(1 - 2u(2))-Constacyclic Codes over F-p

被引：0

作者：

Mostafanasab, Hojjat ^{[1
]}

Karimi, Negin ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math & Applicat, Ardebil, Iran

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2016年 / 9卷 / 01期

关键词：

Finite fields; Cyclic codes; Constacyclic codes;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-p be a finite field, where p is an odd prime, and let u be an indeterminate. This article studies (1 - 2u(2))-constacyclic codes over the ring F-p + uF(p) + u(2)F(p), where u(3) = u. We describe generator polynomials of this kind of codes and investigate the structural properties of these codes by a decomposition theorem.

引用

页码：39 / 47

页数：9

共 15 条

[1] On (1-u)-cyclic codes over Fpk + uFpk [J].

Amarra, Maria Carmen V. ;

Nemenzo, Fidel R. .

APPLIED MATHEMATICS LETTERS, 2008, 21 (11) :1129-1133

[2]

Aydin N, 2013, APPL ALGEBR ENG COMM, V24, P355, DOI 10.1007/s00200-013-0207-y

[3] Cyclic codes and self-dual codes over F2+uF2 [J].

Bonnecaze, A ;

Udaya, P .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) :1250-1255

[4] Constacyclic codes of length ps over Fpm + uFpm [J].

Dinh, Hai Q. .

JOURNAL OF ALGEBRA, 2010, 324 (05) :940-950

[5] Constacyclic Codes of Length 2s Over Galois Extension Rings of F2 + uF2 [J].

Dinh, Hai Q. .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (04) :1730-1740

[6] Negacyclic codes of length 2s over Galois rings [J].

Dinh, HQ .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4252-4262

[7] Cyclic and negacyclic codes over finite chain rings [J].

Dinh, HQ ;

López-Permouth, SR .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (08) :1728-1744

[8]

Gao J, 2015, J APPL MATHE COMPUT, V47, P473, DOI 10.1007/s12190-014-0786-1

[9] THE Z4-LINEARITY OF KERDOCK, PREPARATA, GOETHALS, AND RELATED CODES [J].

HAMMONS, AR ;

KUMAR, PV ;

CALDERBANK, AR ;

SLOANE, NJA ;

SOLE, P .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (02) :301-319

[10] SKEW CONSTACYCLIC CODES OVER FINITE CHAIN RINGS [J].

Jitman, Somphong ;

Ling, San ;

Udomkavanich, Patanee .

ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2012, 6 (01) :39-63

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