An Equivalent Representation of Generalized Differentials
Number Theory
2025-07-11 v1 Discrete Mathematics
Abstract
We propose an equivalent formula for the higher-order derivatives used in the study of Generalized Almost Perfect Nonlinear functions over an arbitrary finite field of characteristic . The result is obtained by counting the number of subsets of the prime field with a fixed cardinality for which the sum of their elements is constant. We then ask related questions regarding the diversity of higher-order derivatives.
Cite
@article{arxiv.2507.07337,
title = {An Equivalent Representation of Generalized Differentials},
author = {Valentin Suder},
journal= {arXiv preprint arXiv:2507.07337},
year = {2025}
}