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Published in:
2014 | OriginalPaper | Chapter
Cofactorization on Graphics Processing Units
Authors : Andrea Miele, Joppe W. Bos, Thorsten Kleinjung, Arjen K. Lenstra
Published in: Cryptographic Hardware and Embedded Systems – CHES 2014
Publisher: Springer Berlin Heidelberg
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We show how the cofactorization step, a compute-intensive part of the relation collection phase of the number field sieve (NFS), can be farmed out to a graphics processing unit. Our implementation on a GTX 580 GPU, which is integrated with a state-of-the-art NFS implementation, can serve as a
cryptanalytic co-processor
for several Intel i7-3770K quad-core CPUs simultaneously. This allows those processors to focus on the memory-intensive sieving and results in more useful NFS-relations found in less time.