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CRYPTO
2006
Springer
115views Cryptology» more  CRYPTO 2006»
13 years 11 months ago
The Number Field Sieve in the Medium Prime Case
Antoine Joux, Reynald Lercier, Nigel P. Smart, Fre...
CATS
1998
13 years 8 months ago
On Quadratic Polynomials for the Number Field Sieve
Brian Murphy, Richard P. Brent
SACRYPT
2009
Springer
176views Cryptology» more  SACRYPT 2009»
14 years 2 months ago
Optimization Strategies for Hardware-Based Cofactorization
Abstract. We use the specific structure of the inputs to the cofactorization step in the general number field sieve (GNFS) in order to optimize the runtime for the cofactorizatio...
Daniel Loebenberger, Jens Putzka
EUROCRYPT
2007
Springer
14 years 1 months ago
Non-wafer-Scale Sieving Hardware for the NFS: Another Attempt to Cope with 1024-Bit
Significant progress in the design of special purpose hardware for supporting the Number Field Sieve (NFS) has been made. From a practical cryptanalytic point of view, however, no...
Willi Geiselmann, Rainer Steinwandt
ASIACRYPT
2004
Springer
14 years 25 days ago
Sieving Using Bucket Sort
This paper proposes a new sieving algorithm that employs a bucket sort as a part of a factoring algorithm such as the number field sieve. The sieving step requires an enormous num...
Kazumaro Aoki, Hiroki Ueda