Elliptic curve primality

Results: 40



#Item
21Elliptic curve / Group theory / Prime number / Finite fields / Primality tests / Elliptic curve primality proving / Abstract algebra / Mathematics / Analytic number theory

Advances in the CM method for elliptic curves F. Morain

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Source URL: www.lix.polytechnique.fr

Language: English - Date: 2009-05-14 14:22:49
22Analytic 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

Elliptic curves: applications and problems Carl Pomerance, Dartmouth College

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2011-01-01 14:20:22
23Finite fields / Modular arithmetic / Lenstra elliptic curve factorization / Lucas–Lehmer primality test / Integer factorization algorithms / Mathematics / Number theory

Errata and clarifications for Prime numbers: a computational perspective, 2nd edition Updated February 18, 2009 R. Crandall and C. Pomerance

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-02-18 09:38:34
24Integer 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
25Integer 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
26Analysis of algorithms / Group theory / Finite fields / Polynomial / Primality tests / Time complexity / Prime number / Elliptic curve / P / Theoretical computer science / Abstract algebra / Mathematics

ABSTRACT Title of dissertation:

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Source URL: www.cs.umd.edu

Language: English - Date: 2007-09-25 23:26:55
27Abstract algebra / Elliptic curve primality proving / Primality certificate / AKS primality test / Prime number / Elliptic curve primality testing / Solovay–Strassen primality test / Fermat primality test / Miller–Rabin primality test / Primality tests / Mathematics / Number theory

An Overview of Elliptic Curve Primality Proving Frank Li December 15, 2011

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Source URL: www.stanford.edu

Language: English - Date: 2012-01-10 13:38:21
28Primality tests / Modular arithmetic / Group theory / Finite fields / Primality certificate / Prime number / Elliptic curve / Integer factorization / Quadratic form / Abstract algebra / Mathematics / Number theory

IMPLEMENTATION OF THE ATKIN-GOLDWASSER-KILIAN PRIMALITY TESTING ALGORITHM

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

Language: English - Date: 2002-07-12 14:33:16
29Integer 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
30Abstract algebra / AKS primality test / Primality certificate / Prime number / Elliptic curve primality proving / Randomized algorithm / Probable prime / Elliptic curve / Time complexity / Primality tests / Mathematics / Theoretical computer science

PRIMALITY PROVING VIA ONE ROUND IN ECPP AND ONE ITERATION IN AKS∗ QI CHENG†

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Source URL: www.cs.ou.edu

Language: English - Date: 2003-11-12 15:51:20
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