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Paper 2007/063
Constructing new APN functions from known ones
Lilya Budaghyan and Claude Carlet and 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.
Note: In this version we add new results.
Metadata
- Available format(s)
- PDF PS
- Publication info
- Published elsewhere. submitted to FFA
- Keywords
- Affine equivalenceAlmost bentAlmost perfect nonlinearCCZ-equivalenceDifferential uniformityNonlinearityS-boxVectorial Boolean function
- Contact author(s)
- lilya @ science unitn it
- History
- 2007-05-23: revised
- 2007-02-20: received
- See all versions
- Short URL
- https://ia.cr/2007/063
- License
-
CC BY