New nonbinary self-dual codes

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this correspondence, we construct new self-dual codes over F4, F5, F7 with larger minimum weights than the previously known self-dual codes, using construction methods based on circulant and negacirculant matrices. In particular, a self-dual [36,18,13] code over F7 is constructed which has a larger minimum weight than the previously known [36,18] codes.

Original languageEnglish
Pages (from-to)415-417
Number of pages3
JournalIEEE Transactions on Information Theory
Volume54
Issue number1
DOIs
Publication statusPublished - 2008 Jan 1
Externally publishedYes

Keywords

  • Circulant matrix
  • Negacirculant matrix
  • Nonbinary codes
  • Self-dual codes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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