Weight enumerators of some irreducible cyclic codes of odd length

被引：1

作者：

Bishnoi, Monika ^{[1
,2
]}

Kumar, Pankaj ^{[1
]}

机构：

[1] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India

[2] CRM Jat Coll, Dept Math, Hisar 125001, Haryana, India

来源：

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2023年 / 15卷 / 04期

关键词：

Cyclic codes; Minimum distance; Weight enumerator; Weight distribution; DISTRIBUTIONS;

D O I：

10.1007/s12095-023-00637-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let n > 1 be an odd integer, ?(n) be the product of all distinct prime divisors of n, and let q be a prime power such that the multiplicative order of q modulo n is a divisor of (?(n))/(3n) . In this paper, we obtain weight enumerators of all irreducible cyclic codes of length n over F-q with the help of their generator polynomials.

引用

页码：795 / 809

页数：15

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