New extremal self-dual codes of length 68

Steven T. Dougherty, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this correspondence, we give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k < 10, the relationship between extremal doubly-even self-dual codes of length 24fc, and certain singly-even self-dual codes of length 24k -2 is presented.

Original languageEnglish
Pages (from-to)2133-2136
Number of pages4
JournalIEEE Transactions on Information Theory
Volume45
Issue number6
DOIs
Publication statusPublished - 1999
Externally publishedYes

Keywords

  • New extremal doubly-even codes
  • Shadow codes
  • Weight enumerators

ASJC Scopus subject areas

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

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