Linear codes over Fq× (Fq+ vFq)

Mevlüt Tekkoyun*, Ergün Yaraneri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let R be the Fq -algebra Fq× (Fq+ vFq) of order q3 where v2= v and Fq is a finite field of q elements. We study linear codes over R, not only generalizing most of the existing results for q= 2 but also adding some new results. Our work is quite comprehensive including standard forms of generator matrices, free codes, dual codes, cyclic codes.

Original languageEnglish
Pages (from-to)3553-3578
Number of pages26
JournalJournal of Applied Mathematics and Computing
Volume69
Issue number4
DOIs
Publication statusPublished - Aug 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.

Keywords

  • Codes over rings
  • Cyclic codes
  • Dual codes
  • Free codes
  • Linear codes

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