Daniele Bartoli

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20242026

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math.NT2026

Infinite families of APN permutations in constrained trivariate classes over $F_{2^{m}}$

Daniele Bartoli, Pantelimon Stanica

We study trivariate permutation polynomials over $F_{2^{m}}$ extending two APN permutation families of Li--Kaleyski (IEEE Trans. Inform. Theory, 2024) by allowing the scal…

math.NT2026

Non-permutation phenomena in trivariate families over $\F_{2^m}$ and resolution of a conjecture

Daniele Bartoli, Mohit Pal, Pantelimon Stanica +1

Constructing permutation polynomials over finite fields, particularly those with simple algebraic structure in multiple variables, is a fundamental problem with applications in cry…

math.NT2024

A proof of a conjecture on permutation trinomials

Daniele Bartoli, Mohit Pal, Pantelimon Stanica

In this paper we use algebraic curves and other algebraic number theory methods to show the validity of a permutation polynomial conjecture regarding $f(X)=X^{q(p-1)+1} +Î±X^{pq}+X…

Infinite families of APN permutations in constrained trivariate classes over F2m​

Non-permutation phenomena in trivariate families over $\F_{2^m}$ and resolution of a conjecture

A proof of a conjecture on permutation trinomials

Infinite families of APN permutations in constrained trivariate classes over $F_{2^{m}}$