О приближении случайной булевой функции множеством квадратичных форм

We consider the problem of approximation of a random Boolean function by elements of the set of all Boolean functions of degree no greater than two, i.e., by the quadratic forms. It is proved that the Hamming distance from a random Boolean function of $n$ variables to the set of all quadratic forms has in limit as $n\to\infty$ the double exponential distribution.