Linear codes over Fq× (Fq+ vFq)

Tekkoyun M., Yaraneri E.

Journal of Applied Mathematics and Computing, cilt.69, sa.4, ss.3553-3578, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s12190-023-01893-5
  • Dergi Adı: Journal of Applied Mathematics and Computing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.3553-3578
  • Anahtar Kelimeler: Codes over rings, Cyclic codes, Dual codes, Free codes, Linear codes
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.