5 papers
Reduced APN permutations and a disproof of the Galois-ring lifting conjecture
Daniele Bartoli, Pantelimon Stanica
We construct infinite families of reduced almost perfect nonlinear (APN) permutations of that admit coefficientwise permutation lifts to for…
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…
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^…
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…