IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Upper Bound for the Coefficients of the Shortest Vector of Random Lattice
Masahiro KAMINAGA
著者情報
キーワード: lattice, shortest vector problem
ジャーナル フリー

2023 年 E106.A 巻 12 号 p. 1585-1588

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This paper shows that upper bounds on the coefficients of the shortest vector of a lattice can be represented using the smallest eigenvalue of the Gram matrix for the lattice, obtains its distribution for high-dimensional random Goldstein-Mayer lattice, and applies it to determine the percentage of zeros of coefficient vector.

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© 2023 The Institute of Electronics, Information and Communication Engineers
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