The usage of equalprobable functions with mutal implicantive covering of straight diameter in the problem of constructing bijective mapping $\Phi:V^r_2 \to V^r_2$

In this work the problem of construction of the bijective mapping $\Phi:V^r_2 \to V^r_2$ is studied. This bijective mapping has equiprobable functions possessing a special representation in the DNF- function with mutual implicative covering of the fixed diameter, as coordinate functions. The theorem about the class of functions with mutual implicative covering of the fixed diameter not being null, is proved. The lowest estimate of this class potency is derived. The result of a possibility of construction of a bijective mapping in case where diameter is $2$, is proved. There made some substitutions where diameter differs from $2$.