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zeekayandHanzo Dev
286d97cee3
t-of-n custody: no member and no coalition below t holds or can reconstruct the FHE secret key, across key generation and decryption. Reduces to RLWE, Shamir privacy at degree t-1, and the scheme's smudging bound. Correctness is separate and conditional: recombination is exact only on quorums whose Lagrange coefficients are integers. States the measured failure of clearing that denominator with a modular inverse, and the earlier full-key-per-party construction, as the counterexamples they are. Records which secret sharing the scheme uses and why it is not the one the signature schemes use. Co-authored-by: Hanzo Dev <[email protected]>