Vincenzo Pallozzi Lavorante

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20192025

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math.NT2022

A General Construction of Permutation Polynomials of $F_{q^{2}}$

Xiang-dong Hou, Vincenzo Pallozzi Lavorante

Let $r$ be a positive integer, $h (X) \in F_{q^{2}} [X]$ , and $μ_{q + 1}$ be the subgroup of order $q + 1$ of $F_{q^{2}}^{*}$ . It is well known that $X^{r} h (X^{q - 1})$ permutes $\Bbb F_{q…

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 $f (x) = x + a_{1} x^{s_{1} (2 m - 1) + 1} + a_{2} x^{s_{2} (2 m - 1) + 1} + a_{3} x^{s_{3} (2 m - 1) + 1}$ over $F_{2}^{2 m}$ 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…

A General Construction of Permutation Polynomials of Fq2​

On permutation quadrinomials from Niho exponents in characteristic two

New Results on Permutation Binomials of Finite Fields

A General Construction of Permutation Polynomials of $F_{q^{2}}$