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The Ethereal
Construction of $s$-extremal optimal unimodular lattices in dimension 52
December 05, 2019 · The Ethereal · 🏛 International Journal of Computer Mathematics Computer Systems Theory
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Authors
Masaaki Harada
arXiv ID
1912.02358
Category
math.CO: Combinatorics
Cross-listed
cs.IT,
math.NT
Citations
0
Venue
International Journal of Computer Mathematics Computer Systems Theory
Last Checked
3 months ago
Abstract
An $s$-extremal optimal unimodular lattice in dimension $52$ is constructed for the first time. This lattice is constructed from a certain self-dual $\mathbb{F}_5$-code by Construction A. In addition, as neighbors of the lattice, two more $s$-extremal optimal unimodular lattices are constructed.
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