section 3.6.3 of [FIPS-204]. Namely, the secret key is given by the value xi generated in step 1 of ML-DSA.KeyGen [FIPS-204]. Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function ML-DSA.KeyGen_internal [FIPS-204] has to be invoked with the parsed value of xi as input.

7. Security Considerations

The following security considerations given in [RFC9980] equally apply to this document:

When implementing or using any of the algorithms defined in this specification, the above referenced security considerations should be noted.

7.1. Elliptic Curve Point Validation

In contrast to the Montgomery and Edwards curves used for the composite schemes defined in [RFC9980], the NIST and Brainpool curves used in this document are curves in short Weierstrass form. For these curves, performing a scalar multiplication of a secret scalar with an attacker-controlled point that does not lie on the curve can enable invalid-curve attacks, which can lead to the recovery of the ECDH secret key. To prevent these attacks, the procedures described in Section 5.1.1.1 require implementations to perform full public key validation according to Section 5.6.2.3.3 of [SP800-56A] on all EC points that are input to the ECDH-KEM operations.

8. IANA Considerations

IANA is requested to add the algorithm IDs defined in Table 9 to the existing registry OpenPGP Public Key Algorithms maintained at [IANA-OPENPGP]. The field specifications enclosed in brackets for the ML-KEM + ECDH composite algorithms denote fields that are only conditionally contained in the data structure.

Table 9: IANA updates for registry 'OpenPGP Public Key Algorithms'
ID Algorithm Public Key Format Secret Key Format Signature Format PKESK Format Reference
37 ML-KEM-768+ECDH-NIST-P-384 97 octets ECDH public key (Table 3), 1184 octets ML-KEM-768 public key (Table 5) 48 octets ECDH secret key (Table 3), 64 octets ML-KEM-768 secret key (Table 5) N/A 97 octets ECDH ciphertext, 1088 octets ML-KEM-768 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] n octets wrapped session key (Section 5.3.1) Section 5.2
38 ML-KEM-1024+ECDH-NIST-P-521 133 octets ECDH public key (Table 3), 1568 octets ML-KEM-1024 public key (Table 5) 66 octets ECDH secret key (Table 3), 64 octets ML-KEM-1024 secret key (Table 5) N/A 133 octets ECDH ciphertext, 1568 octets ML-KEM-1024 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] n octets wrapped session key (Section 5.3.1) Section 5.2
39 ML-KEM-768+ECDH-brainpoolP384r1 97 octets ECDH public key (Table 4), 1184 octets ML-KEM-768 public key (Table 5) 48 octets ECDH secret key (Table 4), 64 octets ML-KEM-768 secret key (Table 5) N/A 97 octets ECDH ciphertext, 1088 octets ML-KEM-768 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] n octets wrapped session key (Section 5.3.1) Section 5.2
40 ML-KEM-1024+ECDH-brainpoolP512r1 129 octets ECDH public key (Table 4), 1568 octets ML-KEM-1024 public key (Table 5) 64 octets ECDH secret key (Table 4), 64 octets ML-KEM-1024 secret key (Table 5) N/A 129 octets ECDH ciphertext, 1568 octets ML-KEM-1024 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] n octets wrapped session key (Section 5.3.1) Section 5.2
41 ML-DSA-65+ECDSA-NIST-P-384 97 octets ECDSA public key (Table 7), 1952 octets ML-DSA-65 public key (Table 8) 48 octets ECDSA secret key (Table 7), 32 octets ML-DSA-65 secret key (Table 8) 96 octets ECDSA signature Table 7 , 3309 octets ML-DSA-65 signature (Table 8) N/A Section 6.2
42 ML-DSA-87+ECDSA-NIST-P-521 133 octets ECDSA public key (Table 7), 2592 octets ML-DSA-87 public key (Table 8) 66 octets ECDSA secret key (Table 7), 32 octets ML-DSA-87 secret key (Table 8) 132 octets ECDSA signature Table 7 , 4627 octets ML-DSA-87 signature (Table 8) N/A Section 6.2
43 ML-DSA-65+ECDSA-brainpoolP384r1 97 octets ECDSA public key (Table 7), 1952 octets ML-DSA-65 public key (Table 8) 48 octets ECDSA secret key (Table 7), 32 octets ML-DSA-65 secret key (Table 8) 96 octets ECDSA signature Table 7 , 3309 octets ML-DSA-65 signature (Table 8) N/A Section 6.2
44 ML-DSA-87+ECDSA-brainpoolP512r1 129 octets ECDSA public key (Table 7), 2592 octets ML-DSA-87 public key (Table 8) 64 octets ECDSA secret key (Table 7), 32 octets ML-DSA-87 secret key (Table 8) 128 octets ECDSA signature Table 7 , 4627 octets ML-DSA-87 signature (Table 8) N/A Section 6.2

IANA is asked to add the following note to this registry:

9. Changelog

This section gives the history of changes in the respective document versions. The order is newest-first.

9.1. draft-ietf-openpgp-nist-bp-comp-05

  • Replaced experimental algorithm IDs 100-107 with the assigned algorithm IDs 37-44.

  • Removed the note about using experimental code points for interoperability testing.

  • Re-generated the test vectors using algorithm IDs 37-44 and updated the corresponding fingerprints and intermediate composite KEM values.

  • Added detached signature test vectors for all four composite signature algorithms.

9.2. draft-ietf-openpgp-nist-bp-comp-04

  • Added the requirement to perform full public key validation on received EC points in the ECDH-KEM operations, and a corresponding security consideration regarding invalid-curve attacks.

  • Fixed errors in the IANA table: ECDH secret key length for P-521 (66 instead of 64 octets), ML-KEM-1024 public key labels, and a wrong table reference for the ECDH secret key format.

  • Corrected the description of the placement of the symmetric algorithm identifier in v3 PKESK packets to match the wire format and [RFC9980].

  • Fixed the mislabeled reference to FIPS 186-5 (previously labeled as SP 800-186) and cite FIPS 186-5 Appendix A for EC key generation.

  • Decryption procedure: clarified that ecdhPublicKey is taken from the public key part of the own secret key packet.

  • Removed a stale editor's note above the IANA table.

  • Update reference I-D.draft-ietf-openpgp-pqc to RFC 9980.

  • Change email address of one author.

9.3. draft-ietf-openpgp-nist-bp-comp-03

  • Fix: Display test vector public keys (instead of secret keys).

  • Align with (relevant) editorial changes from IESG review of [RFC9980].

9.4. draft-ietf-openpgp-nist-bp-comp-02

  • Updated algorithm selection and assigned experimental code points 100-107.

  • Added test vectors.

9.7. draft-ehlen-openpgp-nist-bp-comp-02

  • Completed the IANA table.

  • Added "Security Considerations" section.

  • Alignment of various technical details to [RFC9980].

  • Various editorial alignments to [RFC9980].

9.8. draft-ehlen-openpgp-nist-bp-comp-01

  • Replaced the explicit description of the KEM combiner with a reference to [RFC9980].

10. Contributors

11. References

11.1. Normative References

[FIPS-186-5]
Information Technology Laboratory, National Institute of Standards and Technology, "Digital Signature Standard (DSS)", NIST FIPS 186-5 , , <https://doi.org/10.6028/NIST.FIPS.186-5>.
[FIPS-203]
National Institute of Standards and Technology, "Module-Lattice-Based Key-Encapsulation Mechanism Standard", , <https://doi.org/10.6028/NIST.FIPS.203>.
[FIPS-204]
National Institute of Standards and Technology, "Module-Lattice-Based Digital Signature Standard", , <https://doi.org/10.6028/NIST.FIPS.204>.
[IANA-OPENPGP]
IANA, "OpenPGP Public Key Algorithms", n.d., <https://www.iana.org/assignments/openpgp/openpgp.xhtml#openpgp-public-key-algorithms>.
[RFC2119]
Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, , <https://www.rfc-editor.org/rfc/rfc2119>.
[RFC3394]
Schaad, J. and R. Housley, "Advanced Encryption Standard (AES) Key Wrap Algorithm", RFC 3394, DOI 10.17487/RFC3394, , <https://www.rfc-editor.org/rfc/rfc3394>.
[RFC5639]
Lochter, M. and J. Merkle, "Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation", RFC 5639, DOI 10.17487/RFC5639, , <https://www.rfc-editor.org/rfc/rfc5639>.
[RFC7748]
Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves for Security", RFC 7748, DOI 10.17487/RFC7748, , <https://www.rfc-editor.org/rfc/rfc7748>.
[RFC8032]
Josefsson, S. and I. Liusvaara, "Edwards-Curve Digital Signature Algorithm (EdDSA)", RFC 8032, DOI 10.17487/RFC8032, , <https://www.rfc-editor.org/rfc/rfc8032>.
[RFC8174]
Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, , <https://www.rfc-editor.org/rfc/rfc8174>.
[RFC9580]
Wouters, P., Ed., Huigens, D., Winter, J., and Y. Niibe, "OpenPGP", RFC 9580, DOI 10.17487/RFC9580, , <https://www.rfc-editor.org/rfc/rfc9580>.
[RFC9980]
Kousidis, S., Roth, J., Strenzke, F., and A. Wussler, "Post-Quantum Cryptography in OpenPGP", RFC 9980, DOI 10.17487/RFC9980, , <https://www.rfc-editor.org/rfc/rfc9980>.
[SEC1]
Standards for Efficient Cryptography Group, "Standards for Efficient Cryptography 1 (SEC 1)", , <https://secg.org/sec1-v2.pdf>.
[SP800-56A]
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 , , <https://doi.org/10.6028/NIST.SP.800-56Ar3>.
[SP800-186]
Chen, L., Moody, D., Regenscheid, A., and K. Randall, "Recommendations for Discrete Logarithm-Based Cryptography: Elliptic Curve Domain Parameters", NIST Special Publication 800-186 , , <https://doi.org/10.6028/NIST.SP.800-186>.

11.2. Informative References

[ABH_21]
Alwen, J., Blanchet, B., Hauck, E., Kiltz, E., Lipp, B., and D. Riepel, "Analysing the HPKE Standard", , <https://doi.org/10.1007/978-3-030-77870-5_4>.
[RFC9794]
Driscoll, F., Parsons, M., and B. Hale, "Terminology for Post-Quantum Traditional Hybrid Schemes", RFC 9794, DOI 10.17487/RFC9794, , <https://www.rfc-editor.org/rfc/rfc9794>.
[TR-03111]
Federal Office for Information Security, Germany, "Technical Guideline BSI TR-03111 – Elliptic Curve Cryptography, Version 2.1", , <https://www.bsi.bund.de/DE/Themen/Unternehmen-und-Organisationen/Standards-und-Zertifizierung/Technische-Richtlinien/TR-nach-Thema-sortiert/tr03111/TR-03111_node.html>.

Appendix A. Test Vectors

A.1. Sample ML-DSA-65+ECDSA-NIST-P-384 with ML-KEM-768+ECDH-NIST-P-384 Data

A.1.1. Transferable Secret Key

Here is a Transferable Secret Key consisting of:

  • A v6 ML-DSA-65+ECDSA-NIST-P-384 Private Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-768+ECDH-NIST-P-384 Private Subkey packet

  • A v6 subkey binding signature

The primary key has the fingerprint 44F8AEA123A5BB7B747C714A3749876A84ECC7EFCAC6CB5ACCD1A152F6351DE6.

The subkey has the fingerprint 175BCF4EA2AC9C2C35809D071B2549C9DB1898878863D12D374C5A0C794F0AFE.

-----BEGIN PGP PRIVATE KEY BLOCK-----
Comment: 44F8 AEA1 23A5 BB7B 747C 714A 3749 876A  84EC C7EF CAC6 CB5A CCD1 A152 F635 1DE6
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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BgoPFx0g
-----END PGP PRIVATE KEY BLOCK-----

A.1.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.1.1 consisting of:

  • A v6 ML-DSA-65+ECDSA-NIST-P-384 Public Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-768+ECDH-NIST-P-384 Public Subkey packet

  • A v6 subkey binding signature

-----BEGIN PGP PUBLIC KEY BLOCK-----
Comment: 44F8 AEA1 23A5 BB7B 747C 714A 3749 876A  84EC C7EF CAC6 CB5A CCD1 A152 F635 1DE6
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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z1thYo2cDFZkcZ69yOsUK1SQlagxu+4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYK
DxcdIA==
-----END PGP PUBLIC KEY BLOCK-----

A.1.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.1.2 and signed by the secret key Appendix A.1.1:

  • A v6 PKESK

  • A v2 SEIPD

The hex-encoded mlkemKeyShare input to multiKeyCombine is 6FC2B62C8A99B3ACE887055CEF120E763820D8742373FB9FBED1AE140056F34D.

The hex-encoded ecdhKeyShare input to multiKeyCombine is 849DB1550BC587A213684D607C4B2A888FAADBEAC9B86F4D940CEDFF7CC6F2C6FEA19640135D2676E3309F3B496B114C.

The hex-encoded output of multiKeyCombine is E32208735F54262A792303915B26BD37BE621FC278617CE81EE62FB41C60F3FD.

The hex-encoded session key is 3DDC8DBB5E523105E906E05EF47157103DD6342E58D91271F496A4699075D265.

-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----

A.1.4. Detached Signature

Here is a detached signature over the message "Testing\n" created by the secret key Appendix A.1.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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yZ8wxnkPowo16zB/ob35I0yzw/HyIjJrc4fQESIuWbzqFytHdJWm609UXK28wdTk
7/YAAAAAAAAAAAAAAAAAAAAABAoQFh0n
-----END PGP SIGNATURE-----

A.2. Sample ML-DSA-87+ECDSA-NIST-P-521 with ML-KEM-1024+ECDH-NIST-P-521 Data

A.2.1. Transferable Secret Key

Here is a Transferable Secret Key consisting of:

  • A v6 ML-DSA-87+ECDSA-NIST-P-521 Private Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-1024+ECDH-NIST-P-521 Private Subkey packet

  • A v6 subkey binding signature

The primary key has the fingerprint 97BF5A5EB176B4830F8087EDC98048717273D9EF7A95BA81425664BEDBC81AE5.

The subkey has the fingerprint 3838F412C21DF580C7B8A316BE850C3F26684FC713FEE9801D4D1227294DD094.

-----BEGIN PGP PRIVATE KEY BLOCK-----
Comment: 97BF 5A5E B176 B483 0F80 87ED C980 4871  7273 D9EF 7A95 BA81 4256 64BE DBC8 1AE5
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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-----END PGP PRIVATE KEY BLOCK-----

A.2.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.2.1 consisting of:

  • A v6 ML-DSA-87+ECDSA-NIST-P-521 Public Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-1024+ECDH-NIST-P-521 Public Subkey packet

  • A v6 subkey binding signature

-----BEGIN PGP PUBLIC KEY BLOCK-----
Comment: 97BF 5A5E B176 B483 0F80 87ED C980 4871  7273 D9EF 7A95 BA81 4256 64BE DBC8 1AE5
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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-----END PGP PUBLIC KEY BLOCK-----

A.2.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.2.2 and signed by the secret key Appendix A.2.1:

  • A v6 PKESK

  • A v2 SEIPD

The hex-encoded mlkemKeyShare input to multiKeyCombine is 70864EE075F0D9DA98596201DB720283EABED187655264BA78DEB6C4830D74E6.

The hex-encoded ecdhKeyShare input to multiKeyCombine is 0199DF8E39D0F2707661C511630F86B3BC534759F4D47731F3DD248E8B603A1402CB055F187D35D931A7845F937414AE40EF6BBFAC260810CE1BF6596D16763AD421.

The hex-encoded output of multiKeyCombine is AE20BEC20344D38BCFBDDD5F47CB39DF6FDCF21812609989A2B8EBDB1C86E444.

The hex-encoded session key is 1CF924D10F23B2AC9A4EE7F851F608C46949777722128C482053CA8DE46FE4DC.

-----BEGIN PGP MESSAGE-----

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+RT9ZppC
-----END PGP MESSAGE-----

A.2.4. Detached Signature

Here is a detached signature over the message "Testing\n" created by the secret key Appendix A.2.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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Mz8=
-----END PGP SIGNATURE-----

A.3. Sample ML-DSA-65+ECDSA-brainpoolP384r1 with ML-KEM-768+ECDH-brainpoolP384r1 Data

A.3.1. Transferable Secret Key

Here is a Transferable Secret Key consisting of:

  • A v6 ML-DSA-65+ECDSA-brainpoolP384r1 Private Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-768+ECDH-brainpoolP384r1 Private Subkey packet

  • A v6 subkey binding signature

The primary key has the fingerprint 89F721E99B3E6D46ED6D6D0BA71D4691DF5981F7EDC756527F8E35ADAD7C02BA.

The subkey has the fingerprint B416466A0828115F0DC503A3FC7BA4A9A29D89ED12B7C16792237428619C5F51.

-----BEGIN PGP PRIVATE KEY BLOCK-----
Comment: 89F7 21E9 9B3E 6D46 ED6D 6D0B A71D 4691  DF59 81F7 EDC7 5652 7F8E 35AD AD7C 02BA
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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hd/5Slap0uY6gJ3A6luu5fY8P1Z9fsTW2fYAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
BAoPFBgh
-----END PGP PRIVATE KEY BLOCK-----

A.3.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.3.1 consisting of:

  • A v6 ML-DSA-65+ECDSA-brainpoolP384r1 Public Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-768+ECDH-brainpoolP384r1 Public Subkey packet

  • A v6 subkey binding signature

-----BEGIN PGP PUBLIC KEY BLOCK-----
Comment: 89F7 21E9 9B3E 6D46 ED6D 6D0B A71D 4691  DF59 81F7 EDC7 5652 7F8E 35AD AD7C 02BA
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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DxQYIQ==
-----END PGP PUBLIC KEY BLOCK-----

A.3.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.3.2 and signed by the secret key Appendix A.3.1:

  • A v6 PKESK

  • A v2 SEIPD

The hex-encoded mlkemKeyShare input to multiKeyCombine is D70855BE74329189A0216FD01CB3CDE5B7A3ABCA1D2B1FE66AA7C89130B282E1.

The hex-encoded ecdhKeyShare input to multiKeyCombine is 42E358469E28AD7A27DE68CE2F8FAA66C52D90BEE435D02E79E8B06617135526B129927DDEA04B18F1D810CB3AC80F70.

The hex-encoded output of multiKeyCombine is A984B4AB2F0D371597CA0E8CEB9FE7A898E6DE4637250CB5444A734903A31A2C.

The hex-encoded session key is 8EA71B68C451D4EDAF3A09F821CD7ABFAC1A8378CBCBDC3B7EC0104B01C67EED.

-----BEGIN PGP MESSAGE-----

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pWGOgnhYbR70h4RVpXT94AHpKn6z+OS/3pIA8AhbmMC58hdvyTsDBQ==
-----END PGP MESSAGE-----

A.3.4. Detached Signature

Here is a detached signature over the message "Testing\n" created by the secret key Appendix A.3.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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exjKQprBjo1ID48ICg8dNKq5vsTGG0iKlZmxwh4nVGLzAQ8tS8LV1tzgVX274P9x
gbnD7wAAAAAAAAAAAAAAAAAAChEWHyQp
-----END PGP SIGNATURE-----

A.4. Sample ML-DSA-87+ECDSA-brainpoolP512r1 with ML-KEM-1024+ECDH-brainpoolP512r1 Data

A.4.1. Transferable Secret Key

Here is a Transferable Secret Key consisting of:

  • A v6 ML-DSA-87+ECDSA-brainpoolP512r1 Private Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-1024+ECDH-brainpoolP512r1 Private Subkey packet

  • A v6 subkey binding signature

The primary key has the fingerprint 1E6A6AEB3DE4E0796F5DE5C1B0C8F234DE56DD7C724AAB3847F464A75AB30DB6.

The subkey has the fingerprint D56E2B801D217D01601AE80CCB146655004B3EB7F8329DBE59EF8C081E5EB41E.

-----BEGIN PGP PRIVATE KEY BLOCK-----
Comment: 1E6A 6AEB 3DE4 E079 6F5D E5C1 B0C8 F234  DE56 DD7C 724A AB38 47F4 64A7 5AB3 0DB6
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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ttQTS11ulri67AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFDhIWHictNQ==
-----END PGP PRIVATE KEY BLOCK-----

A.4.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.4.1 consisting of:

  • A v6 ML-DSA-87+ECDSA-brainpoolP512r1 Public Key packet

  • A v6 direct key self-signature

  • A User ID packet

  • A v6 positive certification self-signature

  • A v6 ML-KEM-1024+ECDH-brainpoolP512r1 Public Subkey packet

  • A v6 subkey binding signature

-----BEGIN PGP PUBLIC KEY BLOCK-----
Comment: 1E6A 6AEB 3DE4 E079 6F5D E5C1 B0C8 F234  DE56 DD7C 724A AB38 47F4 64A7 5AB3 0DB6
Comment: PQC user (Test Key) <pqc-test-key@example.com>

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EhYeJy01
-----END PGP PUBLIC KEY BLOCK-----

A.4.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.4.2 and signed by the secret key Appendix A.4.1:

  • A v6 PKESK

  • A v2 SEIPD

The hex-encoded mlkemKeyShare input to multiKeyCombine is 959D22B1B1F77350228AFDD0336AB6B772E0D32B482E19C0DC6C40D8AB2A3AAA.

The hex-encoded ecdhKeyShare input to multiKeyCombine is A43FDA1493FA96C50B979FE97947B7097FF9E6FD3EA1B9C1F80EB58C1BC8D88EFCD637FE1C89B0C1BEFA8C49C3413A3AE22DF087D5CC8CCD868FA7374B3CB71A.

The hex-encoded output of multiKeyCombine is 627468BE7E65FA4013345B23F0789FE1AF9F4D47AB4C56C143A825EF243994FE.

The hex-encoded session key is 97E1336C5E4C46020F74D934BBDFCAC1751C8B57D8C2C472A344ECFECE11B20B.

-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----

A.4.4. Detached Signature

Here is a detached signature over the message "Testing\n" created by the secret key Appendix A.4.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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-----END PGP SIGNATURE-----

Acknowledgments

Authors' Addresses

Quynh Dang
NIST
United States of America
Stephan Ehlen
BSI
Germany
Stavros Kousidis
BSI
Germany
Johannes Roth
MTG AG
Germany
Falko Strenzke
MTG AG
Germany