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| 摘要: |
| 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. |
| 关键词: 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 |
| DOI： |
| 分类号:O157.4 |
| 基金项目:Supported by Scientific Research Foundation of Hubei Provincial Education Department of China (D20144401) and the National Science Foundation of Hubei Polytechnic University of China (12xjz14A). |
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| ON COMPLEMENTARY-DUAL CONSTACYCLIC CODES OVER Fp+vFp |
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LIU Xiu-sheng
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| Abstract: |
| 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. |
| Key words: complementary-dual (1-2v)-constacyclic codes cyclic codes negacyclic codes constacyclic codes generator polynomials |
