电子学报2016，Vol.44Issue(11)：2807-2811,5.DOI:10.3969/j.issn.0372-2112.2016.11.034
环Z4上自对偶码的构造
A Method for Construction Self-dual Codes over Z4
摘要
Abstract
A Method for Construction self-dual codes over Z4 is proposed by using self-dual codes over the ring Z4 +vZ4 ,where v2 =1 .A Gray map from (Z4 +vZ4 )n to Z2n4 is introduced,and some properties about self-dual codes over Z4 +vZ4 are given.It showns that the Gray image of a self-dual code over Z4 +vZ4 of length n is a self-dual code over Z4 of length 2n.Further,some extremal Type I and Type Ⅱ codes over Z4 are constructed.关键词
Gray映射/线性码/自对偶码Key words
Gray map/linear codes/self-dual codes分类
信息技术与安全科学引用本文复制引用
袁健,朱士信,开晓山..环Z4上自对偶码的构造[J].电子学报,2016,44(11):2807-2811,5.基金项目
国家自然科学基金（No．61370089）；东南大学移动通信国家重点实验室开放研究基金（No．2014D04）；安徽省自然科学基金 （）
