## On the irreducibility of the hyperplane sections of Fermat varieties in ℙ 3 $\mathbb {P}^{3}$ in characteristic 2. II

- Eric Férard
- Cryptography and Communications
- 2017

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@article{Delgado2012OnTC, title={On the Conjecture on APN Functions}, author={Moises Delgado and Heeralal Janwa}, journal={CoRR}, year={2012}, volume={abs/1207.5528} }

- Published 2012 in ArXiv

An almost perfect nonlinear (APN) function (necessarily a polynomial function) on a finite field F is called exceptional APN, if it is also APN on infinitely many extensions of F. In this article we consider the most studied case of F = F2n. A conjecture of Janwa-Wilson and McGuire-Janwa-Wilson (1993/1996), settled in 2011, was that the only exceptional monomial APN functions are the monomials x, where n = 2 + 1 or n = 2 − 2 + 1 (the Gold or the Kasami exponents respectively). A subsequent… CONTINUE READING

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