A Class of Weightwise Almost Perfectly Balanced Boolean Functions with High Weightwise Nonlinearity

ePrint Report: A Class of Weightwise Almost Perfectly Balanced Boolean Functions with High Weightwise Nonlinearity

Deepak Kumar Dalai, Krishna Mallick

A Boolean function with good cryptographic properties over a set of vectors with constant Hamming weight is significant for stream ciphers like FLIP [MJSC16]. This paper presents a construction weightwise almost perfectly balanced (WAPB) Boolean functions by perturbing the support vectors of a highly nonlinear function in the construction presented in [DM]. As a result, the nonlinearity and weightwise nonlinearities …

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