Title :
The generation circulation method to generalized reed-muller coefficients over GF(3)
Author :
Lee, Chol U. ; Byun, Gi-Young ; Shin, Bu-Sik ; Sim, Jae-Hwan ; Kim, Heung-Soo
Author_Institution :
Dept. of Electron. Eng., Inha Univ., Inchon, South Korea
Abstract :
This paper propose the circulation method to generate GRM coefficient over GF(3). The general method to derive GRM coefficients are obtain RM expansion for the function and expand it for the polarities. The general method has many operations when the number of the variable is increased. Proposed method of this paper simplifies the generation process and reduces a number of operations compare to parallel type because of the cyclic property of polarity. To verify propriety of this method, previous proposed paper is compared in the number of operations.
Keywords :
Galois fields; decision diagrams; multivalued logic; generalized Reed-Muller coefficients; generation circulation method; polarity circulation; Differential equations; Educational institutions; Input variables; Internet; Logic; Transforms;
Conference_Titel :
Multiple-Valued Logic, 2003. Proceedings. 33rd International Symposium on
Print_ISBN :
0-7695-1918-0
DOI :
10.1109/ISMVL.2003.1201383