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This index contains 9 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.31.0

Sample advantage le module SIS

ArkLib.Lattices.Ajtai.InnerOuter.WeakBinding.sample_advantage_le_moduleSIS

Plain-language statement

Pointwise weak-binding to Module-SIS bound for fixed samples (over 𝓜(q, α)).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Verified Opening of verify eq true

ArkLib.Lattices.Ajtai.InnerOuter.WeakBinding.verifiedOpening_of_verify_eq_true

Plain-language statement

Extract reusable weak-opening facts from a successful verification (over 𝓜(q, α), where Lyubashevsky–Seiler invertibility applies).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Binding Advantage le module SIS of short Closure

ArkLib.Lattices.Ajtai.Simple.bindingAdvantage_le_moduleSIS_of_shortClosure

Plain-language statement

Binding reduces to Module-SIS for any commitment/Module-SIS shortness predicates closed under differences.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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