Title : 
On a parallel extended Euclidean algorithm
         
        
            Author : 
Sedjelmaci, Sidi Mohammed
         
        
            Author_Institution : 
Inst. Galilee, Univ. de Paris-Nord, Villetaneuse, France
         
        
        
        
        
        
            Abstract : 
A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel Oeps(n/log n) using only n1+eps processors on a Priority CRCW PRAM, for any constant eps>0
         
        
            Keywords : 
computational complexity; mathematics computing; parallel algorithms; Priority CRCW PRAM; extended Euclidean GCD algorithm; greatest common divisor; parallel extended Euclidean algorithm; parallelization; Algorithm design and analysis; Arithmetic; Computational efficiency; Cryptography; Packaging; Phase change random access memory; Sections; Systolic arrays;
         
        
        
        
            Conference_Titel : 
Computer Systems and Applications, ACS/IEEE International Conference on. 2001
         
        
            Conference_Location : 
Beirut
         
        
            Print_ISBN : 
0-7695-1165-1
         
        
        
            DOI : 
10.1109/AICCSA.2001.933982