Welcome to the resource topic for 2012/283
Title:
Some properties of q-ary functions based on spectral analysis
Authors: Deep Singh, Maheshanand Bhaintwal
Abstract:In this paper, we generalize some existing results on Boolean functions to the q-ary functions defined over \BBZ_q, where q\geq 2 is an integer, and obtain some new characterization of q-ary functions based on spectral analysis. We provide a relationship between Walsh-Hadamard spectra of two p-ary functions f and g (for p a prime) and their derivative D_{f, g}. We provide a relationship between the Walsh-Hadamard spectra and the decompositions of any two p-ary functions. Further, we investigate a relationship between the Walsh-Hadamard spectra and the autocorrelation of any two q-ary functions.
ePrint: https://eprint.iacr.org/2012/283
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