International Association
for Cryptologic Research

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.