Binary extremal self-dual codes of length 60 and related codes

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We give a classification of four-circulant singly even self-dual [60, 30, d] codes for d= 10 and 12. These codes are used to construct extremal singly even self-dual [60, 30, 12] codes with weight enumerator for which no extremal singly even self-dual code was previously known to exist. From extremal singly even self-dual [60, 30, 12] codes, we also construct optimal singly even self-dual [58, 29, 10] codes with weight enumerator for which no optimal singly even self-dual code was previously known to exist. Finally, we give some restriction on the possible weight enumerators of certain singly even self-dual codes with shadow of minimum weight 1.

Original languageEnglish
Pages (from-to)1085-1094
Number of pages10
JournalDesigns, Codes, and Cryptography
Volume86
Issue number5
DOIs
Publication statusPublished - 2018 May 1

Keywords

  • Extremal self-dual code
  • Neighbor
  • Weight enumerator

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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