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Lattice sieving
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1	CONTINUED FRACTIONS AND LATTICE SIEVING JENS FRANKE, THORSTEN KLEINJUNG Abstract. We present a new method of lattice sieving which we expect to be faster by a constant factor than the method of Pollard, and which has bee Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2005-03-19 07:30:03 Integer factorization algorithms Mathematics Computing Quadratic sieve Software engineering NC General number field sieve Pure Euclidean algorithm
2	New directions in nearest neighbor searching with applications to lattice sieving-0.1cm Add to Reading List Source URL: thijs.com - Date: 2016-01-13 23:12:32
3	Progressive lattice sieving Add to Reading List Source URL: www.math.fau.edu Language: English - Date: 2018-04-24 10:41:54
4	Factorization of a 768-bit RSA modulus version 1.21, January 13, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 , Add to Reading List Source URL: www.loria.fr Language: English - Date: 2010-01-13 11:00:27 Number theory Quadratic sieve Special number field sieve General number field sieve Quadratic residue Prime number Factor base Lattice sieving RSA Integer factorization algorithms Cryptography Mathematics
5	Factorization of a 768-bit RSA modulus version 1.4, February 18, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 , Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 11:19:25 Number theory Quadratic sieve Special number field sieve General number field sieve Quadratic residue Prime number Factor base Lattice sieving RSA Integer factorization algorithms Cryptography Mathematics
6	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
7	Use of SIMD-Based Data Parallelism to Speed up Sieving in Integer-Factoring Algorithms ? Binanda Sengupta and Abhijit Das Department of Computer Science and Engineering Indian Institute of Technology Kharagpur, West Beng Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-20 08:14:47 Theoretical computer science Quadratic sieve General number field sieve Rational sieve Quadratic residue Lattice sieving Integer factorization Prime number RSA Integer factorization algorithms Mathematics Cryptography
8	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