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General number field sieve
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41	SMOOTH NUMBERS AND THE QUADRATIC SIEVE Carl Pomerance When faced with a large number n to factor, what do you do first? You might say “Look Add to Reading List Source URL: www.math.leidenuniv.nl Language: English - Date: 2004-11-24 09:42:47 Quadratic sieve General number field sieve Quadratic residue Special number field sieve Lenstra elliptic curve factorization Euclidean algorithm Prime number Sieve of Eratosthenes Smooth number Integer factorization algorithms Mathematics Number theory
42	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
43	Factorization of a 1061-bit number by the Special Number Field Sieve Greg Childers Add to Reading List Source URL: physics.fullerton.edu Language: English - Date: 2013-11-22 18:19:02 General number field sieve Special number field sieve Integer factorization Arjen Lenstra Herman te Riele Factor base RSA Factorization Jens Franke Integer factorization algorithms Cryptography Mathematics
44	The Number Field Sieve Factorization of Large Numbers Add to Reading List Source URL: wob.iai.uni-bonn.de Language: English - Date: 2006-11-06 07:51:37 Numbers Special number field sieve General number field sieve Quadratic sieve Lenstra elliptic curve factorization Sieve theory Prime number Prime factor Rational sieve Integer factorization algorithms Number theory Mathematics
45	boneh.qxp[removed]:40 AM Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-03-11 11:17:10 Integer factorization algorithms Modular arithmetic Electronic commerce RSA Euclidean algorithm Chinese remainder theorem XTR Blinding General number field sieve Cryptography Mathematics Public-key cryptography
46	PDF Document Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-05-13 07:50:07 Mathematics RSA numbers General number field sieve RSA Factorization Arjen Lenstra Semiprime Prime number Parallel computing Integer factorization algorithms Cryptography Numbers
47	PDF Document Add to Reading List Source URL: www.lehigh.edu Language: English - Date: 2007-02-08 15:55:16 Abstract algebra Quadratic sieve General number field sieve Rational sieve Special number field sieve Prime number Quadratic residue Fermat number Factor base Integer factorization algorithms Mathematics Number theory
48	PDF Document Add to Reading List Source URL: www.ipa.go.jp Language: English - Date: 2013-06-03 22:32:58 Finite fields Computational hardness assumptions Group theory Integer factorization algorithms Logarithms Discrete logarithm Index calculus algorithm XTR General number field sieve Abstract algebra Mathematics Cryptography
49	PDF Document Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-03-08 15:15:08 Numbers Quadratic sieve General number field sieve Lenstra elliptic curve factorization Prime number Integer factorization Factorization Sieve of Eratosthenes Factor base Integer factorization algorithms Mathematics Number theory
50	PDF Document Add to Reading List Source URL: public.rz.fh-wolfenbuettel.de Language: English - Date: 2010-03-08 10:09:23 Quadratic sieve General number field sieve Integer factorization RSA Factoring Challenge RSA numbers RSA Prime number Factorization Lattice sieving Integer factorization algorithms Cryptography Mathematics