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

Aydin, Nuh; Cengellenmis, Yasemin; Dertli, Abdullah; Dougherty, Steven; Salturk, Esengul

doi:10.3934/amc.2020005

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, cilt.14, sa.1, ss.53-67, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 14 Sayı: 1
Basım Tarihi: 2020
Doi Numarası: 10.3934/amc.2020005
Dergi Adı: ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
Sayfa Sayıları: ss.53-67
Anahtar Kelimeler: Skew-cyclic code, Frobenius rings, local rings, CYCLIC CODES, ALGEBRAIC STRUCTURE, MODULES
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.