A Probabilistic Interpretation of GapSVP

We propose a probabilistic interpretation of the Gap Shortest Vector Problem by leveraging Södergren's analysis of random lattices. By linking shortest vector norms with the Gaussian heuristic, our study characterizes GapSVP behavior in high dimensions and informs secure parameter choices in lattice-based cryptography.

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Publication Details

Journal
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Published
2025-05-27
DOI
https://doi.org/10.1587/transfun.2025eal2038
Primary Topic
Urban and Freight Transport Logistics
Type
article
Field-Weighted Citation Impact
0.00

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article

A Probabilistic Interpretation of GapSVP

Takuya Mine, Masahiro Kaminaga
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Urban and Freight Transport Logistics
article

A Probabilistic Interpretation of GapSVP

Takuya Mine, Masahiro Kaminaga
article en

Abstract

We propose a probabilistic interpretation of the Gap Shortest Vector Problem by leveraging Södergren's analysis of random lattices. By linking shortest vector norms with the Gaussian heuristic, our study characterizes GapSVP behavior in high dimensions and informs secure parameter choices in lattice-based cryptography.

IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesVol. E108.A(12)
Kyoto Institute of Technology (JP), Tohoku Gakuin University (JP)
Japan Society for the Promotion of Science
Reduced inequalities
Openalex Percentile: Top 88%
Urban and Freight Transport Logistics
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