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.