Classification of ternary extremal self-dual codes of length 28

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8 Citations (Scopus)

Abstract

All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we give a classification of ternary extremal self-dual codes of length 28. Up to equivalence, there are 6,931 such codes.

Original languageEnglish
Pages (from-to)1787-1796
Number of pages10
JournalMathematics of Computation
Volume78
Issue number267
DOIs
Publication statusPublished - 2009 Jul

Keywords

  • Extremal self-dual code
  • Frame
  • Unimodular lattice

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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