Hamming weights in irreducible cyclic codes

被引：175

作者：

Ding, Cunsheng ^{[1
]}

Yang, Jing ^{[2
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

DISCRETE MATHEMATICS | 2013年 / 313卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Cyclic codes; Cyclotomy; Difference sets; Gaussian periods; Irreducible cyclic codes; Weight distribution; PERIOD POLYNOMIALS; GAUSS SUMS; DISTRIBUTIONS;

D O I：

10.1016/j.disc.2012.11.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objectives of this paper are to survey and extend earlier results on the weight distributions of irreducible cyclic codes, present a divisibility theorem and develop bounds on the weights in irreducible cyclic codes. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：434 / 446

页数：13

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