Algebraic-group factorisation algorithm

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1Cryptography / Lenstra elliptic curve factorization / Quadratic sieve / Integer factorization / Elliptic curve / Primality test / Prime number / Prime factor / Algebraic-group factorisation algorithm / Integer factorization algorithms / Abstract algebra / Mathematics

THE ELLIPTIC CURVE METHOD PAUL ZIMMERMANN The Elliptic Curve Method (ECM for short) was invented in 1985 by H. W. Lenstra, Jr[removed]It is suited to find small — say 9 to 30 digits — prime factors of large numbers. Am

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Source URL: www.loria.fr

Language: English - Date: 2004-09-06 05:03:02
2Group theory / Lenstra elliptic curve factorization / Elliptic curve / Elliptic curve cryptography / Torsion / Edwards curve / Elliptic curve primality testing / Algebraic-group factorisation algorithm / Abstract algebra / Finite fields / Integer factorization algorithms

Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology Fields Cryptography Retrospective Meeting

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2009-05-14 13:31:42
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