Dickson Polynomials that are Permutations
Dickson Polynomials that are Permutations
Based on a new approach the author gives another proof of S. D. Cohen's theorem for Dickson polynomials which permute the elements of a finite field of cardinality \(p^2\) [see \textit{S. D. Cohen}, ``Dickson permutations'', Alf J. van der Poorten (ed.) et al., Proceedings of the international conference on number theoretic and algebraic methods in computer science, NTAMCS '93, Moscow, Russia, June/July 1993. Singapore: World Scientific, 29--51 (1995; Zbl 0924.11015)]. The chosen approach makes the proof more transparent and capable of generalization.
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
Permutation Polynomial, Dickson polynomials, Gröbner Basis, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Gröbner basis, Dickson Polynomial, permutation polynomial, Polynomials over finite fields
Permutation Polynomial, Dickson polynomials, Gröbner Basis, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Gröbner basis, Dickson Polynomial, permutation polynomial, Polynomials over finite fields
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