Welcome to the resource topic for 2005/359
Title:
An infinite class of quadratic APN functions which are not equivalent to power mappings
Authors: L. Budaghyan, C. Carlet, P. Felke, G. Leander
Abstract:We exhibit an infinite class of almost
perfect nonlinear quadratic polynomials from \mathbb{F}_{2^n} to
\mathbb{F}_{2^n} (n\geq 12, n divisible by 3 but not by 9).
We prove that these functions are EA-inequivalent to any power
function. In the forthcoming version of the present paper we will
proof that these functions are CCZ-inequivalent to any Gold
function and to any Kasami function, in particular for n=12,
they are therefore CCZ-inequivalent to power functions.
ePrint: https://eprint.iacr.org/2005/359
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