某些格中最短非零向量长度的估计,Ⅱ

IF 0.3 Q4 MATHEMATICS, APPLIED Discrete Mathematics and Applications Pub Date : 2022-10-01 DOI:10.1515/dma-2022-0028
A. S. Rybakov
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引用次数: 0

摘要

1988年,Friese等人对3维中某些族的“几乎所有”格的最短非零向量的长度提出了较低的估计。在2004年,本文作者对维度4得到了类似的结果。在这里,通过本文部分得到的结果,我们表明这些估计在维度5中也成立。
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Estimates of lengths of shortest nonzero vectors in some lattices, II
Abstract In 1988, Friese et al. put forward lower estimates for the lengths of shortest nonzero vectors for “almost all” lattices of some families in the dimension 3. In 2004, the author of the present paper obtained a similar result for the dimension 4. Here by means of results obtained in part of the paper we show that these estimates also hold in the dimension 5.
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来源期刊
CiteScore
0.60
自引率
20.00%
发文量
29
期刊介绍: The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.
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