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**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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