3 papers
cs.IT2026
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…
cs.CR2025
Extended Differential Cryptanalysis of Kuznyechik
Pantelimon Stanica, Ranit Dutta, Bimal Mandal
We study the input-side relation as an extended differential for block-cipher analysis. Because multiplication occurs before the first S-box, fixing th…
cs.DM2023
Rayleigh quotients of Dillon's functions
Aditi Kar Gangopadhyay, Mansi, Bimal Mandal +2
The Walsh--Hadamard spectrum of a bent function uniquely determines a dual function. The dual of a bent function is also bent. A bent function that is equal to its dual is called a…