Source-pinned research

Research proof index

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Project-declaredLean 4.31.0

Rq l2Norm Sq mul le

ArkLib.Lattices.CyclotomicModulus.Rq.l2NormSq_mul_le

Plain-language statement

Per-entry product norm bound (Micciancio/Young, cf. [Mic07, ineqs. (2.6)–(2.7)]). Over the negacyclic ring X^{2^α}+1, ‖d·w‖₂² ≤ ‖d‖₁²·‖w‖₂².

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Scalar Vec Mul mul l2Norm Sq le

ArkLib.Lattices.CyclotomicModulus.scalarVecMul_mul_l2NormSq_le

Plain-language statement

Micciancio/Young product bound. Over the power-of-two cyclotomic modulus powTwoCyclotomic α (φ = X^{2^α}+1), scaling an already-c-scaled vector by a further ring element d of bounded centered ℓ₁ norm grows the squared ℓ₂ norm by at most κ² (the honest Young/Micciancio inequality ‖(c·d)·v‖₂² ≤ ‖d‖₁² · ‖c·v‖₂² over the negacyclic convolu...

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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