[Resource Topic] 2013/617: Some results concerning global avalanche characteristics of two $q$-ary functions

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

Authors: 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.

ePrint: https://eprint.iacr.org/2013/617

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