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

Deep Singh; Maheshanand Bhaintwal

Paper 2012/127

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.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: Semi-bent Boolean functions Additive autocorrelation Welch functions
Contact author(s): deepsinghspn @ gmail com
History: 2012-03-13: received
Short URL: https://ia.cr/2012/127
License: 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},
      url = {https://eprint.iacr.org/2012/127}
}