Goldilocks#210
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Co-authored-by: Copilot <copilot@github.com>
Bring main's MTU-XMSS structure (tweak table, public_param, T-Sponge with replacement) into the goldilocks branch with all poseidon-related sizes halved: field-element widths main (KoalaBear) goldilocks ------------------ ----------------- ---------- TWEAK_LEN 2 1 XMSS_DIGEST_LEN 4 2 RANDOMNESS_LEN_FE 6 3 MESSAGE_LEN_FE 8 4 PUBLIC_PARAM_LEN_FE 4 2 POSEIDON1_WIDTH 16 8 DIGEST_LEN_FE 8 4 Tweak table slots are 2 FE (1 actual tweak FE + 1 zero pad). The packed tweak fits in a single 64-bit Goldilocks element via `(tweak_type << 42) | (sub_position << 32) | index`. Port main's poseidon precompile features (`half_output`, `hardcoded_offset_left`) from Poseidon16 to Poseidon8, with new committed columns for the flags and `effective_index_left_first/second`. The half-output trace tail values are filled in a post-pass from `memory_padded` (lookup-only — the AIR doesn't constrain them). Encoding decomposition uses the goldilocks-proven 21 chunks of W=3 bits per FE with a factored 1-bit canonical check `(diff)·(diff − 2^63) == 0`, applied to the first 2 of 4 output FE for exactly V = 42 chunks (no V_GRINDING). Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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