Some properties of q-ary functions based on spectral analysis
نویسندگان
چکیده
In this paper, we generalize some existing results on Boolean functions to the q-ary functions defined over Zq, where q ≥ 2 is an integer, and obtain some new characterization of q-ary functions based on spectral analysis. We provide a relationship between WalshHadamard spectra of two p-ary functions f and g (for p a prime) and their derivative Df,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.
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عنوان ژورنال:
- IACR Cryptology ePrint Archive
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012