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Almost Perfect Nonlinear (APN) functions are very useful in cryptography , when they are used as S-Boxes, because of their good resistance to differential cryptanalysis. An APN function f : F 2 n → F 2 n is called exceptional APN if it is APN on infinitely many extensions of F 2 n. Aubry, McGuire and Rodier conjectured that the only exceptional APN(More)
On the absolute irreducibility of hyperplane sections of generalized Fermat varieties in P 3 and the conjecture on exceptional APN functions: the Kasami-Welch degree case Abstract Let f be a function on a finite field F. The decomposition of the generalized Fermat variety X defined by the multivariate polynomial of degree n, φ(x, y, z) = f (x) + f (y) + f(More)
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