On asymptotically optimal reliability schemes in some special bases

An article examines an implementation of the Boolean functions in the circuits with unreliable functional elements in complete finite $B$ basic sets, containing special functions. It is assumed that all the circuit elements irrespective of each other are subject to $0$ type failures at the outputs with the probability $\epsilon \in (0,1/2)$. The article proves that the circuits with asymptotically optimum reliability implement Boolean functions with the value of unreliability being equal $\epsilon$ when $\epsilon \to 0$. The present value of unreliability is twice lower in comparison with inverse failures at the outputs of the relevant basic sets' elements.