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- W4362508136 abstract "In this paper we recall the basic results of reduction theory of positive definite quadratic forms. Since finding the shortest vectors in a lattice is an NP-hard problem, the low-dimensional results in lattice reduction theory have important role. Using the result of Ryskov on admissible centerings and the result of Tammela about the determination of a Minkowski-reduced form, we prove that the absolute values of coordinates of a minimum vector in a six-dimensional Minkowski-reduced basis are less or equal to three. To get this sharpening of P. Tammela's interesting works, we combine some elementary geometric reasonings with the mentioned theoretical results." @default.
- W4362508136 created "2023-04-06" @default.
- W4362508136 creator A5068088169 @default.
- W4362508136 date "2021-02-09" @default.
- W4362508136 modified "2023-10-01" @default.
- W4362508136 title "A note on the low-dimensional Minkowski-reduction" @default.
- W4362508136 doi "https://doi.org/10.48550/arxiv.2102.05154" @default.
- W4362508136 hasPublicationYear "2021" @default.
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