Dickson Polynomials that are Involutions.
Résumé
Dickson polynomials which are permutations are interesting combinatorial objects
and well studied.
In this paper, we describe Dickson polynomials of the first kind
in $\F_2[x]$ that are involutions over finite fields of characteristic $2$. Such description is obtained using
modular arithmetic's tools. We give results related to the cardinality and the number of fixed points
(in the context of cryptographic application) of this corpus.
We also present infinite classes of Dickson involutions. We study Dickson involutions
which have a minimal set of fixed points.
| Origine | Fichiers produits par l'(les) auteur(s) |
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