4 papers
Infinite families of APN permutations in constrained trivariate classes over
Daniele Bartoli, Pantelimon Stanica
We study trivariate permutation polynomials over extending two APN permutation families of Li--Kaleyski (IEEE Trans. Inform. Theory, 2024) by allowing the scal…
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…
On APN functions in odd characteristic, the disproof of a conjecture and related problems
Daniele Bartoli, Pantelimon Stanica
In this paper disprove a conjecture by Pal and Budaghyan (DCC, 2024) on the existence of a family of APN permutations, but showing that if the field's cardinality is larger tha…
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} +αX^{pq}+X…