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PPC64LE brainpoolP256r1, P384r1: public keys and signatures by the comb - #4785
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brainpoolP256r1's and brainpoolP384r1's seven-bit combs (37 and 55 windows, the other targets' tables, `Impl/<Curve>/CombTable7.lean`) on PPC64LE's generic comb, as P-384's (#4700): `[d]G` for `vg_ec_<curve>_public_key` and `[k]G` for `vg_ecdsa_<curve>_sign_k`, whose RFC 6979 signature passes the comb's table. The ladder's public keys and signatures, their literals and their `Verified` are gone. `Proof/<Curve>/Comb7Shape.lean` proves the tables' shape once, with no target. The crates follow. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01TKUFHFbSpgWBYWAsEnfUks
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01TKUFHFbSpgWBYWAsEnfUks
…e of its own Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01TKUFHFbSpgWBYWAsEnfUks
Regenerated with the full emitter on main. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01TKUFHFbSpgWBYWAsEnfUks
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[u]G by the signed seven-bit comb of #4785 (its table, VG_BRAINPOOL<C>R1_COMB, an artifact constant) and [v]Q by the four-bit windows for any a, as P-256's verification (#4770), in place of the joint ladder. The internal point doublings only the joint ladder called are gone. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01TKUFHHNk9SreF92JBY2H8M
This was referenced Nov 9, 2026
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Part of #4141 (the PPC64LE audit). This restacks #4768 onto
mainand replaces it, now that its base, the P-256 signing comb (#4780, which replaced #4754 and #4771), has merged. The Lean commits are #4768's, cherry-picked unchanged. The crate was regenerated with the full emitter onmain.On PPC64LE,
[d]G(public keys) and[k]G(RFC 6979 signatures) for brainpoolP256r1 and brainpoolP384r1 used the Montgomery ladder, one double, add and select per bit. They now use the fixed-base signed seven-bit comb (Impl/Weierstrass/PPC64LE/TComb.lean), as P-256 does (#4729, #4780). brainpoolP512r1 follows on the comb with the addition inlined, once that lands for P-521.What changes
The per-curve files are P-256's comb files with the curve's names and sizes. Nothing shared changes: TComb, the RFC 6979 wrapper, the README tables, the dispatch and the variants all stay as they are.
Impl/Ecdsa/<Curve>/PPC64LEComb.lean: the comb's configuration, built on the curve's ladder layout, with the other targets' tables (Impl/<Curve>/CombTable7.lean, with 37 and 55 windows). AlsopublicKey<Curve>Combandsign<Curve>Comb.Proof/<Curve>/PPC64LE/Comb.lean: the layout andConfig, the table's words, andcomb_generator_ok, i.e. the comb as the stages' generator. The complete addition takesafrom memory, so brainpool'sa ≠ −3needs nothing special.Proof/<Curve>/Comb7Shape.lean(new, target-independent): the tables' length and rows, asProof/P384/Comb7Shape.lean.Proof/EcKey/PPC64LE/<Curve>/Comb{,Lit}.leanandProof/Ecdsa/PPC64LE/<Curve>/Comb{,Lit}.lean: correctness, constant time (taint_decide, with the table's address public) andVerified, with the table as a constant (Abi.withConsts).cs), and the registration requires thatVG_<CURVE>_COMBis not one of the HMAC table's names.Verified. Nothing else used them.No TCB, Spec or Rust change. The crate changes are
crates/verified-garbage-asm-powerpc64leonly: the two curves' modules,internal/vg_ecdsa_<curve>_sign_k, and the newconsts/vg_<curve>_comb.rs.Testing
main(e9073229), the fulllake buildandEmit.leanpass, and the full emitter's output is committed.check_lean_public_imports.pypass.Benchmark
Measured on #4711, whose comb code this is: Benchmarks run 42519119906, with
arches=powerpc64, the two curves' public-key and signing groups, and base8c69d0ca(the ladder).ec_brainpoolp256r1_public_key/65ec_brainpoolp384r1_public_key/97ecdsa_brainpoolp256r1_sha256_sign/64ecdsa_brainpoolp256r1_sha256_sign/1024ecdsa_brainpoolp256r1_sha256_sign/16384ecdsa_brainpoolp384r1_sha384_sign/64ecdsa_brainpoolp384r1_sha384_sign/1024ecdsa_brainpoolp384r1_sha384_sign/16384That run predates
main's inversion chain (#4762) and Montgomery multiplication (#4774), which this PR doesn't change. I haven't measured on this base.Generated by Claude Code