### Additive autocorrelation of some classes of cubic semi-bent Boolean functions

Deep Singh and 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.

Available format(s)
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Contact author(s)
deepsinghspn @ gmail com
History
Short URL
https://ia.cr/2012/127

CC BY

BibTeX

@misc{cryptoeprint:2012/127,
author = {Deep Singh and Maheshanand Bhaintwal},
title = {Additive autocorrelation of some classes of cubic semi-bent Boolean functions},
howpublished = {Cryptology ePrint Archive, Paper 2012/127},
year = {2012},
note = {\url{https://eprint.iacr.org/2012/127}},
url = {https://eprint.iacr.org/2012/127}
}

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