A proof of a conjecture on trivariate permutations

October 30, 2024 · Declared Dead · 🏛 arXiv.org

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Authors Daniele Bartoli, Mohit Pal, Pantelimon Stanica, Tommaso Toccotelli arXiv ID 2410.23097 Category math.NT Cross-listed cs.IT, math.AG, math.CO Citations 0 Venue arXiv.org Last Checked 1 month ago
Abstract
In this note we show (for a large enough dimension of the underlying field) a conjecture of [C. Beierle, C. Carlet, G. Leander, L. Perrin, {\em A further study of quadratic APN permutations in dimension nine}, Finite Fields Appl. 81 (2022), 102049] on a trivariate permutation. This function is a global representation of two new sporadic quadratic APN permutations in dimension $9$ found by [C. Beierle, G. Leander, {\em New instances of quadratic APN functions}, IEEE Trans. Inf. Theory 68(1) (2022), 670--678].
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