Some new binary quasi-cyclic codes from codes over the ring F2 + u F2 + v F2 + u v F2

Nuh Aydin, Suat Karadeniz, Bahattin Yildiz

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We consider quasi-cyclic codes over the ring F2 + u F 2 + v F2 + u v F2, a finite non-chain ring that has been recently studied in coding theory. The Gray images of these codes are shown to be binary quasi-cyclic codes. Using this method we have obtained seventeen new binary quasi-cyclic codes that are new additions to the database of binary quasi-cyclic codes. Moreover, we also obtain a number of binary quasi-cyclic codes with the same parameters as best known binary linear codes that otherwise have more complicated constructions.

Original languageEnglish (US)
Pages (from-to)355-367
Number of pages13
JournalApplicable Algebra in Engineering, Communications and Computing
Volume24
Issue number5
DOIs
StatePublished - Nov 2013
Externally publishedYes

Keywords

  • Cyclic codes
  • Gray maps
  • Lee weight
  • Quasi-cyclic codes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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