%0 Journal Article
%T A Note on the Constructions of Orthomorphic Permutations
%A Jianqin Zhou
%J International Journal of Network Security
%D 2010
%I Femto Technique
%X Orthomorphic permutations have important applications in the design of block ciphers. A practical algorithm is derived to generate all orthomorphic permutations over F^m_2, and it is verified that the number of all orthomorphic permutations over F^4_2 is 244,744,192. With the theory of finite fields, a brief method is derived to generate a permutation polynomial corresponding to every permutation over F^m_2, and all orthomorphic permutation polynomials over F^4_2 are analyzed.
%K Block cipher
%K orthomorphic permutation
%K polynomial
%U http://ijns.femto.com.tw/download_paper.jsp?PaperID=IJNS-2007-09-15-1&PaperName=ijns-v10-n1/ijns-2010-v10-n1-p57-61.pdf