Construction of s-extremal optimal unimodular lattices in dimension 52

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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 (Formula presented.) -code by Construction A. In addition, as neighbours of the lattice, two more s-extremal optimal unimodular lattices are constructed.

Original languageEnglish
Pages (from-to)87-91
Number of pages5
JournalInternational Journal of Computer Mathematics: Computer Systems Theory
Volume5
Issue number2
DOIs
Publication statusPublished - 2020 Apr 2

Keywords

  • Construction A
  • Unimodular lattice
  • optimal lattice
  • s-extremal unimodular lattice
  • self-dual code

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics

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