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

被引：1

作者：

Aydin, Nuh ^{[1
]}

Cengellenmis, Yasemin ^{[2
]}

Dertli, Abdullah ^{[3
]}

Dougherty, Steven T. ^{[4
]}

Salturk, Esengul ^{[5
]}

机构：

[1] Kenyon Coll, Dept Math, Gambier, OH 43022 USA

[2] Trakya Univ, Dept Math, TR-22030 Edirne, Turkey

[3] Ondokuz Mayis Univ, Dept Math, TR-55139 Samsun, Turkey

[4] Univ Scranton, Dept Math, Scranton, PA 18518 USA

[5] Res Council Turkey, Sci & Technol, TR-41401 Kocaeli, Turkey

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2020年 / 14卷 / 01期

关键词：

Skew-cyclic code; Frobenius rings; local rings; CYCLIC CODES; ALGEBRAIC STRUCTURE; MODULES;

D O I：

10.3934/amc.2020005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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.

引用

页码：53 / 67

页数：15

共 29 条

[1] The structure of 1-generator quasi-twisted codes and new linear codes [J].

Aydin, N ;

Siap, I ;

Ray-Chaudhuri, DK .

DESIGNS CODES AND CRYPTOGRAPHY, 2001, 24 (03) :313-326

[2]

Aydin N., 2009, The database of Z4 codes, V34, P1

[3]

Aydin N., PREPRINT

[4]

BHARGAVA VK, 1978, IEEE T INFORM THEORY, V24, P630, DOI 10.1109/TIT.1978.1055930

[5] Cyclic codes over Z4 of oddly even length [J].

Blackford, T .

DISCRETE APPLIED MATHEMATICS, 2003, 128 (01) :27-46

[6] CODES OVER CERTAIN RINGS [J].

BLAKE, IF .

INFORMATION AND CONTROL, 1972, 20 (04) :396-&

[7] Skew-cyclic codes [J].

Boucher, D. ;

Geiselmann, W. ;

Ulmer, F. .

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2007, 18 (04) :379-389

[8] Skew constacyclic codes over Galois rings [J].

Boucher, Delphine ;

Sole, Patrick ;

Ulmer, Felix .

ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2008, 2 (03) :273-292

[9]

Boucher D, 2009, LECT NOTES COMPUT SC, V5921, P38, DOI 10.1007/978-3-642-10868-6_3

[10] SOME RESULTS ON QUASI-CYCLIC CODES [J].

CHEN, CL ;

PETERSON, WW .

INFORMATION AND CONTROL, 1969, 15 (05) :407-&

← 1 2 3 →