Lenstra

Results: 153



#Item
121Quadratic 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

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
122General number field sieve / RSA Factoring Challenge / RSA / Arjen Lenstra / Prime number / Factorization / Integer factorization records / Lattice sieving / Polynomial / Integer factorization algorithms / Cryptography / Mathematics

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
123Ronald 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

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
124Analytic number theory / Group theory / Finite fields / Algebraic curves / Weil pairing / Supersingular elliptic curve / Lenstra elliptic curve factorization / Abstract algebra / Elliptic curves / Algebraic geometry

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
125Integer 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

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
126Integer 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

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
127Analytic 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

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
128Hypotheses / Riemann hypothesis / Riemann–Siegel theta function / Mathematics / Analytic number theory / Conjectures

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
129General 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

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
130Mathematics / Elliptic curve / Modular form / Artin reciprocity law / Vehicle Identification Number / Theta function / Lenstra elliptic curve factorization / Mathematical analysis / Abstract algebra / Analytic number theory

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
UPDATE