303a7caeaebd6fc41dd73aeea5bbb8ae63bb11ad
3 Commits
| Author | SHA1 | Message | Date | |
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3765a82886 |
frost: document deterministic_sign's nonce derivation domain
BIP 445's det_nonce_hash commits to the secret share, my_id, u, the
sorted ids, the aggothernonce, the x-only tweaked threshold public key
and the message. It does not commit to the pubshares, to the untweaked
threshold public key, or to the accumulated tweaks. Because Q and -Q
share an x-coordinate, two tweak caches can agree on everything the
derivation hashes and still disagree on the sign g*gacc that multiplies
the secret share -- a cache initialized from thresh_pk and one
initialized from its negation being the smallest example.
Two calls differing only in that emit the same pubnonce and partial
signatures s = k + e*lambda*d and s' = k - e*lambda*d over the identical
k = k1 + b*k2, so subtracting them yields the secret share. Demonstrated
on a sole signer (u = 1, ids = {0}, pubshares = NULL) with thresh_sk =
0x11.. and msg = 0x42..:
tweaked pk (cache A) 4f355bdc...075871aa
tweaked pk (cache B) 4f355bdc...075871aa same x-only key
pubnonce A == pubnonce B nonce reused
sA - sB 0d7d9c4e...aa748ffa
-2*e*d 0d7d9c4e...aa748ffa d recovered
Nothing inside a single call can catch this. The self-verification that
Sign performs passes in both cases, because each partial signature is
individually valid under the cache it was produced with;
validate_session_params likewise only ties the pubshares to the cache's
own Q0, which both caches satisfy by construction. Note also that
pubshares is optional, so there need not be a second value to disagree
with.
No code change: this is the specified derivation, and committing to Q0
or to gacc here would diverge from BIP 445 and invalidate the
det_sign test vectors. The obligation is the caller's, so state it where
the caller will meet it -- in the function's own documentation and
alongside the existing secnonce and session_secrand32 rules in frost.md.
The rule is that the tweak cache and the pubshares are fixed key
material settled at key generation, never per-session parameters taken
from a coordinator or a peer; under that discipline a repeated call is
byte-identical and harmless, which is the point of a deterministic
nonce.
Worth raising against the BIP: the spec could close this by hashing the
untweaked threshold public key, at the cost of new test vectors.
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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7afaab53dc |
frost: close remaining gaps against the BIP 445 reference
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Four small divergences from the reference implementation and its API
contract, none of which changes any signature: the differential harness
(240 signing + 120 deterministic-signing cases against the Python
reference) produces byte-identical output before and after.
Length prefixes that do not fit
-------------------------------
secp256k1_frost_sha256_write_prefixed asserted, via VERIFY_CHECK, that
the length fits into its prefix. VERIFY_CHECK compiles away in release
builds, so a length that does not fit was silently truncated modulo
2^(8*prefix_size) instead of being rejected, yielding a nonce that does
not follow the spec. The reference raises OverflowError instead.
Only the 4-byte extra_in prefix of nonce_hash is affected, and only where
size_t is wider than 32 bits, so this needs an extra_in of 4 GiB to
trigger. It is nevertheless a silent deviation, so write_prefixed now
returns 0 without writing anything, and the failure is propagated:
secp256k1_frost_nonce_function and secp256k1_frost_det_nonce_function
return 0, and secp256k1_frost_nonce_gen returns 0 after wiping
session_secrand32 and the nonces. Checking the shifted-out bits (which
the loop already computes) rather than comparing extra_in_len against a
32-bit bound avoids a comparison that is always true on 32-bit platforms.
The bound is now documented on the extra_in_len parameter.
Identifiers equal to UINT32_MAX
-------------------------------
BIP 445 derive_interpolating_value accepts every identifier in
0 <= id < 2^32, but secp256k1_frost_ids_are_valid rejected UINT32_MAX
because the mapping to the polynomial x-coordinate, id + 1, overflows in
uint32_t arithmetic. The +1 is now added in scalar arithmetic, where it
cannot overflow, and the identifier restriction is gone. The denominator
never needed the +1 at all, since
x_j - x_i = (id_j + 1) - (my_id + 1) = id_j - my_id
so it is computed directly from the identifiers.
This was unreachable through the public API -- validate_session_params
already bounds identifiers by n_participants, which is at most
SECP256K1_FROST_MAX_PARTICIPANTS = 128 -- but it made an internal helper
diverge from the algorithm it implements. frost_large_id_test covers it
by reconstructing the constant term of a random degree-2 polynomial from
shares held by identifiers 0, UINT32_MAX - 1 and UINT32_MAX.
Zero-length messages
--------------------
secp256k1_frost_session_init and secp256k1_frost_deterministic_sign
required a non-NULL msg, so an empty message -- which the reference
represents as the byte string b"" -- could only be passed as a pointer
that is never dereferenced. Both now accept NULL when msglen is 0,
matching secp256k1_schnorrsig_sign_custom and the msg parameter of
secp256k1_frost_nonce_gen. secp256k1_sha256_write guards both of its
memcpy calls on a non-zero length, so it is never reached with a NULL
pointer.
NonceGen keeps its distinction between a NULL msg and a zero-length msg:
there the BIP really does distinguish msg = None (hashed as the single
byte 0x00) from msg = b"" (hashed as 0x01 followed by an eight-byte zero
length), and the API expresses that as NULL versus non-NULL.
frost_empty_msg_test runs a signing round over a zero-length message
passed both ways and checks that the two session objects are identical.
The two API tests that relied on a NULL msg always being rejected now
pass an explicit non-zero msglen; previously they passed a random msglen
that could be 0.
Header documentation
--------------------
The parameter tables of eleven doc comments had names that did not line
up with their block's continuation column. All parameter tables are now
aligned consistently, with wrapped text two columns past the colon.
Verification
------------
- gcc and clang, -std=c89 -pedantic-errors -Werror, with and without
-DVERIFY: clean
- tests (multiple seeds), noverify_tests and frost_example: pass
- ctime_tests under MemorySanitizer: exits 0 with halt_on_error=1
- vectors.h still reproduces exactly from the spec's JSON vectors
- 240 signing + 120 deterministic-signing differential cases against
the BIP 445 Python reference: byte-identical to the previous commit
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
|
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2d97cc2242 |
Frost Module logic.
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