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