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Project-declaredLean 4.31.0

Tensor G coord diff

ArkLib.Lattices.Hachi.tensorG_coord_diff

Plain-language statement

Coordinate isolation (Hachi Lemma 8, case (C), the c5 subtract-and-divide crux): if c ≡ⱼ c', the challenge-difference sum collapses to the j-th block, tensorG (c − c') x = (cⱼ − c'ⱼ) •ᵥ (G_k *ᵥ xⱼ).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Tensor G1 coord diff

ArkLib.Lattices.Hachi.tensorG1_coord_diff

Project documentation

Coordinate isolation at k = 1 (Hachi Lemma 8, case (C), the c4 subtract-and-divide crux): if c ≡ⱼ c', then tensorG1 (c − c') ŵ = (cⱼ − c'ⱼ) · wⱼ where w := G_blocks *ᵥ ŵ is the recomposed carrier.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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