THE WEIGHT DISTRIBUTIONS OF SOME IRREDUCIBLE CYCLIC CODES OF LENGTH pn AND 2pn

被引：7
作者：
Kumar, Pankaj [1 ]
Sangwan, Monika [1 ]
Arora, Suresh Kumar [2 ]
机构：
[1] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India
[2] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2015年 / 9卷 / 03期
关键词：
Irreducible cyclic codes; weight distribution; GAUSS SUMS;
D O I：
10.3934/amc.2015.9.277
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, an algorithm is given for computing the weight distributions of all irreducible cyclic codes of dimension p(j) d generated by x(pj) - 1, where p is an odd prime, j >= 0 and d > 1. Then the weight distributions of all irreducible cyclic codes of length p(n) and 2p(n) over F-q, where n is a positive integer, p, q are distinct odd primes and q is primitive root modulo p(n), are obtained. The weight distributions of all the irreducible cyclic codes of length 3(n+1) over F-5 are also determined explicitly.
引用
收藏
页码：277 / 289
页数：13
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