SOME NEW CLASSES OF CYCLIC CODES WITH THREE OR SIX WEIGHTS

被引：2

作者：

Xia, Yongbo ^{[1
]}

Helleseth, Tor ^{[2
]}

Li, Chunlei ^{[3
]}

机构：

[1] South Central Univ Natl, Dept Math & Stat, Wuhan 430074, Peoples R China

[2] Univ Bergen, Dept Informat, N-5020 Bergen, Norway

[3] Univ Stavanger, Dept Elect Engn & Comp Sci, CIPSI, N-4036 Stavanger, Norway

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2015年 / 9卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Cyclic code; weight distribution; exponential sum; quadratic form; CROSS-CORRELATION; DISTRIBUTIONS; SEQUENCES;

D O I：

10.3934/amc.2015.9.23

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a class of three-weight cyclic codes over prime fields IF p of odd order whose duals have two zeros, and a class of six-weight cyclic codes whose duals have three zeros are presented. The weight distributions of these cyclic codes are derived.

引用

页码：23 / 36

页数：14

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