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

Brajesh Kumar Singh

Paper 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. MINOR revision.
Contact author(s): bksingh0584 @ gmail com
History: 2013-09-27: received
Short URL: https://ia.cr/2013/617
License: CC BY

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},
      note = {\url{https://eprint.iacr.org/2013/617}},
      url = {https://eprint.iacr.org/2013/617}
}