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CHES
2007
Springer
136views Cryptology» more  CHES 2007»
13 years 10 months ago
CAIRN 2: An FPGA Implementation of the Sieving Step in the Number Field Sieve Method
The hardness of the integer factorization problem assures the security of some public-key cryptosystems including RSA, and the number field sieve method (NFS), the most efficient ...
Tetsuya Izu, Jun Kogure, Takeshi Shimoyama
CHES
2006
Springer
125views Cryptology» more  CHES 2006»
13 years 8 months ago
Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware
A novel portable hardware architecture of the Elliptic Curve Method of factoring, designed and optimized for application in the relation collection step of the Number Field Sieve,...
Kris Gaj, Soonhak Kwon, Patrick Baier, Paul Kohlbr...
EUROCRYPT
2007
Springer
13 years 10 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
FCCM
2005
IEEE
132views VLSI» more  FCCM 2005»
13 years 10 months ago
Hardware Factorization Based on Elliptic Curve Method
The security of the most popular asymmetric cryptographic scheme RSA depends on the hardness of factoring large numbers. The best known method for factorization large integers is ...
Martin Simka, Jan Pelzl, Thorsten Kleinjung, Jens ...