by
Zeynep Kalaycıoğlu | Ara 11, 2023
The study entitled “Linear Codes over Fqx(Fq+vFq)” led by ITU Department of Mathematics members Res. Asst. Mevlüt TEKKOYUN and Doç. Dr. Ergün YARANERİ were published in “Journal of Applied Mathematics and Computing”.
The study entitled “Linear Codes over Fqx(Fq+vFq)” led by ITU Department of Mathematics members Res. Asst. Mevlüt TEKKOYUN and Doç. Dr. Ergün YARANERİ were published in “Journal of Applied Mathematics and Computing”.
Let R be the Fq-algebra Fq × (Fq + v Fq) of order q3 where v2 = v and Fq is a finite field of q elements. They study linear codes over R, not only generalizing most of the existing results for q = 2 but also adding some new results. Their work is quite comprehensive including standard forms of generator matrices, free codes, dual codes, cyclic codes.
https://link.springer.com/content/pdf/10.1007/s12190-023-01893-5.pdf
