Synthesis of independent automatic machines of generating of optimum nonlinear recurrent sequences of the set duration

This article continues and develops the concept of generating of the nonlinear recurrent sequences (NRS), considered in works [7, 8]. But work [2] does not allow to answer a question: how to generate NRS with the set properties, including optimum, though opens ample opportunities on use of such automatic machines for direct generating optimum on NRS properties of any kinds and durations. The answer on raised the question this article considering theoretical bases of synthesis methods, and directly methods of synthesis and ensuring generating of sequences of the set durations and properties, isomorphic and automorphic the NRS transformations also gives.