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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...
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 ...
MOC
2010
12 years 11 months ago
Factorization with genus 2 curves
The elliptic curve method (ECM) is one of the best factorization methods available. It is possible to use hyperelliptic curves instead of elliptic curves but it is in theory slower...
Romain Cosset
IJNSEC
2010
247views more  IJNSEC 2010»
12 years 11 months ago
Hardware Implementation of Efficient Modified Karatsuba Multiplier Used in Elliptic Curves
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
Sameh M. Shohdy, Ashraf El-Sisi, Nabil A. Ismail