On a conjecture on APN permutations

Daniele Bartoli; Marco Timpanella

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arXiv · 2105.03702

On a conjecture on APN permutations

Daniele Bartoli·Marco Timpanella

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Abstract

The single trivariate representation proposed in [C. Beierle, C. Carlet, G. Leander, L. Perrin, A Further Study of Quadratic APN Permutations in Dimension Nine, arXiv:2104.08008] of the two sporadic quadratic APN permutations in dimension 9 found by Beierle and Leander \cite{Beierle} is further investigated. In particular, using tools from algebraic geometry over finite fields, we prove that such a family does not contain any other APN permutation for larger dimensions.

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Daniele Bartoli, Marco Timpanella. 2021-05-08. On a conjecture on APN permutations. https://arxiv.org/abs/2105.03702

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