Welcome to the resource topic for 2012/127
Title:
Additive autocorrelation of some classes of cubic semi-bent Boolean functions
Authors: Deep Singh, Maheshanand Bhaintwal
Abstract:In this paper, we investigate the relation between the autocorrelation of a cubic Boolean function f\in \cB_n at a \in \BBF_{2^n} and the kernel of the bilinear form associated with D_{a}f, the derivative of f at a. Further, we apply this technique to obtain the tight upper bounds of absolute indicator and sum-of-squares indicator for avalanche characteristics of various classes of highly nonlinear non-bent cubic Boolean functions.
ePrint: https://eprint.iacr.org/2012/127
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