Title : 
Systolic design of a new finite field division/inverse algorithm
         
        
            Author : 
Conway, Richard ; Nelson, John
         
        
            Author_Institution : 
Dept. of Electron. and Comput. Eng., Limerick Univ., Ireland
         
        
        
        
        
        
            Abstract : 
A systolic architecture of a newly developed algorithm for performing division and inversion over GF(2m) has been successfully realized. It is novel in that the normal inverse/multiplication steps are integrated and the generator polynomial is selectable. The new design with its inherent regularity offers an expandable, fully pipelined high performance circuit, that is very suitable to a VLSI implementation. A GF(28) divider has been successfully implemented under the EUROCHIP program
         
        
            Keywords : 
VLSI; computational complexity; dividing circuits; pipeline arithmetic; systolic arrays; EUROCHIP program; GF(2m); VLSI implementation; finite field division/inverse algorithm; fully pipelined high performance circuit; generator polynomial; regularity; systolic architecture; Algorithm design and analysis; Circuits; Equations; Galois fields; Matrices; Optical signal processing; Polynomials; Reed-Solomon codes; Signal processing algorithms; Very large scale integration;
         
        
        
        
            Conference_Titel : 
Application-Specific Array Processors, 1993. Proceedings., International Conference on
         
        
            Conference_Location : 
Venice
         
        
        
            Print_ISBN : 
0-8186-3492-8
         
        
        
            DOI : 
10.1109/ASAP.1993.397142