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Integer factorization records
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#	Item
1	A kilobit special number field sieve factorization Kazumaro Aoki1 , Jens Franke2 , Thorsten Kleinjung2 , Arjen K. Lenstra3 , and Dag Arne Osvik3 1 2 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2007-05-31 05:26:07 Special number field sieve Integer factorization General number field sieve Factorization RSA Lenstra elliptic curve factorization Factor base Quadratic sieve Integer factorization records Integer factorization algorithms Cryptography Mathematics
2	Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware Kris Gaj1 , Soonhak Kwon2 , Patrick Baier1 , Paul Kohlbrenner1 , Hoang Le1 , Mohammed Khaleeluddin1 , Ramakrishna Bachimanchi1 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2009-03-05 01:42:52 Finite fields Computer arithmetic Group theory Lenstra elliptic curve factorization Elliptic curves Elliptic curve Montgomery reduction Division ECM Records Abstract algebra Integer factorization algorithms Mathematics
3	SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , and Colin Stahlke3 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 General number field sieve Numbers Lattice sieving Integer factorization records Sieve TWIRL Factor base Mesh Dynamic random-access memory Integer factorization algorithms Mathematics Quadratic sieve
4	20 Years of ECM Paul Zimmermann, Bruce Dodson, ANTS 7, July 2006 Add to Reading List Source URL: www.loria.fr Language: English - Date: 2006-07-25 04:56:56 ECM Records Integer factorization algorithms Music industry Analytic number theory Elliptic curve Group theory
5	Factorization of a 512–Bit RSA Modulus Stefania Cavallar3, Bruce Dodson8 , Arjen K. Lenstra1 , Walter Lioen3 , Peter L. Montgomery10 , Brian Murphy2 , Herman te Riele3 , Karen Aardal13 , Add to Reading List Source URL: www.iai.uni-bonn.de Language: English - Date: 2002-07-30 11:33:08 General number field sieve RSA Factoring Challenge RSA Arjen Lenstra Prime number Factorization Integer factorization records Lattice sieving Polynomial Integer factorization algorithms Cryptography Mathematics
6	PDF Document Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-04-16 23:45:10 Lattice sieving Matrix Sieve Prime number Integer factorization records Integer factorization algorithms Special number field sieve General number field sieve

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