Geodesic
On permutation polynomials whose difference is linear
Glasgow mathematical journal, Tome 32 (1990) no. 2, pp. 165-171

Voir la notice de l'article provenant de la source Cambridge University Press

Let q be a power of a prime p, and let Sqbe the set of permutations of {0, 1,..., q – 1). As Sq is isomorphic to the group of permutations of Fq, the field of q elements, each element of 5, can be regarded as a polynomial over Fq. Various authors (e.g. [1], [2], [3]) have considered functions f(x) such thatf(x) ∈ Sq, and (f(x) + λ×) ∈ Sqfor some λ ∈ Fq when λ = 1, f(x) is a complete mapping polynomial ([3]). 
Stothers, W. W. On permutation polynomials whose difference is linear. Glasgow mathematical journal, Tome 32 (1990) no. 2, pp. 165-171. doi: 10.1017/S0017089500009186
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[1] 1.Dickson, L. E., Linear Groups (Dover, 1958). Google Scholar

[2] 2.Mullen, G. and Niederreiter, H., The structure of a group of permutation polynomials, J. Austral. Math. Soc. Ser. A 38 (1985), 164–170. Google Scholar | DOI

[3] 3.Niederreiter, H. and Robinson, K. H., Complete mappings of finite fields, J. Austral. Math. Soc. Ser. A 33 (1982), 197–212. Google Scholar | DOI

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