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Lenstra elliptic-curve factorization
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#	Item
1	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 at the last digit,” with the idea of cheaply pulling out possible factors of Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2007-11-23 17:17:47 Mathematics Integer factorization algorithms Number theory Quadratic sieve Special number field sieve Quadratic residue General number field sieve Prime number Lenstra elliptic curve factorization Sieve of Eratosthenes Euclidean algorithm Prime-counting function
2	Annales Univ. Sci. Budapest., Sect. Comp–27 PRIMALITY PROOFS WITH ELLIPTIC CURVES: HEURISTICS AND ANALYSIS Wieb Bosma, Eric Cator (Nijmegen, The Netherlands) Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2016-04-18 16:20:05 Abstract algebra Algebra Mathematics Primality tests Finite fields Elliptic curves Elliptic curve primality Group theory Elliptic curve Lenstra elliptic curve factorization Quadratic residue Prime number
3	Annals of Mathematics, ), Factoring integers with elliptic curves By H. W. LENSTRA, JR. Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2008-11-09 06:36:38 Abstract algebra Algebra Mathematics Elliptic curves Finite fields Group theory Elliptic curve cryptography Conjectures Lenstra elliptic curve factorization Elliptic curve Divisor Generalized Riemann hypothesis
4	A Provably Secure Elliptic Curve Scheme with Fast Encryption David Galindo1 , Sebasti` a Mart´ın1 , Tsuyoshi Takagi2 and Jorge L. Villar1 1 Add to Reading List Source URL: www.dgalindo.es Language: English - Date: 2007-11-26 10:35:53 Cryptography Abstract algebra Algebra Elliptic curves Group theory Supersingular elliptic curve Trapdoor function Finite fields Elliptic curve Lenstra elliptic curve factorization Elliptic curve primality
5	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology The 12th Workshop on Elliptic Curve Cryptography Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-09-27 14:59:29 Abstract algebra Algebra Mathematics Finite fields Integer factorization algorithms Group theory Elliptic curve cryptography Lenstra elliptic curve factorization Elliptic curves Elliptic curve Torsion Order
6	Primality proofs with elliptic curves: heuristics and analysis Wieb Bosma∗, Eric Cator†, Antal J´arai‡, Gy¨ongyv´er Kiss§ September 11, 2014 Abstract Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2014-09-11 16:04:20 Abstract algebra Algebra Mathematics Primality tests Finite fields Elliptic curves Elliptic curve primality Group theory Lenstra elliptic curve factorization Elliptic curve Prime number Quadratic residue
7	R. van Bommel Almost all hyperelliptic Jacobians have a bad semi-abelian prime Master’s thesis, 23 June 2014 Supervisor: dr. D. Holmes Add to Reading List Source URL: algant.eu Language: English - Date: 2014-07-04 06:58:52 Abstract algebra Algebraic geometry Algebra Elliptic curves Diophantine geometry Abelian varieties Semistable abelian variety Algebraic curves Lenstra elliptic curve factorization Hyperelliptic curve cryptography
8	draft-irtf-cfrg-curves-02 - Elliptic Curves for Security Add to Reading List Source URL: tools.ietf.org Language: English - Date: 2015-06-15 16:32:44 Finite fields Elliptic curves Elliptic curve Montgomery curve Twisted Edwards curve Curve Edwards curve XTR Lenstra elliptic curve factorization Abstract algebra Cryptography Elliptic curve cryptography
9	A kilobit special number field sieve factorization Kazumaro Aoki1 , Jens Franke2 , Thorsten Kleinjung2 , Arjen K. Lenstra3 , and Dag Arne Osvik3 1 2 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2007-05-31 05:26:07 Special number field sieve Integer factorization General number field sieve Factorization RSA Lenstra elliptic curve factorization Factor base Quadratic sieve Integer factorization records Integer factorization algorithms Cryptography Mathematics
10	Faster deterministic integer factorisation David Harvey (joint work with Edgar Costa, NYU) University of New South Wales 25th October 2011 Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2011-10-24 19:42:20 Applied mathematics Integer factorization General number field sieve Quadratic sieve Time complexity Lenstra elliptic curve factorization Factorization Prime number Algorithm Theoretical computer science Integer factorization algorithms Mathematics

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