%0 Journal Article
%T 环Fp+vFp上互补对偶常循环码<br>ON COMPLEMENTARY-DUAL CONSTACYCLIC CODES OVER Fp+vFp
%A 作者
%A 刘修生
%J 数学杂志
%D 2017
%X 本文研究了环Fp+vFp上互补对偶（1-2v）-常循环码.利用环Fp+vFp上（1-2v）-常循环码的分解式C=vC1-v ?（1-v）Cv，得到了环Fp+vFp上互补对偶（1-2v）-常循环码的生成多项式.然后借助从Fp+vFp到Fp2的Gray映射，证明了环Fp+vFp上互补对偶（1-2v）-常循环码的Gray像是Fp的互补对偶循环码.<br>In this paper, we investigate the complementary-dual (1-2v)-constacyclic codes over the ring Fp+vFp(v2=v), where p is a prime. Using the decomposition C=vC1-v ?(1-v)Cv of a (1-2v)-constacyclic code over Fp+vFp, we obtain generator polynomial of the complementarydual (1-2v)-constacyclic code C. Then by means of the Gray map from Fp+vFp to Fp2, we show that Gray images of complementary-dual (1-2v)-constacyclic codes over Fp + vFp are complementarydual cyclic codes over Fp
%K 互补对偶(1-2v)-常循环码 循环码 负循环码 常循环码 生成多项式&lt
%K br&gt
%K complementary-dual (1-2v)-constacyclic codes cyclic codes negacyclic codes constacyclic codes generator polynomials
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170504&flag=1