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Lenstra
Results: 153

#	Item
61	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
62	On Quantum Sieve Approaches to the Lattice Shortest Vector Problem Daniel Epelbaum December[removed] Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2014-12-25 20:29:11 Quantum algorithms Cryptography Group theory Computational complexity theory Lattice problem Lattice Hidden subgroup problem Lenstra–Lenstra–Lovász lattice basis reduction algorithm Quantum computer Mathematics Theoretical computer science Algebra
63	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
64	Erzgraber, H., Krauskopf, B., & Lenstra, D[removed]Mode structure of delaycoupled semiconductor lasers : influence of the pump current. Link to publication record in Explore Bristol Research PDF-document University of Add to Reading List Source URL: research-information.bristol.ac.uk Language: English - Date: 2012-07-07 04:00:32 Mathematical analysis Saddle-node bifurcation Numerical continuation Hopf bifurcation Laser Bifurcation theory Optics Physics
65	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
66	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
67	The Insecurity of Esign in Practical Implementations Pierre-Alain Fouque1 , Nick Howgrave-Graham2 , Gwena¨elle Martinet3 , and Guillaume Poupard3 ´ Ecole Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Computational number theory Lattice points Algebra Abstract algebra RSA Lenstra–Lenstra–Lovász lattice basis reduction algorithm Lattice Mathematics Electronic commerce Public-key cryptography
68	Lattice-based Cryptography Oded Regev? Tel Aviv University, Israel Abstract. We describe some of the recent progress on lattice-based cryptography, starting from the seminal work of Ajtai, and ending with Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 Lattice points Computational number theory Lattice problem Lattice-based cryptography Lattice Ideal lattice cryptography NTRUSign Lenstra–Lenstra–Lovász lattice basis reduction algorithm Reciprocal lattice Cryptography Mathematics Post-quantum cryptography
69	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
70	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