Research on Two Kinds of Orthomorphic Permutation Polynomials over Finite Field F_(2n)
Jiangjiang Guo, Haoran Zheng · Jisuanji gongcheng · 2010
This paper researches on orthomorphic permutation polynomials over finite fields 2n.F It points out that there exist some questions about existence of orthomorphic permutation polynomials with degree 2d-1 and degree 2d over finite fields 2n.F By using the congruence theory and the distributive law of degrees for multiplying polynomials,the reasons are analyzed and the questions above are solved.Results of nonexistence of orthomorphic permutation polynomials with degree 2d-1 and existence of orthomorphic permutation polynomials with degree 2d over finite field 2nF are revised.