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Paper 2006/428

Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4

Lilya Budaghyan and Claude Carlet and Gregor Leander

Abstract

We exhibit an infinite class of almost perfect nonlinear quadratic binomials from $\mathbb{F}_{2^{n}}$ to $\mathbb{F}_{2^{n}}$ with $n=4k$ and $k$ odd. We prove that these functions are CCZ-inequivalent to known APN power functions when $k\ne 1$. In particular it means that for $n=12,20,28$, they are CCZ-inequivalent to any power function.

Metadata
Available format(s)
PDF PS
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Affine equivalenceAlmost bentAlmost perfect nonlinearCCZ-equivalenceDifferential uniformityNonlinearityS-boxVectorial Boolean function.
Contact author(s)
lilya @ science unitn it
History
2006-11-27: revised
2006-11-19: received
See all versions
Short URL
https://ia.cr/2006/428
License
Creative Commons Attribution
CC BY
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