New extremal binary self-dual codes from F4 + uF4-lifts of quadratic circulant codes over F4

Abidin Kaya, Bahattin Yildiz, Irfan Siap

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Abstract In this work, quadratic double and quadratic bordered double circulant constructions are applied to F4 + uF4 as well as to F4, and as a result, extremal binary self-dual codes of length 56 and 64 are obtained. The binary extension theorems as well as the ring extension version are used to obtain seven extremal self-dual binary codes of length 58, twenty-four extremal self-dual binary codes of length 66 and twenty-nine extremal self-dual binary codes of length 68, all with new weight enumerators, updating the list of all the known extremal self-dual codes in the literature.

Original languageEnglish (US)
Article number1158
Pages (from-to)318-329
Number of pages12
JournalFinite Fields and Their Applications
Volume35
DOIs
StatePublished - Jul 10 2015
Externally publishedYes

Keywords

  • 13M99
  • 94B99
  • MSC primary 94B05
  • secondary 11T71

ASJC Scopus subject areas

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

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