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Relative Difference sets from Almost Perfect Nonlinear Fu...
Zeying Wang · 2026-03-11 · via math.CO updates on arXiv.org

In this paper we explore a connection between certain Almost Perfect Nonlinear Functions (APN functions) and relative difference sets. In particular, we show that the image set of certain 2-to-1 APN functions is a relative difference set. Through a result of Pott this further provides a connection between APN functions and bent functions.