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Lenstra
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#	Item
121	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
122	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
123	Lecture Notes in Computer Science Commenced Publication in 1973 Founding and Former Series Editors: Add to Reading List Source URL: f3.tiera.ru Language: English - Date: 2010-01-05 10:02:28 Ronald Cramer Moni Naor Centrum Wiskunde & Informatica Jacques Stern Hideki Imai International Cryptology Conference David Naccache Silvio Micali Arjen Lenstra Cryptography PKC International Association for Cryptologic Research
124	Elliptic Curves, Group Schemes, and Mazur’s Theorem Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2004-06-09 06:37:35 Analytic number theory Group theory Finite fields Algebraic curves Weil pairing Supersingular elliptic curve Lenstra elliptic curve factorization Abstract algebra Elliptic curves Algebraic geometry
125	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
126	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
127	CONSTRUCTING ELLIPTIC CURVES OF PRESCRIBED ORDER PROEFSCHRIFT Add to Reading List Source URL: www.math.leidenuniv.nl Language: English - Date: 2006-05-03 17:12:30 Analytic number theory Group theory Finite fields Number theory Supersingular elliptic curve Complex multiplication Modular form Counting points on elliptic curves Lenstra elliptic curve factorization Abstract algebra Mathematics Elliptic curves
128	New Computations Concerning the Cohen-Lenstra Heuristics Herman te Riele and Hugh Williams Add to Reading List Source URL: www.emis.de Language: English - Date: 2003-07-25 11:22:00 Hypotheses Riemann hypothesis Riemann–Siegel theta function Mathematics Analytic number theory Conjectures
129	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
130	CONGRUENT NUMBERS AND HEEGNER POINTS arXiv:1210.8231v1 [math.NT] 31 Oct 2012 Add to Reading List Source URL: arxiv.org Language: English - Date: 2012-10-31 20:14:24 Mathematics Elliptic curve Modular form Artin reciprocity law Vehicle Identification Number Theta function Lenstra elliptic curve factorization Mathematical analysis Abstract algebra Analytic number theory