Many-to-many linear-feedback shift register

There are both the one-to-many and many-to-one types of linear-feedback shift registers. In this paper we filled the gap between them. Our linear-feedback shift register has many-to-many configuration. It generates the Galois field different from finite field formed Galois linear-feedback shift register. We consider inference for appropriate primitive polynomial. Our principle can be implemented very efficiently on common microprocessors.