Weight distributions of cyclic self-dual codes

被引：43
|
作者：
Nedeloaia, CS [1 ]
机构：
[1] Univ Limoges, LACO, F-87060 Limoges, France
[2] INRIA, Projet CODES, F-78153 Le Chesnay, France
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2003年 / 49卷 / 06期
关键词：
cyclic codes; self-dual codes; shadow codes; squaring construction; vertical bar u vertical bar u plus v vertical bar construction; weight enumerator;
D O I：
10.1109/TIT.2003.811921
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 a 1-level squaring construction for binary repeated-root cyclic codes of length n = 2(a)b, a greater than or equal to 1, b odd. This allows us to obtain the weight distributions of all cyclic binary self-dual codes of lengths up to 110, which are not accessible by direct computation. We also use the shadow construction, as a particular method for Type I self-dual codes.
引用
收藏
页码：1582 / 1591
页数：10
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