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C. Martinez-Perez, W. Willems. Self-dual extended cyclic codes. Applicable Algebra in Engineering, Communication and Computing, 2006, 17(1): 1-16.

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• 标题: 环F2+vF2上的自对偶置换码Self-Dual Permutation Codes over F2+vF2

  作者: 张光辉

  关键字: F2+vF2, 自对偶置换码, Gray映射F2+vF2 ; Self-Dual Permutation Code; Gray Map

  期刊名称: 《Pure Mathematics》, Vol.2 No.4, 2012-11-01

  摘要: 利用Gray映射，研究了环F2+vF2上的自对偶置换码，把环F2+vF2上自对偶置换码的研究归结到二元域上自对偶置换码的研究。依据群论条件，给出了环F2+vF2上自对偶置换码存在的一个充要条件和一个充分条件。 Self-dual permutation codes overF2+vF2are studied in this paper. The relationship of the existence of self-dual permutation codes over F2+vF2and the existence of self-dual permutation codes over the binary fieldF2are obtained. Finally, a necessary and sufficient condition and a sufficient condition for the existence of self-dual permutation codes overF2+vF2are given under some group theoretical conditions.