The existence of a self-dual [70, 35, 12] code and formally self-dual codes

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27 Citations (Scopus)

Abstract

In this note, the existence of self-dual codes and formally self-dual even codes is investigated. A construction for self-dual codes is presented, based on extending generator matrices. Using this method, a singly-even self-dual [70, 35, 12] code is constructed from a self-dual code of length 68. This is the first published example of a singly-even [70, 35, 12] code. Constructions are also given for formally self-dual even codes. Extremal formally self-dual even codes are constructed.

Original languageEnglish
Pages (from-to)131-139
Number of pages9
JournalFinite Fields and their Applications
Volume3
Issue number2
DOIs
Publication statusPublished - 1997 Apr 1
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

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