A Characterization of Two-Weight Projective Cyclic Codes

被引：5
|
作者：
Feng, Tao [1 ,2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2015年 / 61卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cyclic code; two-weight code; projective code; Gauss sum; WEIGHT DISTRIBUTIONS;
D O I：
10.1109/TIT.2014.2366742
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give necessary conditions for a two-weight projective cyclic code to be the direct sum of two one-weight irreducible cyclic subcodes of the same dimension, following the work of Wolfmann and Vega. This confirms Vega's conjecture that all the two-weight cyclic codes of this type are the known ones in the projective case.
引用
收藏
页码：66 / 71
页数：6
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