Daniele Bartoli

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20242026

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math.NT2026

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 $F_{2^{m}}$ that admit coefficientwise permutation lifts to $GR (2^{k}, m)$ for…

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…

Reduced APN permutations and a disproof of the Galois-ring lifting conjecture

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

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