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We consider the characteristic n ( k )  max (m), which is the maximum number of variables in a Boolean function of fixed weight m possessing no implicent of k variables. The obtained results on the structure of the set of satisfying vectors of such functions allow us to estimate and, in some cases, find exact values of n ( k )  max (m) for m &lt; 3·2  k-1  ,  k ≥ 3.

Estimation of the number of variables of Boolean functions of moderate weight containing no implicent of smaller length