环Fp+vFp上互补对偶常循环码
ON COMPLEMENTARY-DUAL CONSTACYCLIC CODES OVER Fp+vFp

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.
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