SKEW CONSTACYCLIC CODES OVER THE LOCAL FROBENIUS NON-CHAIN RINGS OF ORDER 16

Aydin N., Cengellenmis Y., Dertli A., Dougherty S. T., Salturk E.

ADVANCES IN MATHEMATICS OF COMMUNICATIONS, vol.14, no.1, pp.53-67, 2020 (SCI-Expanded) identifier identifier

  • 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: Skew-cyclic code, Frobenius rings, local rings, CYCLIC CODES, ALGEBRAIC STRUCTURE, MODULES
  • Ondokuz Mayıs 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.