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math.NT2021
On permutation quadrinomials from Niho exponents in characteristic two
Vincenzo Pallozzi Lavorante
In a recent paper Zheng et al. characterized the coefficients of over that lead $ f…
math.NT2021
New Results on Permutation Binomials of Finite Fields
Xiang-dong Hou, Vincenzo Pallozzi Lavorante
After a brief review of existing results on permutation binomials of finite fields, we introduce the notion of equivalence among permutation binomials (PBs) and describe how to bri…
math.CO2021
New families of permutation trinomials constructed by permutations of
Vincenzo Pallozzi Lavorante
Permutation polynomials are of particular significance in several areas of applied mathematics, such as Coding theory and Cryptography. Many recent constructions are based on the A…
math.CO2021
External points to a conic from a Baer subplane
Vincenzo Pallozzi Lavorante
For an irreducible conic in a Desarguesian plane of odd square order, estimating the number of points from a Baer subplane which are external to is a natu…