Cyclic and negacyclic codes over finite chain rings

被引：307
|
作者：
Dinh, HQ
López-Permouth, SR
机构：
[1] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA
[2] Ohio Univ, Dept Math, Athens, OH 45701 USA
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2004年 / 50卷 / 08期
关键词：
chain rings; cyclic codes; dual codes; linear codes; negacyclic codes; repeated-root negacyclic codes; self-dual codes;
D O I：
10.1109/TIT.2004.831789
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The structures of cyclic and negacyclic codes of length n and their duals over a finite chain ring (R) over bar are established when n is not divisible by the characteristic of the residue field (R) over bar. Some cases where n is divisible by the characteristic of the residue field (R) over bar are also considered. Namely, the structure of negacyclic codes of length 2(t) over Z(2m) and that of their duals are derived.
引用
收藏
页码：1728 / 1744
页数：17
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