The Properties of Orthomorphisms on the Galois Field
نویسنده
چکیده
The orthomorphism on the Galois field is a kind of permutations that is the most widely used in crosscutting issue, the orthomorphic polynomials over the finite field is an effective method to study it, this study has obtained the coefficients relationship of the orthomorphisms over the Galois field by algebraic methods. In addition, this study have understood the maximal subgroup structure and counting in the Abelian group. It is help to in-depth study the application and the nature of the orthomorphism qua the theoretical support.
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