Polynomial functions of degree 20 which are APN infinitely often.

We give all the polynomials functions of degree 20 which are APN over an infinity of field extensions and show they are all CCZ-equivalent to the function $x^5$, which is a new step in proving the conjecture of Aubry, McGuire and Rodier.

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Field Value
Source https://hal.science/hal-00766434
Author Caullery, Florian
Maintainer CCSD
Last Updated May 14, 2026, 23:27 (UTC)
Created May 14, 2026, 23:27 (UTC)
Identifier hal-00766434
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Arithmétique, Théorie de l'Information. ; Institut Mathématiques de Luminy (IML) ; Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)
creator Caullery, Florian
date 2012-12-18T00:00:00
harvest_object_id 4dda5bc6-5fb1-47b6-abd4-dfa13208622b
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-02T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1212.4638
set_spec type:UNDEFINED