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Integers
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#	Item
1	Cofactorisation strategies for the number field sieve and an estimate for the sieving step for factoring 1024-bit integers Thorsten Kleinjung University of Bonn, Department of Mathematics, Beringstraße 1, DBonn, Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-03-21 11:54:50 Integer factorization algorithms Mathematics Quadratic sieve General number field sieve Integer factorization Prime number Factorization Number theory Factor base Shanks's square forms factorization
2	SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , Colin Stahlke3 1 Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2005-03-13 11:16:01 Integer factorization algorithms Mathematics Quadratic sieve Integer factorization records General number field sieve TWIRL Lattice sieving Factor base Prime number Sieve
3	An Evaluation of the Sieving Device YASD for 1024-bit Integers* SHARCS 2006, Cologne, Germany April 4, 2006 Naoyuki Hirota (UEC), ○Tetsuya Izu (FUJITSU), Noboru Kunihiro (UEC), Kazuo Ohta (UEC) Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-04-19 03:56:50 Cryptography Integer factorization algorithms Weizmann Institute of Science Computational hardness assumptions TWINKLE TWIRL General number field sieve Integer factorization Factor base RSA World records
4	A polynomial time algorithm for computing the HNF of a module over the integers of a number field Jean-François Biasse Claus Fieker Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2014-09-02 14:57:05
5	An Evaluation of the Sieving Device YASD for 1024-bit Integers ? (Extended Abstract) Naoyuki Hirota1 , Tetsuya Izu2 , Noboru Kunihiro1 and Kazuo Ohta1 1 Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-03-21 03:38:37 Cryptography Mathematics Weizmann Institute of Science Integer factorization algorithms Integer sequences TWINKLE Integer factorization TWIRL Prime number Dynamic random-access memory Factor base XTR
6	An Efficient Hardware Architecture for Factoring Integers with the Elliptic Curve Method Jens Franke, Thorsten Kleinjung - University of Bonn Christof Paar, Jan Pelzl - University of Bochum Christine Priplata, Colin Stah Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2005-03-13 11:15:51 Cryptography Integer factorization algorithms Lenstra elliptic-curve factorization Quadratic sieve Elliptic-curve cryptography Elliptic curve Integer factorization General number field sieve RSA Trial division
7	Cofactorisation strategies for the number field sieve and an estimate for the sieving step for factoring 1024-bit integers Thorsten Kleinjung, University of Bonn Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-04-04 05:23:30 Mathematics Integer factorization algorithms General number field sieve Primality test Factorization Divisor Prime number 284 Square root
8	An Efficient Hardware Architecture for Factoring Integers with the Elliptic Curve Method Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , 4 ˇ Christine Priplata3 , Martin Simka Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2005-03-13 11:15:55 Integer factorization algorithms Mathematics Abstract algebra Algebra Lenstra elliptic-curve factorization Quadratic sieve Montgomery modular multiplication Elliptic curve Exceptional case-marking Division algorithm General number field sieve
9	1 Improved division by invariant integers Niels M¨oller and Torbj¨orn Granlund Abstract—This paper considers the problem of dividing a Add to Reading List Source URL: gmplib.org Language: English - Date: 2010-04-13 05:56:35
10	Short Division of Long Integers (joint work with David Harvey) Paul Zimmermann October 6, 2011 Add to Reading List Source URL: caramel.loria.fr Language: English - Date: 2016-02-01 16:50:31