Self-Dual Permutation Codes over F₂+vF₂

Abstract

Self-dual permutation codes over 2 2 F vF  are studied in this paper. The relationship of the existence of self-dual permutation codes over 2 2 F vF  and the existence of self-dual permutation codes over the binary field 2 F are obtained. Finally, a necessary and sufficient condition and a sufficient condition for the existence of self-dual permutation codes over 2 2 F vF  are given under some group theoretical conditions.