Skew constacyclic codes over the local frobenius non-chain rings of order 16

Aydin, Nuh; ÇENGELLENMİŞ, YASEMİN; Dertli, Abdullah; Dougherty, Steven; Saltürk, Esengül

doi:10.3934/amc.2020005

Skew constacyclic codes over the local frobenius non-chain rings of order 16

Aydin N., ÇENGELLENMİŞ Y., Dertli A., Dougherty S. T., Saltürk E.

Advances in Mathematics of Communications, vol.14, no.1, pp.53-67, 2020 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 14 Issue: 1
Publication Date: 2020
Doi Number: 10.3934/amc.2020005
Journal Name: Advances in Mathematics of Communications
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
Page Numbers: pp.53-67
Keywords: Frobenius rings, Local rings, Skew-cyclic code
Trakya University Affiliated: Yes

Abstract

We introduce skew constacyclic codes over the local Frobenius non-chain rings of order 16 by defining non-trivial automorphisms on these rings. We study the Gray images of these codes, obtaining a number of binary and quaternary codes with good parameters as images of skew cyclic codes over some of these rings.