Title :
On the Fundamental Structure of Galois Switching Functions
Author :
Benjauthrit, B. ; Reed, I.S.
Author_Institution :
Jet Propulsion Laboratory
Abstract :
It is shown in this paper that the fundamental structure of Galois switching functions follows naturally from that of Boolean switching functions. An expanded formula for deriving multinomial Galois switching functions is provided with illustrations of its application.
Keywords :
Boolean switching functions; Galois differences; Galois switching functions; finite field functions; generalized Reed-Muller expansion; multinomial expansion; multiple-valued logic; multivalued logic; polynomial expansion; Algebra; Galois fields; Laboratories; Logic functions; Multivalued logic; NASA; Polynomials; Propulsion; Boolean switching functions; Galois differences; Galois switching functions; finite field functions; generalized Reed-Muller expansion; multinomial expansion; multiple-valued logic; multivalued logic; polynomial expansion;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1978.1675185
