Cryptology ePrint Archive: Report 2011/416

Efficient Parallelization of Lanczos Type Algorithms

Ilya Popovyan

Abstract: We propose a new parallelization technique for Lanczos type algorithms for solving large sparse linear systems over finite fields on mesh cluster architecture. The algorithm computation time scales as $P^{-1}$ on $P processors, and the communcation times scales as $P^{-1/2}$ for reasonable choice of $P$.

Category / Keywords: number field sieve, parallel sparse linear system solver

Date: received 2 Aug 2011

Contact author: poilyard at gmail com

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Version: 20110805:134555 (All versions of this report)

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