Welcome to the resource topic for 2007/063
Title:
Constructing new APN functions from known ones
Authors: Lilya Budaghyan, Claude Carlet, Gregor Leander
Abstract:We present a method for constructing new quadratic APN functions from known ones. Applying this method to the Gold power functions we construct an APN function x^3+\tr(x^9) over \F_{2^n}. It is proven that in general this function is CCZ-inequivalent to the Gold functions (and therefore EA-inequivalent to power functions), to the inverse and Dobbertin mappings, and in the case n=7 it is CCZ-inequivalent to all power mappings.
ePrint: https://eprint.iacr.org/2007/063
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