A note on cyclic codes over GR(p2, m) of length pk

被引：24

作者：

Kiah, Han Mao ^{[1
]}

Leung, Ka Hin ^{[2
]}

Ling, San ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

[2] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2012年 / 63卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Self-dual; Cyclic codes; Galois rings; Genocchi numbers; EVEN LENGTH; Z(4);

D O I：

10.1007/s10623-011-9538-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The number of self-dual cyclic codes of length p (k) over GR(p (2), m) is determined by the nullity of a certain matrix M(p (k) , i (1)). With the aid of Genocchi numbers, we determine the nullity of M(p (k) , i (1)) and hence determine completely the number of such codes.

引用

页码：105 / 112

页数：8

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