Constacyclic Codes over Fp + vFp

被引:0
作者
Zhang, Guanghui [1 ]
机构
[1] Luoyang Normal Univ, Sch Math Sci, Luoyang 471934, Henan, Peoples R China
基金
美国国家科学基金会;
关键词
Constacyclic code; polynomial generator; generating set in standard form; NEGACYCLIC CODES; EVEN LENGTH; RINGS; F-2;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study constacyclic codes over F-p + vF(p), where p is an odd prime and v(2) = v. The polynomial generators of all constacyclic codes over F-p + vF(p) are characterized and their dual codes are also determined.
引用
收藏
页码:55 / 67
页数:13
相关论文
共 12 条
[1]   Constacyclic codes over F2 + uF2 [J].
Abualrub, Taher ;
Siap, Irfan .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (05) :520-529
[2]   Negacyclic codes over Z4 of even length [J].
Blackford, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (06) :1417-1424
[3]   Constacyclic codes of length ps over Fpm + uFpm [J].
Dinh, Hai Q. .
JOURNAL OF ALGEBRA, 2010, 324 (05) :940-950
[4]   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
[5]   Cyclic and negacyclic codes over finite chain rings [J].
Dinh, HQ ;
López-Permouth, SR .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (08) :1728-1744
[6]   MDS and self-dual codes over rings [J].
Guenda, Kenza ;
Gulliver, T. Aaron .
FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (06) :1061-1075
[7]   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
[8]   Duality for modules over finite rings and applications to coding theory [J].
Wood, JA .
AMERICAN JOURNAL OF MATHEMATICS, 1999, 121 (03) :555-575
[9]  
Yildiz B, 2010, DESIGN CODE CRYPTOGR, V54, P61, DOI 10.1007/s10623-009-9309-8
[10]   A class of constacyclic codes over Fp plus vFp and its Gray image [J].
Zhu, Shixin ;
Wang, Liqi .
DISCRETE MATHEMATICS, 2011, 311 (23-24) :2677-2682