Differential uniformity and non-linearity of functions are the properties of great interest in
cryptographic world. In this article, both the properties have been explored when the function …

In 2016, Y. Kumar et al. in the paper 'Affine equivalence and non-linearity of permutations
over Z n'conjectured that: For n≥ 3, the nonlinearity of any permutation on Z n, the ring of …

A class of permutations on $${\mathbb {Z}}_{p}$$ with differential uniformity at most 3 | Designs,
Codes and Cryptography Skip to main content Springer Nature Link Account Menu Find a …

In this paper, we propose a construction of permutations on Z 2 n having high nonlinearity by
taking two highly nonlinear permutations on Z n, where n is odd. For n being prime, we …

The notion of c-differential uniformity was proposed by Ellingsen et al., which generalizes
the classical differential uniformity measuring the resistance against differential …