Lenstra elliptic-curve factorization

Results: 66



#Item
51Analytic 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

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Source URL: www.math.harvard.edu

Language: English - Date: 2004-06-09 06:37:35
52Integer 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

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Source URL: www.mathunion.org

Language: English - Date: 2012-04-18 10:44:43
53Integer 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

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2006-08-14 10:52:24
54Analytic 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

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Source URL: www.math.leidenuniv.nl

Language: English - Date: 2006-05-03 17:12:30
55Mathematics / 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

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Source URL: arxiv.org

Language: English - Date: 2012-10-31 20:14:24
56Elliptic curve / XTR / Diffie–Hellman problem / Logarithm / Prime number / Supersingular elliptic curve / Homomorphic signatures for network coding / Lenstra elliptic curve factorization / Abstract algebra / Finite fields / Mathematics

A Security Analysis of the NIST SP[removed]Elliptic Curve Random Number Generator Daniel R. L. Brown∗ and Kristian Gjøsteen†

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Source URL: eprint.iacr.org

Language: English - Date: 2007-02-15 14:36:16
57Integer factorization algorithms / Diophantine geometry / Elliptic curves / Lenstra elliptic curve factorization / Elliptic curve / Birch and Swinnerton-Dyer conjecture / Primality test / Arithmetic of abelian varieties / Euclidean algorithm / Abstract algebra / Mathematics / Finite fields

An overview of the Birch-Swinnerton-Dyer conjecture

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2002-11-15 08:48:53
58Numbers / 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

The Number Field Sieve Factorization of Large Numbers

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Source URL: wob.iai.uni-bonn.de

Language: English - Date: 2006-11-06 07:51:37
59Analytic number theory / Group theory / Elliptic curve / Curve / Birch and Swinnerton-Dyer conjecture / Lenstra elliptic curve factorization / Abstract algebra / Mathematics / Finite fields

PDF Document

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Source URL: libtom.org

Language: English - Date: 2007-01-12 10:48:20
60Numbers / 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

PDF Document

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Source URL: www.ams.org

Language: English - Date: 1999-03-08 15:15:08
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