14 papers
A Post-Quantum Secure Lattice-Based Forward-Secure Identity Based Encryption with Applications to Internet of Things Architecture
Abhishek Kumar, Vikas Srivastava, Sumit Kumar Debnath +1
The rapid expansion of the Internet of Things (IoT) has led to an unprecedented scale of data exchange across heterogeneous and resource-constrained devices. Ensuring confidentiali…
On the hull of linearized polynomial codes
Daniele Bartoli, Giovanni Giuseppe Grimaldi, Pantelimon StÄnicÄ
Motivated by entanglement-assisted quantum error-correcting codes, where the hull dimension determines the number of required pre-shared entangled pairs, we study hulls of two fami…
Overconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functions
Ayça ÃeÅmelioÄlu, Constanza Riera, Pantelimon StÄnicÄ
Generalized bent (gbent) functions from an -variable Boolean space to are central in cryptography and sequence design. Instead of the usual binary decompositi…
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…
Permutation Polynomials Under Multiplicative-Additive Perturbations: Characterization via Difference Distribution Tables
Ranit Dutta, Pantelimon Stanica, Bimal Mandal
We investigate permutation polynomials F over finite fields F_{p^n} whose generalized derivative maps x -> F(x + a) - cF(x) are themselves permutations for all nonzero shifts a. Th…
On the Classification of Dillon's APN Hexanomials
Daniele Bartoli, Giovanni Giuseppe Grimaldi, Pantelimon Stanica
We systematically analyze a class of hexanomial functions over finite fields of characteristic proposed by Dillon (2006) as candidates for almost perfect nonlinear (APN) functi…