Paper 2013/617 Original: eprint.iacr.org/2013/617 ↗

Some results concerning global avalanche characteristics of two $q$-ary functions

Brajesh Kumar Singh
Abstract

The global avalanche characteristics criteria was first introduced by Zhou et al. (Inform. Sci. 180(2) (2010) 256-265). This article is concerned with some new bounds on global avalanche characteristics of two $q$-ary functions. Based on the above result we obtain a bound on $\sigma_{f}$ of $f \in \cB_{n, q}$ in terms of $\sigma_{f_{\ell}}'$s of the restricted functions on $\BBZ_{n-1}^q$, and construct a class of $q$-ary bent functions from $1$-plateaued functions having dijoint Walsh spectra.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2013-09-27: last updated
2013-09-27: published
Short URL
https://ia.cr/2013/617
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2013/617,
      author = {Brajesh Kumar Singh},
      title = {Some results concerning global avalanche characteristics of two $q$-ary functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/617},
      year = {2013},
      url = {https://eprint.iacr.org/2013/617}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.