线性补对偶拟扭转码  

QUASI-TWISTED LINEAR COMPLEMENTARY-DUAL CODES

作　　者：姚宇 马月娜[1] 吕京杰 陈璇 Yao Yu;Ma Yuena;LüJingjie;Chen Xuan(Department of Basic Sciences,Air Force Engineering University,Xi’an 710051,Shaanxi,China)

机构地区：[1]空军工程大学基础部,陕西西安710051

出　　处：《计算机应用与软件》2024年第10期357-361,共5页Computer Applications and Software

基　　金：国家自然科学基金项目(11801564,11901579);空军工程大学基础部创新基金项目。

摘　　要：Saleh等在期刊Journal of Applied Mathematics and Computing的第56卷第1期上发表论文“On complementary dual qusai-twist codes”[20],证明了拟扭转码在一定条件下是线性补对偶码(LCD码)。对其中的四个关键性定理进行修正与完善,进一步给出拟扭转码是LCD的充分条件,并由此构造出许多具有优良参数的LCD码。Saleh et al.published"On complementary dual qusai-twisted codes"in the first issue of Volume 56 of the important academic journal"Journal of Applied Mathematics and Computing",which proved that quasi-twisted codes are linear complementary dual(LCD)codes under certain conditions.We corrected and improved the four vital theorems,derived a sufficient condition which quasi-twisted codes are LCD,and thus constructed many LCD codes with good parameters.

关 键 词：线性码 拟扭转码 线性补对偶码 

分 类 号：O157.4[理学—数学]