Title :
A Study on Constructing the Arithmetic Unit over GF(3m)
Author :
Park, Chun-Myoung ; Kim, Chee-Yong
Abstract :
In this paper, we presented a method of constructing a multiplier over finite field GF(3m). We proposed the multiplication and mod F(X) arithmetics at the same time. The proposed multiplier is composed as following parts. There are multiplication part, data assortment part, Pj term accumulation and sequential selection part, descending order mod F(X) generation part and multiplication processing part. Especially, the proposed multiplier have regularity, expansibility and modularity of circuit design.
Keywords :
Galois fields; digital arithmetic; GF(3m); arithmetic unit; data assortment; descending order mod generation; finite field; mod arithmetics; multiplication arithmetics; multiplication processing; sequential selection; term accumulation; Circuit synthesis; Computer Society; Digital arithmetic; Digital audio players; Galois fields; Logic; Polynomials; Finite Fields; Multiplier;
Conference_Titel :
TENCON 2005 2005 IEEE Region 10
Conference_Location :
Melbourne, Qld.
Print_ISBN :
0-7803-9311-2
Electronic_ISBN :
0-7803-9312-0
DOI :
10.1109/TENCON.2005.301306
