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.