Dickson polynomials that are involutions
Pascale Charpin, Sihem Mesnager, Sumanta Sarkar · WORLD SCIENTIFIC eBooks · 2016
Dickson polynomials which are permutations are interesting combinato-rial objects and well studied. In this paper, we describe Dickson polynomials of the first kind in F2[x] that are involutions over finite fields of character-istic 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 a class of Dickson involutions with high degree.