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On Higher-order Correlation Immunity and Higher Nonlinearity for a Class of Boolean Functions
2016
DEStech Transactions on Engineering and Technology Research
In this paper, we study the higher-order correlation immunity and the higher nonlinearity of Boolean functions, which is constructed by dividing the set of n-variable independent into two parts. With the propagation of a Boolean function, we construct a class of Boolean functions with 1-order algebraic immunity and higher-order correlation immunity, and reveal the relationship between the correlation immunity and 1-degree annihilator of Boolean functions. Meanwhile, with the lowest algebraic
doi:10.12783/dtetr/iect2016/3810
fatcat:u2zwwqijfffn3j2qgzbhe3aj4q