On construction of correlation-immune functions via minimal functions
نویسندگان
چکیده
منابع مشابه
Construction of correlation immune Boolean functions
It is shown in this paper that every correlation immune Boolean function of n variables can be written as f(x) = g(xG ), where 9 is an algebraic non-degenerate Boolean function of k (k :::; n) variables and G is a generating matrix of an tn, k, d] linear code. In this expression the correlation immunity of f(x) must be at least d 1. In this paper we further prove when the correlation immunity e...
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Construction of bent functions via Niho power functions
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متن کاملOn Nonlinearity and Autocorrelation Properties of Correlation Immune Boolean Functions
+ 2 2 2 2 2 2 n n and a maximum possible algebraic degree of n − 1. Moreover, we present a detailed study on the Walsh spectra of these functions. Next we study the autocorrelation values of correlation immune and resilient Boolean functions. We provide new lower bounds and related results on the absolute indicator and sum of square indicator of autocorrelation values for low orders of correlat...
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ژورنال
عنوان ژورنال: Математические вопросы криптографии
سال: 2018
ISSN: 2220-2617,2222-3193
DOI: 10.4213/mvk251