Asymptotic bounds for the affinity level for almost all Boolean functions

M. L. Buryakov · Discrete Mathematics and Applications · 2008

We consider the asymptotic behaviour of one of the parameters of the Boolean functions known as the affinity level. We show that almost all Boolean functions of n variables have the generalised affinity level exceeding n – α log 2 n , α > 1, obtain an asymptotic upper bound for the partial affinity level, consider the asymptotic behaviour of the affinity level for the quadratic Boolean functions.

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