New extremal self-dual codes of length 62 and related extremal self-dual codes

Radinka Dontcheva, Masaaki Harada

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this correspondence, new extremal self-dual codes of length 62 are constructed with weight enumerators of three different types. Two of these types were not represented by any known code up till now. All these codes possess an automorphism of order 15. Some of them are used to construct extremal self-dual codes of length 60 by the method of subtracting. By additional subtracting, an extremal self-dual [58, 29, 10] code was obtained having a weight enumerator which does not correspond to any code known so far.

Original languageEnglish
Pages (from-to)2060-2064
Number of pages5
JournalIEEE Transactions on Information Theory
Volume48
Issue number7
DOIs
Publication statusPublished - 2002 Jul

Keywords

  • Automorphism
  • Extremal self-dual code
  • Weight enumerator

ASJC Scopus subject areas

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

Cite this