The Hamming distances of negacyclic codes of length 2s over GR (2a, m)

被引：4
|
作者：
Zhu, Shixin [1 ]
Kai, Xiaoshan [1 ]
机构：
[1] Hefei Univ Technol, Dept Appl Math, Hefei 230009, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2008年 / 21卷 / 01期
基金：
中国国家自然科学基金;
关键词：
gray map; Hamming distances; Hamming weights; negacyclic codes;
D O I：
10.1007/s11424-008-9066-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Hamming distances of all negacyclic codes of length 2(s) over the Galois ring GR (2(a), m) are given. In particular, the Lee distances of all negacyclic codes over Z(4) of length 2(s) are obtained. The Gray images of such negacyclic codes over Z4 are also determined under the Gray map.
引用
收藏
页码：60 / 66
页数：7
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