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Lenstra elliptic-curve factorization
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41	UNIVERSITY OF CALIFORNIA Los Angeles An FFT Extension of the Elliptic Curve Method of Factorization A dissertation submitted in partial satisfaction of the Add to Reading List Source URL: research.microsoft.com Language: English - Date: 2011-10-25 12:19:40 Polynomials Finite fields Integer factorization algorithms Lenstra elliptic curve factorization Fast Fourier transform Elliptic curve Peter Montgomery Prime number Factorization Abstract algebra Mathematics Algebra
42	CS255: Introduction to Cryptography Winter 2014 Assignment #3: Solutions Answer 1. Add to Reading List Source URL: crypto.stanford.edu Language: English - Date: 2014-03-18 01:08:22 Computational science Cryptography Coding theory Public-key cryptography Factorization of polynomials over a finite field and irreducibility tests Lenstra elliptic curve factorization Mathematics Euclidean algorithm Finite fields
43	Balanced subgroups of the multiplicative group Carl Pomerance, Dartmouth College Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-06-15 12:56:21 Integer sequences Group theory Analytic number theory Finite fields Elliptic curve Prime number Factorial Lenstra elliptic curve factorization Birch and Swinnerton-Dyer conjecture Mathematics Abstract algebra Number theory
44	Balanced subgroups of the multiplicative group Carl Pomerance, Dartmouth College Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-09-28 10:50:07 Integer sequences Analytic number theory Group theory Elliptic curve Finite fields Factorial Prime number Lenstra elliptic curve factorization Birch and Swinnerton-Dyer conjecture Mathematics Abstract algebra Number theory
45	Elliptic curves: applications and problems Carl Pomerance, Dartmouth College Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2011-01-01 14:20:22 Analytic number theory Number theory Integer sequences Finite fields Lenstra elliptic curve factorization Primality tests Elliptic curve Prime number Smooth number Abstract algebra Mathematics Integer factorization algorithms
46	Balanced subgroups of the multiplicative group Carl Pomerance, Dartmouth College Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-12-01 22:13:26 Integer sequences Group theory Analytic number theory Elliptic curve Finite fields Prime number Factorial Lenstra elliptic curve factorization Birch and Swinnerton-Dyer conjecture Mathematics Abstract algebra Number theory
47	Balanced subgroups of the multiplicative group Carl Pomerance, Dartmouth College Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-10-18 08:47:28 Integer sequences Group theory Analytic number theory Elliptic curve Finite fields Prime number Factorial Lenstra elliptic curve factorization Birch and Swinnerton-Dyer conjecture Mathematics Abstract algebra Number theory
48	Balanced subgroups of the multiplicative group Carl Pomerance, Dartmouth College Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-04-30 10:02:06 Integer sequences Number theory Group theory Analytic number theory Elliptic curve Finite fields Prime number Factorial Lenstra elliptic curve factorization Mathematics Abstract algebra Mathematical analysis
49	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
50	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