Characterization and the counting method for orthomorphic permutations
Li Zhi · Jounal of Xidian University · 2000
The concept of orthomorphic permutation polynomial is given and several properties about it are proved, on the basis of which we give characterization for orthomorphic permutations. Furthermore, it is shown that the number of all orthomorphic permutation is GF(2) m can be diveided by 2 m, and several expressions for the number of all orthomorphic permutation in GF(2) m are obtained. These results provide a new way for studying orthomorphic permutation.