Bitcoin Core 28.99.0
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Classes | Typedefs | Functions
secp256k1_musig.h File Reference
#include "secp256k1_extrakeys.h"
#include <stddef.h>
#include <stdint.h>
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Classes

struct  secp256k1_musig_keyagg_cache
 This module implements BIP 327 "MuSig2 for BIP340-compatible Multi-Signatures" (https://github.com/bitcoin/bips/blob/master/bip-0327.mediawiki) v1.0.0. More...
 
struct  secp256k1_musig_secnonce
 Opaque data structure that holds a signer's secret nonce. More...
 
struct  secp256k1_musig_pubnonce
 Opaque data structure that holds a signer's public nonce. More...
 
struct  secp256k1_musig_aggnonce
 Opaque data structure that holds an aggregate public nonce. More...
 
struct  secp256k1_musig_session
 Opaque data structure that holds a MuSig session. More...
 
struct  secp256k1_musig_partial_sig
 Opaque data structure that holds a partial MuSig signature. More...
 

Typedefs

typedef struct secp256k1_musig_keyagg_cache secp256k1_musig_keyagg_cache
 This module implements BIP 327 "MuSig2 for BIP340-compatible Multi-Signatures" (https://github.com/bitcoin/bips/blob/master/bip-0327.mediawiki) v1.0.0. More...
 
typedef struct secp256k1_musig_secnonce secp256k1_musig_secnonce
 Opaque data structure that holds a signer's secret nonce. More...
 
typedef struct secp256k1_musig_pubnonce secp256k1_musig_pubnonce
 Opaque data structure that holds a signer's public nonce. More...
 
typedef struct secp256k1_musig_aggnonce secp256k1_musig_aggnonce
 Opaque data structure that holds an aggregate public nonce. More...
 
typedef struct secp256k1_musig_session secp256k1_musig_session
 Opaque data structure that holds a MuSig session. More...
 
typedef struct secp256k1_musig_partial_sig secp256k1_musig_partial_sig
 Opaque data structure that holds a partial MuSig signature. More...
 

Functions

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubnonce_parse (const secp256k1_context *ctx, secp256k1_musig_pubnonce *nonce, const unsigned char *in66) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Parse a signer's public nonce. More...
 
SECP256K1_API int secp256k1_musig_pubnonce_serialize (const secp256k1_context *ctx, unsigned char *out66, const secp256k1_musig_pubnonce *nonce) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Serialize a signer's public nonce. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_aggnonce_parse (const secp256k1_context *ctx, secp256k1_musig_aggnonce *nonce, const unsigned char *in66) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Parse an aggregate public nonce. More...
 
SECP256K1_API int secp256k1_musig_aggnonce_serialize (const secp256k1_context *ctx, unsigned char *out66, const secp256k1_musig_aggnonce *nonce) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Serialize an aggregate public nonce. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_parse (const secp256k1_context *ctx, secp256k1_musig_partial_sig *sig, const unsigned char *in32) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Parse a MuSig partial signature. More...
 
SECP256K1_API int secp256k1_musig_partial_sig_serialize (const secp256k1_context *ctx, unsigned char *out32, const secp256k1_musig_partial_sig *sig) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Serialize a MuSig partial signature. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_agg (const secp256k1_context *ctx, secp256k1_xonly_pubkey *agg_pk, secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_pubkey *const *pubkeys, size_t n_pubkeys) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(4)
 Computes an aggregate public key and uses it to initialize a keyagg_cache. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_get (const secp256k1_context *ctx, secp256k1_pubkey *agg_pk, const secp256k1_musig_keyagg_cache *keyagg_cache) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Obtain the aggregate public key from a keyagg_cache. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_ec_tweak_add (const secp256k1_context *ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4)
 Apply plain "EC" tweaking to a public key in a given keyagg_cache by adding the generator multiplied with tweak32 to it. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_xonly_tweak_add (const secp256k1_context *ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4)
 Apply x-only tweaking to a public key in a given keyagg_cache by adding the generator multiplied with tweak32 to it. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen (const secp256k1_context *ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, unsigned char *session_secrand32, const unsigned char *seckey, const secp256k1_pubkey *pubkey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(6)
 Starts a signing session by generating a nonce. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen_counter (const secp256k1_context *ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, uint64_t nonrepeating_cnt, const secp256k1_keypair *keypair, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5)
 Alternative way to generate a nonce and start a signing session. More...
 
SECP256K1_API int secp256k1_musig_nonce_agg (const secp256k1_context *ctx, secp256k1_musig_aggnonce *aggnonce, const secp256k1_musig_pubnonce *const *pubnonces, size_t n_pubnonces) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 Aggregates the nonces of all signers into a single nonce. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_process (const secp256k1_context *ctx, secp256k1_musig_session *session, const secp256k1_musig_aggnonce *aggnonce, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5)
 Takes the aggregate nonce and creates a session that is required for signing and verification of partial signatures. More...
 
SECP256K1_API int secp256k1_musig_partial_sign (const secp256k1_context *ctx, secp256k1_musig_partial_sig *partial_sig, secp256k1_musig_secnonce *secnonce, const secp256k1_keypair *keypair, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6)
 Produces a partial signature. More...
 
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_verify (const secp256k1_context *ctx, const secp256k1_musig_partial_sig *partial_sig, const secp256k1_musig_pubnonce *pubnonce, const secp256k1_pubkey *pubkey, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6)
 Verifies an individual signer's partial signature. More...
 
SECP256K1_API int secp256k1_musig_partial_sig_agg (const secp256k1_context *ctx, unsigned char *sig64, const secp256k1_musig_session *session, const secp256k1_musig_partial_sig *const *partial_sigs, size_t n_sigs) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4)
 Aggregates partial signatures. More...
 

Typedef Documentation

◆ secp256k1_musig_aggnonce

Opaque data structure that holds an aggregate public nonce.

Guaranteed to be 132 bytes in size. Serialized and parsed with musig_aggnonce_serialize and musig_aggnonce_parse.

◆ secp256k1_musig_keyagg_cache

This module implements BIP 327 "MuSig2 for BIP340-compatible Multi-Signatures" (https://github.com/bitcoin/bips/blob/master/bip-0327.mediawiki) v1.0.0.

You can find an example demonstrating the musig module in examples/musig.c.

The module also supports BIP 341 ("Taproot") public key tweaking.

It is recommended to read the documentation in this include file carefully. Further notes on API usage can be found in doc/musig.md

Since the first version of MuSig is essentially replaced by MuSig2, we use MuSig, musig and MuSig2 synonymously unless noted otherwise. Opaque data structures

The exact representation of data inside the opaque data structures is implementation defined and not guaranteed to be portable between different platforms or versions. With the exception of secp256k1_musig_secnonce, the data structures can be safely copied/moved. If you need to convert to a format suitable for storage, transmission, or comparison, use the corresponding serialization and parsing functions. Opaque data structure that caches information about public key aggregation.

Guaranteed to be 197 bytes in size. No serialization and parsing functions (yet).

◆ secp256k1_musig_partial_sig

Opaque data structure that holds a partial MuSig signature.

Guaranteed to be 36 bytes in size. Serialized and parsed with musig_partial_sig_serialize and musig_partial_sig_parse.

◆ secp256k1_musig_pubnonce

Opaque data structure that holds a signer's public nonce.

Guaranteed to be 132 bytes in size. Serialized and parsed with musig_pubnonce_serialize and musig_pubnonce_parse.

◆ secp256k1_musig_secnonce

Opaque data structure that holds a signer's secret nonce.

Guaranteed to be 132 bytes in size.

WARNING: This structure MUST NOT be copied or read or written to directly. A signer who is online throughout the whole process and can keep this structure in memory can use the provided API functions for a safe standard workflow.

Copying this data structure can result in nonce reuse which will leak the secret signing key.

◆ secp256k1_musig_session

Opaque data structure that holds a MuSig session.

This structure is not required to be kept secret for the signing protocol to be secure. Guaranteed to be 133 bytes in size. No serialization and parsing functions (yet).

Function Documentation

◆ secp256k1_musig_aggnonce_parse()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_aggnonce_parse ( const secp256k1_context ctx,
secp256k1_musig_aggnonce nonce,
const unsigned char *  in66 
)

Parse an aggregate public nonce.

Returns: 1 when the nonce could be parsed, 0 otherwise. Args: ctx: pointer to a context object Out: nonce: pointer to a nonce object In: in66: pointer to the 66-byte nonce to be parsed

Definition at line 240 of file session_impl.h.

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◆ secp256k1_musig_aggnonce_serialize()

SECP256K1_API int secp256k1_musig_aggnonce_serialize ( const secp256k1_context ctx,
unsigned char *  out66,
const secp256k1_musig_aggnonce nonce 
)

Serialize an aggregate public nonce.

Returns: 1 always Args: ctx: pointer to a context object Out: out66: pointer to a 66-byte array to store the serialized nonce In: nonce: pointer to the nonce

Definition at line 257 of file session_impl.h.

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◆ secp256k1_musig_nonce_agg()

SECP256K1_API int secp256k1_musig_nonce_agg ( const secp256k1_context ctx,
secp256k1_musig_aggnonce aggnonce,
const secp256k1_musig_pubnonce *const *  pubnonces,
size_t  n_pubnonces 
)

Aggregates the nonces of all signers into a single nonce.

This can be done by an untrusted party to reduce the communication between signers. Instead of everyone sending nonces to everyone else, there can be one party receiving all nonces, aggregating the nonces with this function and then sending only the aggregate nonce back to the signers.

If the aggregator does not compute the aggregate nonce correctly, the final signature will be invalid.

Returns: 0 if the arguments are invalid, 1 otherwise Args: ctx: pointer to a context object Out: aggnonce: pointer to an aggregate public nonce object for musig_nonce_process In: pubnonces: array of pointers to public nonces sent by the signers n_pubnonces: number of elements in the pubnonces array. Must be greater than 0.

Definition at line 536 of file session_impl.h.

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◆ secp256k1_musig_nonce_gen()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen ( const secp256k1_context ctx,
secp256k1_musig_secnonce secnonce,
secp256k1_musig_pubnonce pubnonce,
unsigned char *  session_secrand32,
const unsigned char *  seckey,
const secp256k1_pubkey pubkey,
const unsigned char *  msg32,
const secp256k1_musig_keyagg_cache keyagg_cache,
const unsigned char *  extra_input32 
)

Starts a signing session by generating a nonce.

This function outputs a secret nonce that will be required for signing and a corresponding public nonce that is intended to be sent to other signers.

MuSig differs from regular Schnorr signing in that implementers must take special care to not reuse a nonce. This can be ensured by following these rules:

  1. Each call to this function must have a UNIQUE session_secrand32 that must NOT BE REUSED in subsequent calls to this function and must be KEPT SECRET (even from other signers).
  2. If you already know the seckey, message or aggregate public key cache, they can be optionally provided to derive the nonce and increase misuse-resistance. The extra_input32 argument can be used to provide additional data that does not repeat in normal scenarios, such as the current time.
  3. Avoid copying (or serializing) the secnonce. This reduces the possibility that it is used more than once for signing.

If you don't have access to good randomness for session_secrand32, but you have access to a non-repeating counter, then see secp256k1_musig_nonce_gen_counter.

Remember that nonce reuse will leak the secret key! Note that using the same seckey for multiple MuSig sessions is fine.

Returns: 0 if the arguments are invalid and 1 otherwise Args: ctx: pointer to a context object (not secp256k1_context_static) Out: secnonce: pointer to a structure to store the secret nonce pubnonce: pointer to a structure to store the public nonce In/Out: session_secrand32: a 32-byte session_secrand32 as explained above. Must be unique to this call to secp256k1_musig_nonce_gen and must be uniformly random. If the function call is successful, the session_secrand32 buffer is invalidated to prevent reuse. In: seckey: the 32-byte secret key that will later be used for signing, if already known (can be NULL) pubkey: public key of the signer creating the nonce. The secnonce output of this function cannot be used to sign for any other public key. While the public key should correspond to the provided seckey, a mismatch will not cause the function to return 0. msg32: the 32-byte message that will later be signed, if already known (can be NULL) keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate (and potentially tweaked) public key if already known (can be NULL) extra_input32: an optional 32-byte array that is input to the nonce derivation function (can be NULL)

Definition at line 461 of file session_impl.h.

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◆ secp256k1_musig_nonce_gen_counter()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen_counter ( const secp256k1_context ctx,
secp256k1_musig_secnonce secnonce,
secp256k1_musig_pubnonce pubnonce,
uint64_t  nonrepeating_cnt,
const secp256k1_keypair keypair,
const unsigned char *  msg32,
const secp256k1_musig_keyagg_cache keyagg_cache,
const unsigned char *  extra_input32 
)

Alternative way to generate a nonce and start a signing session.

This function outputs a secret nonce that will be required for signing and a corresponding public nonce that is intended to be sent to other signers.

This function differs from secp256k1_musig_nonce_gen by accepting a non-repeating counter value instead of a secret random value. This requires that a secret key is provided to secp256k1_musig_nonce_gen_counter (through the keypair argument), as opposed to secp256k1_musig_nonce_gen where the seckey argument is optional.

MuSig differs from regular Schnorr signing in that implementers must take special care to not reuse a nonce. This can be ensured by following these rules:

  1. The nonrepeating_cnt argument must be a counter value that never repeats, i.e., you must never call secp256k1_musig_nonce_gen_counter twice with the same keypair and nonrepeating_cnt value. For example, this implies that if the same keypair is used with secp256k1_musig_nonce_gen_counter on multiple devices, none of the devices should have the same counter value as any other device.
  2. If the seckey, message or aggregate public key cache is already available at this stage, any of these can be optionally provided, in which case they will be used in the derivation of the nonce and increase misuse-resistance. The extra_input32 argument can be used to provide additional data that does not repeat in normal scenarios, such as the current time.
  3. Avoid copying (or serializing) the secnonce. This reduces the possibility that it is used more than once for signing.

Remember that nonce reuse will leak the secret key! Note that using the same keypair for multiple MuSig sessions is fine.

Returns: 0 if the arguments are invalid and 1 otherwise Args: ctx: pointer to a context object (not secp256k1_context_static) Out: secnonce: pointer to a structure to store the secret nonce pubnonce: pointer to a structure to store the public nonce In: nonrepeating_cnt: the value of a counter as explained above. Must be unique to this call to secp256k1_musig_nonce_gen. keypair: keypair of the signer creating the nonce. The secnonce output of this function cannot be used to sign for any other keypair. msg32: the 32-byte message that will later be signed, if already known (can be NULL) keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate (and potentially tweaked) public key if already known (can be NULL) extra_input32: an optional 32-byte array that is input to the nonce derivation function (can be NULL)

Definition at line 489 of file session_impl.h.

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◆ secp256k1_musig_nonce_process()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_process ( const secp256k1_context ctx,
secp256k1_musig_session session,
const secp256k1_musig_aggnonce aggnonce,
const unsigned char *  msg32,
const secp256k1_musig_keyagg_cache keyagg_cache 
)

Takes the aggregate nonce and creates a session that is required for signing and verification of partial signatures.

Returns: 0 if the arguments are invalid, 1 otherwise Args: ctx: pointer to a context object Out: session: pointer to a struct to store the session In: aggnonce: pointer to an aggregate public nonce object that is the output of musig_nonce_agg msg32: the 32-byte message to sign keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate (and potentially tweaked) pubkey

Definition at line 612 of file session_impl.h.

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◆ secp256k1_musig_partial_sig_agg()

SECP256K1_API int secp256k1_musig_partial_sig_agg ( const secp256k1_context ctx,
unsigned char *  sig64,
const secp256k1_musig_session session,
const secp256k1_musig_partial_sig *const *  partial_sigs,
size_t  n_sigs 
)

Aggregates partial signatures.

Returns: 0 if the arguments are invalid, 1 otherwise (which does NOT mean the resulting signature verifies). Args: ctx: pointer to a context object Out: sig64: complete (but possibly invalid) Schnorr signature In: session: pointer to the session that was created with musig_nonce_process partial_sigs: array of pointers to partial signatures to aggregate n_sigs: number of elements in the partial_sigs array. Must be greater than 0.

Definition at line 791 of file session_impl.h.

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◆ secp256k1_musig_partial_sig_parse()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_parse ( const secp256k1_context ctx,
secp256k1_musig_partial_sig sig,
const unsigned char *  in32 
)

Parse a MuSig partial signature.

Returns: 1 when the signature could be parsed, 0 otherwise. Args: ctx: pointer to a context object Out: sig: pointer to a signature object In: in32: pointer to the 32-byte signature to be parsed

Definition at line 275 of file session_impl.h.

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◆ secp256k1_musig_partial_sig_serialize()

SECP256K1_API int secp256k1_musig_partial_sig_serialize ( const secp256k1_context ctx,
unsigned char *  out32,
const secp256k1_musig_partial_sig sig 
)

Serialize a MuSig partial signature.

Returns: 1 always Args: ctx: pointer to a context object Out: out32: pointer to a 32-byte array to store the serialized signature In: sig: pointer to the signature

Definition at line 294 of file session_impl.h.

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◆ secp256k1_musig_partial_sig_verify()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_verify ( const secp256k1_context ctx,
const secp256k1_musig_partial_sig partial_sig,
const secp256k1_musig_pubnonce pubnonce,
const secp256k1_pubkey pubkey,
const secp256k1_musig_keyagg_cache keyagg_cache,
const secp256k1_musig_session session 
)

Verifies an individual signer's partial signature.

The signature is verified for a specific signing session. In order to avoid accidentally verifying a signature from a different or non-existing signing session, you must ensure the following:

  1. The keyagg_cache argument is identical to the one used to create the session with musig_nonce_process.
  2. The pubkey argument must be identical to the one sent by the signer before aggregating it with musig_pubkey_agg to create the keyagg_cache.
  3. The pubnonce argument must be identical to the one sent by the signer before aggregating it with musig_nonce_agg and using the result to create the session with musig_nonce_process.

It is not required to call this function in regular MuSig sessions, because if any partial signature does not verify, the final signature will not verify either, so the problem will be caught. However, this function provides the ability to identify which specific partial signature fails verification.

Returns: 0 if the arguments are invalid or the partial signature does not verify, 1 otherwise Args ctx: pointer to a context object In: partial_sig: pointer to partial signature to verify, sent by the signer associated with pubnonce and pubkey pubnonce: public nonce of the signer in the signing session pubkey: public key of the signer in the signing session keyagg_cache: pointer to the keyagg_cache that was output when the aggregate public key for this signing session session: pointer to the session that was created with musig_nonce_process

Definition at line 728 of file session_impl.h.

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◆ secp256k1_musig_partial_sign()

SECP256K1_API int secp256k1_musig_partial_sign ( const secp256k1_context ctx,
secp256k1_musig_partial_sig partial_sig,
secp256k1_musig_secnonce secnonce,
const secp256k1_keypair keypair,
const secp256k1_musig_keyagg_cache keyagg_cache,
const secp256k1_musig_session session 
)

Produces a partial signature.

This function overwrites the given secnonce with zeros and will abort if given a secnonce that is all zeros. This is a best effort attempt to protect against nonce reuse. However, this is of course easily defeated if the secnonce has been copied (or serialized). Remember that nonce reuse will leak the secret key!

For signing to succeed, the secnonce provided to this function must have been generated for the provided keypair. This means that when signing for a keypair consisting of a seckey and pubkey, the secnonce must have been created by calling musig_nonce_gen with that pubkey. Otherwise, the illegal_callback is called.

This function does not verify the output partial signature, deviating from the BIP 327 specification. It is recommended to verify the output partial signature with secp256k1_musig_partial_sig_verify to prevent random or adversarially provoked computation errors.

Returns: 0 if the arguments are invalid or the provided secnonce has already been used for signing, 1 otherwise Args: ctx: pointer to a context object Out: partial_sig: pointer to struct to store the partial signature In/Out: secnonce: pointer to the secnonce struct created in musig_nonce_gen that has been never used in a partial_sign call before and has been created for the keypair In: keypair: pointer to keypair to sign the message with keyagg_cache: pointer to the keyagg_cache that was output when the aggregate public key for this session session: pointer to the session that was created with musig_nonce_process

Definition at line 658 of file session_impl.h.

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◆ secp256k1_musig_pubkey_agg()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_agg ( const secp256k1_context ctx,
secp256k1_xonly_pubkey agg_pk,
secp256k1_musig_keyagg_cache keyagg_cache,
const secp256k1_pubkey *const *  pubkeys,
size_t  n_pubkeys 
)

Computes an aggregate public key and uses it to initialize a keyagg_cache.

Different orders of pubkeys result in different agg_pks.

Before aggregating, the pubkeys can be sorted with secp256k1_ec_pubkey_sort which ensures the same agg_pk result for the same multiset of pubkeys. This is useful to do before pubkey_agg, such that the order of pubkeys does not affect the aggregate public key.

Returns: 0 if the arguments are invalid, 1 otherwise Args: ctx: pointer to a context object Out: agg_pk: the MuSig-aggregated x-only public key. If you do not need it, this arg can be NULL. keyagg_cache: if non-NULL, pointer to a musig_keyagg_cache struct that is required for signing (or observing the signing session and verifying partial signatures). In: pubkeys: input array of pointers to public keys to aggregate. The order is important; a different order will result in a different aggregate public key. n_pubkeys: length of pubkeys array. Must be greater than 0.

Definition at line 175 of file keyagg_impl.h.

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◆ secp256k1_musig_pubkey_ec_tweak_add()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_ec_tweak_add ( const secp256k1_context ctx,
secp256k1_pubkey output_pubkey,
secp256k1_musig_keyagg_cache keyagg_cache,
const unsigned char *  tweak32 
)

Apply plain "EC" tweaking to a public key in a given keyagg_cache by adding the generator multiplied with tweak32 to it.

This is useful for deriving child keys from an aggregate public key via BIP 32 where tweak32 is set to a hash as defined in BIP 32.

Callers are responsible for deriving tweak32 in a way that does not reduce the security of MuSig (for example, by following BIP 32).

The tweaking method is the same as secp256k1_ec_pubkey_tweak_add. So after the following pseudocode buf and buf2 have identical contents (absent earlier failures).

secp256k1_musig_pubkey_agg(..., keyagg_cache, pubkeys, ...) secp256k1_musig_pubkey_get(..., agg_pk, keyagg_cache) secp256k1_musig_pubkey_ec_tweak_add(..., output_pk, tweak32, keyagg_cache) secp256k1_ec_pubkey_serialize(..., buf, ..., output_pk, ...) secp256k1_ec_pubkey_tweak_add(..., agg_pk, tweak32) secp256k1_ec_pubkey_serialize(..., buf2, ..., agg_pk, ...)

This function is required if you want to sign for a tweaked aggregate key. If you are only computing a public key but not intending to create a signature for it, use secp256k1_ec_pubkey_tweak_add instead.

Returns: 0 if the arguments are invalid, 1 otherwise Args: ctx: pointer to a context object Out: output_pubkey: pointer to a public key to store the result. Will be set to an invalid value if this function returns 0. If you do not need it, this arg can be NULL. In/Out: keyagg_cache: pointer to a musig_keyagg_cache struct initialized by musig_pubkey_agg In: tweak32: pointer to a 32-byte tweak. The tweak is valid if it passes secp256k1_ec_seckey_verify and is not equal to the secret key corresponding to the public key represented by keyagg_cache or its negation. For uniformly random 32-byte arrays the chance of being invalid is negligible (around 1 in 2^128).

Definition at line 283 of file keyagg_impl.h.

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◆ secp256k1_musig_pubkey_get()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_get ( const secp256k1_context ctx,
secp256k1_pubkey agg_pk,
const secp256k1_musig_keyagg_cache keyagg_cache 
)

Obtain the aggregate public key from a keyagg_cache.

This is only useful if you need the non-xonly public key, in particular for plain (non-xonly) tweaking or batch-verifying multiple key aggregations (not implemented).

Returns: 0 if the arguments are invalid, 1 otherwise Args: ctx: pointer to a context object Out: agg_pk: the MuSig-aggregated public key. In: keyagg_cache: pointer to a musig_keyagg_cache struct initialized by musig_pubkey_agg

Definition at line 233 of file keyagg_impl.h.

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◆ secp256k1_musig_pubkey_xonly_tweak_add()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_xonly_tweak_add ( const secp256k1_context ctx,
secp256k1_pubkey output_pubkey,
secp256k1_musig_keyagg_cache keyagg_cache,
const unsigned char *  tweak32 
)

Apply x-only tweaking to a public key in a given keyagg_cache by adding the generator multiplied with tweak32 to it.

This is useful for creating Taproot outputs where tweak32 is set to a TapTweak hash as defined in BIP 341.

Callers are responsible for deriving tweak32 in a way that does not reduce the security of MuSig (for example, by following Taproot BIP 341).

The tweaking method is the same as secp256k1_xonly_pubkey_tweak_add. So in the following pseudocode xonly_pubkey_tweak_add_check (absent earlier failures) returns 1.

secp256k1_musig_pubkey_agg(..., agg_pk, keyagg_cache, pubkeys, ...) secp256k1_musig_pubkey_xonly_tweak_add(..., output_pk, keyagg_cache, tweak32) secp256k1_xonly_pubkey_serialize(..., buf, output_pk) secp256k1_xonly_pubkey_tweak_add_check(..., buf, ..., agg_pk, tweak32)

This function is required if you want to sign for a tweaked aggregate key. If you are only computing a public key but not intending to create a signature for it, use secp256k1_xonly_pubkey_tweak_add instead.

Returns: 0 if the arguments are invalid, 1 otherwise Args: ctx: pointer to a context object Out: output_pubkey: pointer to a public key to store the result. Will be set to an invalid value if this function returns 0. If you do not need it, this arg can be NULL. In/Out: keyagg_cache: pointer to a musig_keyagg_cache struct initialized by musig_pubkey_agg In: tweak32: pointer to a 32-byte tweak. The tweak is valid if it passes secp256k1_ec_seckey_verify and is not equal to the secret key corresponding to the public key represented by keyagg_cache or its negation. For uniformly random 32-byte arrays the chance of being invalid is negligible (around 1 in 2^128).

Definition at line 287 of file keyagg_impl.h.

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◆ secp256k1_musig_pubnonce_parse()

SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubnonce_parse ( const secp256k1_context ctx,
secp256k1_musig_pubnonce nonce,
const unsigned char *  in66 
)

Parse a signer's public nonce.

Returns: 1 when the nonce could be parsed, 0 otherwise. Args: ctx: pointer to a context object Out: nonce: pointer to a nonce object In: in66: pointer to the 66-byte nonce to be parsed

Definition at line 194 of file session_impl.h.

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◆ secp256k1_musig_pubnonce_serialize()

SECP256K1_API int secp256k1_musig_pubnonce_serialize ( const secp256k1_context ctx,
unsigned char *  out66,
const secp256k1_musig_pubnonce nonce 
)

Serialize a signer's public nonce.

Returns: 1 always Args: ctx: pointer to a context object Out: out66: pointer to a 66-byte array to store the serialized nonce In: nonce: pointer to the nonce

Definition at line 214 of file session_impl.h.

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