Mar 30, 2014 · Given g ( x ) ∈ F q , it is a differential function if and only if there exist a ∈ F q ∗ and f ( x ) ∈ F q such that g ( x ) = D a f ( x ) .

A lower bound and an upper bound on the number of differential functions over Fq are given and how to construct differential inverses of a given ...

Oct 22, 2024 · If there exist a function f and a F q * such that g (x) = f (x + a) - f (x), then we call g a differential function and call f a differential- ...

We present two criteria to decide whether a given g is a differential function. The set of the degrees of all differential functions over F q is determined.

Part of the Mathematics Commons. Scholar Commons Citation. Lappano, Stephen, "Some Results Concerning Permutation Polynomials over Finite Fields" (2016). USF.

Oct 21, 2023 · Article on Further results on the $$(-1)$$-differential uniformity of some functions over finite fields with odd characteristic, ...

Classical hypergeometric functions are well-understood. They are related to periods of algebraic varieties comb. identities and orthogonal poly.s.

The objective of this paper is to determine the differential spectrum of the power function x p 2 k − p k + 1 over F p n , where p is an odd prime, n , k , e ...

Jun 22, 2024 · Functions with low c-differential uniformity over finite fields, especially the PcN and APcN functions, have been widely investigated due to ...

Oct 21, 2023 · To the best of our knowledge, only a few permutation polynomials with low c-differential uniformity over finite fields have been studied.