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zeekay
256d44c165
Adds the Tier A formal-artifact cluster for protocols/cmp (Lux profile of CGGMP21 threshold ECDSA, CCS '21 / ePrint 2021/060). Mirrors luxfi/pulsar's Tier A structure adapted to CCS '21's 4-round keygen + 3-round presign + 1-round online sign decomposition. - proofs/easycrypt/CGGMP21_N1.ec — Class N1 byte-equality reduction - proofs/easycrypt/CGGMP21_N1_Refinement.ec — keygen/presign/sign refinement - proofs/easycrypt/CGGMP21_Paillier.ec — Paillier additive homomorphism - proofs/easycrypt/CGGMP21_ZK.ec — 17 ZK subprotocol cluster obligation - proofs/easycrypt/CGGMP21_N4.ec — refresh / proactive rotation - proofs/easycrypt/lemmas/CGGMP21_CT.ec — constant-time obligations - proofs/easycrypt/AXIOM-INVENTORY.md — honest enumeration - proofs/lean-easycrypt-bridge.md — Lean↔EC bridge map - jasmin/lib/ + jasmin/single-party/ + jasmin/presign/ + jasmin/threshold/ Admit budget: 1/1 (same one-line group-identity admit as FROST_N4). ZK cluster obligation surface honest: 17 subprotocols enumerated, mechanization is multi-year program documented in AXIOM-INVENTORY.md §closure roadmap.
61 lines
2.3 KiB
Plaintext
61 lines
2.3 KiB
Plaintext
// CGGMP21 Presign Round 1 — per-party commit (Lux profile).
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//
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// Reference: CCS '21 §5.1 Round 1; mirrors Go reference at
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// `~/work/lux/threshold/protocols/cmp/presign/round1.go`.
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//
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// -----------------------------------------------------------------------------
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// Algorithm
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// -----------------------------------------------------------------------------
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//
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// Each party samples (k_i, gamma_i) uniformly from F_n*, encrypts both
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// under their own Paillier modulus N_i, and broadcasts ZK proofs of
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// log-knowledge.
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//
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// Inputs:
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// share: this party's secret share s_i (SECRET, 32 bytes)
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// randomness: 64 bytes of fresh entropy (SECRET)
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// aux: auxiliary keygen output (paillier_pk_i, paillier_sk_i,
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// pedersen_params_i, paillier_pk_j for all peers j)
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// session_id: 16-byte session id (PUBLIC)
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// my_idx: party index (PUBLIC)
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//
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// Outputs:
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// round1_msg: K_i = enc_i(k_i, r_K), G_i = enc_i(gamma_i, r_G), ZK proofs
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// nonce_state: (k_i, gamma_i) — SECRET, stored locally for R2/R3.
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//
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// Constant-time obligations:
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// - Sampling: bytes_to_scalar_nonzero must be CT (sampling distribution
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// independent of nothing — but the rejection-on-zero path must be CT).
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// - Paillier encryption: CT in (k_i, gamma_i).
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// - ZK provers: CT in (k_i, gamma_i, paillier_sk_i).
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require "../lib/cmp_params.jinc"
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require "../lib/paillier.jinc"
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inline
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fn cmp_presign_round1(
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reg ptr u8[CMP_SCALAR_BYTES] share,
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reg ptr u8[64] randomness,
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reg ptr u8[16] session_id,
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reg u32 my_idx,
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reg ptr u8[CMP_PAILLIER_CT_BYTES] K_i_out,
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reg ptr u8[CMP_PAILLIER_CT_BYTES] G_i_out,
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reg ptr u8[64] nonce_state_out
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) -> reg ptr u8[CMP_PAILLIER_CT_BYTES], reg ptr u8[CMP_PAILLIER_CT_BYTES],
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reg ptr u8[64]
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{
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// TODO: jasmin implementation.
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//
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// Pseudocode:
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// k_i <- bytes_to_scalar_nonzero(randomness[0..32])
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// gamma_i <- bytes_to_scalar_nonzero(randomness[32..64])
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// K_i <- paillier_encrypt(N_i, k_i, fresh_r_K)
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// G_i <- paillier_encrypt(N_i, gamma_i, fresh_r_G)
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// {ZK proofs of log_paillier knowledge for K_i and G_i go here}
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// nonce_state_out <- k_i || gamma_i
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//
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// CT: every Paillier operation + ZK prover must be CT in
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// (k_i, gamma_i, paillier_sk_i).
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return K_i_out, G_i_out, nonce_state_out;
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}
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