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arxiv: 1812.03594 · v2 · pith:2PFQI7VKnew · submitted 2018-12-10 · 💻 cs.IT · math.IT

New Perfect Nonlinear Functions over Finite Fields

classification 💻 cs.IT math.IT
keywords nonlinearperfectfunctionsadditionccz-inequivalentclassdembowski-ostromfields
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In this paper we present a new class of perfect nonlinear %Dembowski-Ostrom polynomials over $\mathbb{F}_{p^{2k}}$ for any odd prime $p$. In addition, we show that the new perfect nonlinear functions are CCZ-inequivalent to all the previously known perfect nonlinear functions in general.

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