New extremal binary self-dual codes of length 66 as extensions of self-dual codes over Rk

Suat Karadeniz, Bahattin Yildiz

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We obtain extremal binary self-dual codes of parameters [64,32,12] as binary images of self-dual codes over R1, R2 and R 3 by employing different methods. We then apply the extension theorem to these codes to obtain a number of extremal binary self-dual codes of length 66 with trivial automorphism groups. Fifteen of the codes we obtain have new β values in W66,3, of which only three were known to exist before. We also find nine codes with new β values in W66,1, thus updating the list of such known codes.

Original languageEnglish (US)
Pages (from-to)1963-1973
Number of pages11
JournalJournal of the Franklin Institute
Volume350
Issue number8
DOIs
StatePublished - Oct 2013
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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