Miele, AndreaBos, Joppe W.Kleinjung, ThorstenLenstra, Arjen K.2014-12-302014-12-302014-12-30201410.1007/978-3-662-44709-3_19https://infoscience.epfl.ch/handle/20.500.14299/109526WOS:000345071700019We 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.CofactorizationGraphics Processing UnitNumber Field Sievetext::conference output::conference proceedings::conference paper