Complete classification of (delta+alpha u^2-constacyclic codes over F_2^m{u}/[u^4] of oddly even length
Complete classification of (delta+alpha u^2-constacyclic codes over F_2^m{u}/[u^4] of oddly even length
复制标题
奇偶长度 F_2^m{u}/[u^4] 上 (delta alpha u^2-常循环码的完整分类
DOI：
10.1016/j.disc.2017.08.002
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发表时间：
2017
影响因子：
0.8
通讯作者：
Ma Fanghui
中科院分区：
文献类型：
--
作者：
Cao Yuan;Cao Yonglin;Ma Fanghui
设F2 m是基数为2 m的有限域，R= F2 m [u] scin< u 4>，n是正奇整数.对任意δ，α∈ F2 m×，环R [x] scin <x2 n−（δ+ α u2）>的理想被确定为R上长为2n的（δ+ α u2）-常循环码.本文给出了R上所有长度为2n的不同（δ+ α u2）-常循环码的一个显式表示和计数.
Let F 2 m be a finite field of cardinality 2 m, R= F 2 m [u]∕< u 4> and n be an odd positive integer. For any δ, α∈ F 2 m×, ideals of the ring R [x]∕< x 2 n−(δ+ α u 2)> are identified as (δ+ α u 2)-constacyclic codes of length 2 n over R. In this paper, an explicit representation and enumeration for all distinct (δ+ α u 2)-constacyclic codes of length 2 n over R are presented.