Title :
Many-to-many linear-feedback shift register
Author :
Krivenko, Sergey S. ; Krivenko, Stanislaw A.
Author_Institution :
Networks Dept., Aviation Nat. Univ. (KhAI), Kharkov, Ukraine
Abstract :
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.
Keywords :
Galois fields; circuit feedback; microprocessor chips; polynomials; shift registers; Galois finite field; Galois linear-feedback shift register; many-to-many linear-feedback shift register; many-to-one linear-feedback shift register; microprocessor; one-to-many linear-feedback shift register; primitive polynomial; Automata; Conferences; Finite element analysis; Galois fields; Polynomials; Shift registers; Fibonacci LFSR; Galois field; abstract algebra; finite field; linear-feedback shift register (LFSR); state machine;
Conference_Titel :
Electronics and Nanotechnology (ELNANO), 2014 IEEE 34th International Conference on
Conference_Location :
Kyiv
Print_ISBN :
978-1-4799-4581-8
DOI :
10.1109/ELNANO.2014.6873939
