Abstract
In this paper, using the derivative of the Boolean function and the e-derivative defined by ourselves as research tools, we discuss the cryptographic properties of H Boolean function with Hamming weight of 2nï€1 2nï€2  . We get the result that studying the algebraic immunity and the correlation immunity of this class of H Boolean functions has critical influence on the study of a large number of H Boolean functions within all Hamming weight range, which is a essential basis of studying cryptographic properties of Balanced H Boolean functions, Bent functions and other H Boolean functions.
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