On the reliability of schemes implementing functions from $P_3$

The article examines a realization of ternary logics functions by the circuits with unreliable functional element in base of Rosser - Turkett. It is assumed that probability of appearance of one incorrect meaning at the output of any basis element on every input vector equals , and, hence, probability of error equals 2. It is proved that any ternary logics function $f(x_1,...x_n)$ can be realized by the circuit with unreliability no more $6\epsilon + 420\epsilon^2$ for all $\epsilon \in (0,1/8*3^n*(2n+1)(13^n*4(2n+1)))$.