New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices

J. Gildea, A. Kaya, R. Taylor, A. Tylyshchak, B. Yildiz

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual codes of various lengths over F2 and F2+uF2. Using extensions, neighbours and sequences of neighbours, we construct many new self-dual codes. In particular, we construct one new self-dual code of length 66 and 51 new self-dual codes of length 68.

Original languageEnglish (US)
Article number112590
JournalDiscrete Mathematics
Volume344
Issue number11
DOIs
StatePublished - Nov 2021

Keywords

  • Codes over rings
  • Quadratic double circulant codes
  • Self-dual codes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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