Skew G -codes

S. T. Dougherty, Serap Şahinkaya, Bahattin Yildiz

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We describe skew G-codes, which are codes that are the ideals in a skew group ring, where the ring is a finite commutative Frobenius ring and G is an arbitrary finite group. These codes generalize many of the well-known classes of codes such as cyclic, quasicyclic, constacyclic codes, skew cyclic, skew quasicyclic and skew constacyclic codes. Additionally, using the skew G-matrices, we can generalize almost all the known constructions in the literature for self-dual codes.

Original languageEnglish (US)
JournalJournal of Algebra and Its Applications
DOIs
StateAccepted/In press - 2020

Keywords

  • G -codes
  • Self-dual codes
  • Skew codes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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