Mathematics – Combinatorics
Scientific paper
2010-02-14
Mathematics
Combinatorics
16 pages. Submitted
Scientific paper
In \cite{D1}, Dickson listed all permutation polynomials up to degree 5 over an arbitrary finite field, and all permutation polynomials of degree 6 over finite fields of odd characteristic. The classification of degree 6 permutation polynomials over finite fields of characteristic 2 was left incomplete. In this paper we complete the classification of permutation polynomials of degree 6 over finite fields of characteristic 2. In addition, all permutation polynomials of degree 7 over finite fields of characteristic 2 are classified.
Chandler David B.
Li Jiyou
Xiang Qing
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