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Diskretnaya Matematika, 2021, Volume 33, Issue 2, Pages 117–140
DOI: https://doi.org/10.4213/dm1645 (Mi dm1645) 		 
Estimates of lengths of shortest nonzero vectors in some lattices, II

A. S. Rybakov

TVP Laboratory
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DOI: https://doi.org/10.4213/dm1645
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.
Keywords: lattice, shortest nonzero vectors, Minkowski successive minima.
Received: 28.07.2020
English version:
Discrete Mathematics and Applications, 2022, Volume 32, Issue 5, Pages 341–358
DOI: https://doi.org/10.1515/dma-2022-0028
Document Type: Article
UDC: 514.174.6+519.16
Language: Russian
Citation: A. S. Rybakov, “Estimates of lengths of shortest nonzero vectors in some lattices, II”, Diskr. Mat., 33:2 (2021), 117–140; Discrete Math. Appl., 32:5 (2022), 341–358
Citation in format AMSBIB
\Bibitem{Ryb21}
\by A.~S.~Rybakov
\paper Estimates of lengths of shortest nonzero vectors in some lattices, II
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 2
\pages 117--140
\mathnet{http://mi.mathnet.ru/dm1645}
\crossref{https://doi.org/10.4213/dm1645}
\transl
\jour Discrete Math. Appl.
\yr 2022
\vol 32
\issue 5
\pages 341--358
\crossref{https://doi.org/10.1515/dma-2022-0028}
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