## CryptoDB

### Paper: Constructing new APN functions from known ones

Authors: Lilya Budaghyan Claude Carlet Gregor Leander URL: http://eprint.iacr.org/2007/063 Search ePrint Search Google 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.
##### BibTeX
@misc{eprint-2007-13345,
title={Constructing new APN functions from known ones},
booktitle={IACR Eprint archive},
keywords={Affine equivalence, Almost bent, Almost perfect nonlinear, CCZ-equivalence, Differential uniformity, Nonlinearity, S-box, Vectorial Boolean function},
url={http://eprint.iacr.org/2007/063},
note={submitted to FFA lilya@science.unitn.it 13656 received 19 Feb 2007, last revised 23 May 2007},
author={Lilya Budaghyan and Claude Carlet and Gregor Leander},
year=2007
}