Welcome to the resource topic for 2006/180
Title:
Divisibility of the Hamming Weight by 2^k and Monomial Criteria for Boolean Functions
Authors: Dmitry Khovratovich
Abstract:In this paper we consider the notions of the Hamming weight and the algebraic normal form. We solve an open problem devoted to checking divisibility of the weight by 2^k. We generalize the criterion for checking the evenness of the weight in two ways. Our main result states that for checking whether the Hamming weight of f is divisible by 2^k, \,k>1, it is necessary and sufficient to know its algebraic normal form accurate to an additive constant.
ePrint: https://eprint.iacr.org/2006/180
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