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Lenstra elliptic-curve factorization
Results: 66

#	Item
21	Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware Kris Gaj1 , Soonhak Kwon2 , Patrick Baier1 , Paul Kohlbrenner1 , Hoang Le1 , Mohammed Khaleeluddin1 , Ramakrishna Bachimanchi1 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2009-03-05 01:42:52 Finite fields Computer arithmetic Group theory Lenstra elliptic curve factorization Elliptic curves Elliptic curve Montgomery reduction Division ECM Records Abstract algebra Integer factorization algorithms Mathematics
22	HIGH RANK ELLIPTIC CURVES WITH PRESCRIBED TORSION GROUP OVER QUADRATIC FIELDS JULIÁN AGUIRRE, ANDREJ DUJELLA, MIRELA JUKI BOKUN, AND JUAN CARLOS PERAL There are 26 possibilities for the torsion group of elliptic curve Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2014-07-23 10:58:32 Analytic number theory Elliptic curve Group theory Torsion subgroup Torsion tensor Torsion Analytic torsion Lenstra elliptic curve factorization Abstract algebra Differential geometry Curvature
23	Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization Andrej Dujella and Filip Najman Abstract In this paper, we present several methods for construction of ellipti Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2012-01-17 08:42:03 Elliptic curves Curvature Differential geometry Finite fields Group theory Lenstra elliptic curve factorization Torsion of a curve Torsion subgroup Nagell–Lutz theorem Abstract algebra Geometry Mathematics
24	Roots of Polynomials in Subgroups of F∗p and Applications to Congruences Enrico Bombieri, Jean Bourgain, Sergei Konyagin IAS, Princeton, IAS Princeton, Moscow State University Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2008-11-03 09:49:23 Modular arithmetic Algebraic number theory Quadratic residue Integer factorization algorithms Lenstra elliptic curve factorization Quadratic reciprocity Abstract algebra Mathematics Number theory
25	Factoring estimates for a 1024-bit RSA modulus Arjen Lenstra1 , Eran Tromer2 , Adi Shamir2 , Wil Kortsmit3 , Bruce Dodson4 , James Hughes5 , Paul Leyland6 1 Citibank, N.A. and Technische Universiteit Eindhoven, Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer sequences General number field sieve TWIRL Prime number RSA Smooth number Lenstra elliptic curve factorization Factorization Factorial Integer factorization algorithms Mathematics Cryptography
26	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology Fields Cryptography Retrospective Meeting Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-05-14 13:31:42 Group 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
27	DOI: [removed]auom[removed]An. S ¸ t. Univ. Ovidius Constant ¸a Vol. 22(2),2014, 79–90 Add to Reading List Source URL: www.anstuocmath.ro Language: English - Date: 2014-04-14 09:34:04 Number theory Triangle geometry Elliptic curves Lenstra elliptic curve factorization Pythagorean triple Analytic number theory Group theory Mathematics
28	Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-11-08 09:26:06 Analytic number theory Finite fields Modular forms Elliptic curves Modular arithmetic Prime number Lenstra elliptic curve factorization Hessian form of an elliptic curve Abstract algebra Mathematics Group theory
29	Cryptanalysis of RSA Variants and Implicit Factorization Santanu Sarkar August 20, 2013 Add to Reading List Source URL: math.nist.gov Language: English - Date: 2013-08-20 11:29:07 Abstract algebra RSA General number field sieve Quadratic sieve Polynomial Lenstra elliptic curve factorization Prime number Arjen Lenstra Factorization Cryptography Mathematics Integer factorization algorithms
30	Resistance of Randomized Projective Coordinates Against Power Analysis William Dupuy and S´ebastien Kunz-Jacques DCSSI Crypto Lab 51, bd de Latour-Maubourg, 75700 PARIS 07 SP [removed], [removed] Add to Reading List Source URL: www.ssi.gouv.fr Language: English - Date: 2012-11-06 05:29:19 Analytic number theory Group theory XTR Elliptic curves Lenstra elliptic curve factorization Projective space Finite fields Algebra Mathematics

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