On three weights in cyclic codes with two zeros

被引：36
作者：
McGuire, G [1 ]
机构：
[1] Natl Univ Ireland, Dept Math, Maynooth, Kildare, Ireland
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2004年 / 10卷 / 01期
关键词：
three weight; cyclic code; two zeros;
D O I：
10.1016/S1071-5797(03)00045-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the dual code of the binary cyclic code of length 2(m) - 1 with two zeros alpha, alpha(d) cannot have three weights in the case that m is even and d equivalent to 0 (mod 3). The proof involves the partial calculation of a coset weight distribution. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：97 / 104
页数：8
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