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arxiv: 1703.09080 · v2 · pith:OUX5TGX6new · submitted 2017-03-27 · 💻 cs.CR

On Some Properties of Quadratic APN Functions of a Special Form

classification 💻 cs.CR
keywords functionsformconditionsconstructionfamiliesgoodinfinitelinear
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In a recent paper, it is shown that functions of the form $L_1(x^3)+L_2(x^9)$, where $L_1$ and $L_2$ are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN.

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