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arXiv · 2507.07337

An Equivalent Representation of Generalized Differentials

Valentin Suder
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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 $p$. 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.

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Valentin Suder. 2025-07-09. An Equivalent Representation of Generalized Differentials. https://arxiv.org/abs/2507.07337

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