环F2+vF2上的自对偶置换码
Self-Dual Permutation Codes over F2+vF2
DOI: 10.12677/PM.2012.24037, PDF, HTML, 下载: 3,206  浏览: 11,833 
作者: 张光辉*：洛阳师范学院数学科学学院
关键词: F2+vF2 ；自对偶置换码；Gray映射；F2+vF2 ; Self-Dual Permutation Code; Gray Map
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。
Abstract: Self-dual permutation codes over  F2+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 field  F2 are obtained. Finally, a necessary and sufficient condition and a sufficient condition for the existence of self-dual permutation codes over  F2+vF2are given under some group theoretical conditions.
文章引用：张光辉. 环F2+vF2上的自对偶置换码[J]. 理论数学, 2012, 2(4): 243-248. http://dx.doi.org/10.12677/PM.2012.24037

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