New binary self-dual codes via a variation of the four-circulant construction

Joe Gildea, Abidin Kaya, Bahattin Yildiz

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this work, we provide a variation of the four-circulant construction for self-dual codes. By applying the constructions over the alphabets F2, F2 + uF2, F4 + uF4, we were able to obtain extremal binary self-dual codes of lengths 40, 64 including new extremal binary self-dual codes of length 68. More precisely, 43 new extremal binary self-dual codes of length 68 with new parameters have been constructed.

Original languageEnglish (US)
Pages (from-to)213-226
Number of pages14
JournalMathematical Communications
Volume25
Issue number2
StatePublished - 2020

Keywords

  • Circulant matrices
  • Extremal self-dual codes
  • Gray maps

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology
  • Applied Mathematics

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