There exists no self-dual [24,12,10] code over F5

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Abstract

Self-dual codes overF5exist for all even lengths. The smallest length for which the largest minimum weight among self-dual codes has not been determined is 24, and the largest minimum weight is either 9 or 10. In this note, we show that there exists no self-dual [24, 12, 10] code over F5 , using the classification of 24-dimensional odd unimodular lattices due to Borcherds.

Original languageEnglish
Pages (from-to)125-127
Number of pages3
JournalDesigns, Codes, and Cryptography
Volume52
Issue number1
DOIs
Publication statusPublished - 2009 Jul 1

Keywords

  • Construction A
  • Minimum weight
  • Self-dual code
  • Unimodular lattice

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications

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