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Optimal Sample Exponents for Direct Discrete-Gaussian SVP Search on Haar Random Lattices 4JCFPV48VG

URIm2://res/4JCFPV48VG
Kindpreprint
CreatorsMasahiro Kaminaga
Date2026-09-25
MSC60-XX
Subjectsarxiv math.PR
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-09-25
IdsarXiv 2609.30808

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
Shortest length boundsstatementlemma 2.2arxiv
Success exponent for ordinary Gaussian drawsstatementtheorem 4.5arxiv
Approximate adaptive queriesstatementcorollary 5.3arxiv
Balanced width comparisonstatementproposition 4.1arxiv
Uniform Gaussian success exponentstatementlemma 4.6arxiv
Matching exponential rate of the finite conversestatementcorollary 4.8arxiv
Optimal sample exponent for direct Gaussian searchstatementtheorem 1.1arxiv
Finite ordinary Gaussian success boundsstatementtheorem 6.1arxiv
Generation cost needed to improve the benchmarkstatementcorollary 5.2arxiv
Primitive momentsstatementlemma 2.1arxiv
Query budget and sampling errorstatementcorollary 6.2arxiv
Finite converse with primitive reductionstatementtheorem 4.7arxiv
Thermal profile and visibilitystatementlemma 2.5arxiv
Draw rate at the smoothing based widthstatementcorollary 5.1arxiv
Visibility and the subcritical success exponentstatementtheorem 3.1arxiv
Finite adaptive query conversestatementcorollary 6.3arxiv
Uniform partition estimatestatementlemma 2.3arxiv
Acceptance probability of primitive conditioningstatementtheorem 4.4arxiv
Transfer to all nonzero vectorsstatementcorollary 4.3arxiv
A deterministic primitive comparisonstatementproposition 4.2arxiv

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