Welcome to the resource topic for 2005/399
Title:
On affine rank of spectrum support for plateaued function
Authors: Yuriy Tarannikov
Abstract:The plateaued functions have a big interest for the studying of bent functions and by the reason that many cryptographically important functions are plateaued. In this paper we study the possible values of
the affine rank of spectrum support for plateaued functions. We consider for any positive integer h plateaued functions with a spectrum support of cardinality 4^h (the cardinality must have such form), give the bounds on the affine rank for such functions and
construct functions where the affine rank takes all integer values from 2h till 2^{h+1}-2. We solve completely the problem for h=2, namely, we prove that the affine rank of any plateaued function with a spectrum support of cardinality 16 is 4, 5 or 6.
ePrint: https://eprint.iacr.org/2005/399
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