数学
订单(交换)
交换性质
一般化
循环码
二进制数
格雷码
离散数学
组合数学
纯数学
线性码
区块代码
算法
数学分析
解码方法
算术
经济
财务
作者
Steven T. Dougherty,Abidin Kaya,Esengül Salturk
出处
期刊:Advances in Mathematics of Communications
[American Institute of Mathematical Sciences]
日期:2017-01-01
卷期号:11 (1): 99-114
被引量:5
摘要
We study cyclic codes over commutative local Frobenius rings of order 16 and give their binary images under a Gray map which is a generalization of the Gray maps on the rings of order 4. We prove that the binary images of cyclic codes are quasi-cyclic codes of index 4 and give examples of cyclic codes of various lengths constructed from these techniques including new optimal quasi-cyclic codes.
科研通智能强力驱动
Strongly Powered by AbleSci AI