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- W4367000289 abstract "In this paper, we show that for each lattice basis, there exists an equivalent basis which we describe as ``strongly reduced''. We show that bases reduced in this manner exhibit rather ``short'' basis vectors, that is, the length of the $i$th basis vector of a strongly reduced basis is upper bounded by a polynomial factor in $i$ multiplied by the $i$th successive minima of the lattice. The polynomial factor seems to be smaller than other known factors in literature, such as HKZ and Minkowski reduced bases. Finally, we show that such bases also exhibit relatively small orthogonality defects." @default.
- W4367000289 created "2023-04-27" @default.
- W4367000289 creator A5046218035 @default.
- W4367000289 date "2023-04-24" @default.
- W4367000289 modified "2023-09-30" @default.
- W4367000289 title "Strongly Reduced Lattice Bases" @default.
- W4367000289 doi "https://doi.org/10.48550/arxiv.2304.12135" @default.
- W4367000289 hasPublicationYear "2023" @default.
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