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Integer factorization algorithms
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#	Item
161	Cryptography and Computer Security CS255 Add to Reading List Source URL: crypto.stanford.edu Language: English - Date: 2011-01-03 19:52:41 Modular arithmetic Public-key cryptography Finite fields Integer factorization algorithms RSA Euclidean algorithm Prime number Discrete logarithm Chinese remainder theorem Abstract algebra Mathematics Cryptography
162	SMT[removed]Advanced Topics Test February 18, 2012 Add to Reading List Source URL: sumo.stanford.edu Language: English - Date: 2014-05-28 23:53:37 Integer factorization algorithms Algebraic number theory Prime number Polynomial Greatest common divisor Integer Algebraic integer Euclidean algorithm Mathematics Abstract algebra Number theory
163	Errata and clarifications for Prime numbers: a computational perspective, 2nd edition Updated February 18, 2009 R. Crandall and C. Pomerance Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-02-18 09:38:34 Finite fields Modular arithmetic Lenstra elliptic curve factorization Lucas–Lehmer primality test Integer factorization algorithms Mathematics Number theory
164	On the Cost of Factoring RSA-1024 Adi Shamir Add to Reading List Source URL: tau.ac.il Language: English - Date: 2005-02-10 22:54:25 TWINKLE Quadratic sieve General number field sieve Arjen Lenstra Rational sieve Integer factorization Key size Factor base RSA Factoring Challenge Cryptography Integer factorization algorithms TWIRL
165	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
166	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
167	On the implementation of AKS-class primality tests R. Crandall* and J. Papadopoulos Add to Reading List Source URL: www.dm.unito.it Language: English - Date: 2005-11-17 04:47:46** Theoretical computer science Finite fields Integer sequences Integer factorization algorithms AKS primality test Lucas–Lehmer primality test Prime number Time complexity Fast Fourier transform Mathematics Primality tests Abstract algebra
168	The One-More-RSA-Inversion Problems and the Security of Chaum’s Blind Signature Scheme∗ M. Bellare† Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2002-06-17 02:02:47 Finite fields RSA Integer factorization algorithms Blind signature Digital signature XTR RSA Factoring Challenge RSA numbers Cryptography Public-key cryptography Electronic commerce
169	Proceedings of the International Congress of Mathematicians Berkeley, California, USA, 1986 Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:44:43 Integer factorization algorithms Field theory Finite fields Primality tests Analytic number theory Elliptic curve Lenstra elliptic curve factorization Prime number Integer factorization Abstract algebra Mathematics Algebra
170	are so laborious and diﬃcult that even for numbers that do not exceed the limits of tables constructed by estimable men, they try the patience of even the practiced calculator. And these methods do not apply at Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2006-08-14 10:52:24 Integer factorization algorithms Primality tests Analytic number theory Finite fields Integer sequences Quadratic sieve Prime number Lenstra elliptic curve factorization Riemann hypothesis Mathematics Number theory Abstract algebra

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