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Lenstra elliptic-curve factorization
Results: 66

#	Item
11	Faster deterministic integer factorisation David Harvey (joint work with Edgar Costa, NYU) University of New South Wales 6th January 2012, Joint Mathematics Meetings, Boston Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-01-11 02:12:51 Mathematics General number field sieve Time complexity Integer factorization Primality test Algorithm NP Prime number Lenstra elliptic curve factorization Theoretical computer science Integer factorization algorithms Applied mathematics
12	PDF Document Add to Reading List Source URL: msp.org Language: English - Date: 2013-11-23 01:41:04 Finite fields Algebraic curves Analytic number theory Elliptic curves Algebraic number theory Lenstra elliptic curve factorization Elliptic curve Division polynomials Algebraic number field Abstract algebra Algebra Mathematics
13	Direct Division in Factor Rings Christopher Wolf∗ Department of Mathematics ESAT-COSIC Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2004-12-18 15:04:16 Finite fields Polynomials Euclidean algorithm Greatest common divisor XTR Vehicle Identification Number Factorization of polynomials over a finite field and irreducibility tests Lenstra elliptic curve factorization Mathematics Number theory Algebra
14	A SPECTS OF H YPERELLIPTIC C URVES OVER L ARGE P RIME F IELDS IN S OFTWARE I MPLEMENTATIONS Roberto Maria Avanzi Institute for Experimental Mathematics (IEM) Ellernstrasse 29, DEssen, Germany Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2003-12-17 09:09:41 Geometry Elliptic curve Hyperelliptic curve Divisor Abelian variety Lenstra elliptic curve factorization Imaginary hyperelliptic curve Abstract algebra Algebraic geometry Algebraic curves
15	Elliptic Curves in Algorithmic Number Theory and Cryptography Otto Forster §1 Applications in Algorithmic Number Theory In this section we describe briefly the use of elliptic curves over finite fields for Add to Reading List Source URL: www.mathematik.uni-muenchen.de Language: English - Date: 2003-12-07 11:29:32 Finite fields Group theory Elliptic curves Cryptography Polynomials Elliptic curve Lenstra elliptic curve factorization Division polynomials Prime number Abstract algebra Mathematics Algebra
16	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 Add to Reading List Source URL: www.loria.fr Language: English - Date: 2004-09-06 05:03:02 Cryptography 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
17	Fast arithmetic and pairing evaluation on genus 2 curves David Freeman University of California, Berkeley [removed] November 6, 2005 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:47 Group theory Polynomial Euclidean algorithm Finite fields Elliptic curves Integer factorization algorithms Lenstra elliptic curve factorization Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Mathematics Algebra
18	International Mathematical Olympiad Preliminary Selection Contest 2007 — Hong Kong Outline of Solutions Answers: Add to Reading List Source URL: www.mathdb.org Language: English - Date: 2007-10-04 22:57:03 Coding theory Algebra Lenstra elliptic curve factorization SYmbolic LinK Finite fields Mathematics Integer factorization algorithms
19	Reverse Engineering of Strong CryptoSignatures Schemes Add to Reading List Source URL: www.reteam.org Language: English - Date: 2009-05-17 13:10:56 Elliptic curve Lenstra elliptic curve factorization Discrete logarithm XTR Elliptic Curve DSA Prime number Cyclic group Hyperelliptic curve cryptography Hessian form of an elliptic curve Abstract algebra Finite fields Elliptic curve cryptography
20	Journal de Th´eorie des Nombres de Bordeaux 00 (XXXX), 000–000 Solving conics over function fields par Mark van HOEIJ et John CREMONA ´sume Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-07-31 04:25:06 Algebraic curves Modular arithmetic Analytic geometry Birational geometry Conic section Chinese remainder theorem Lenstra elliptic curve factorization Euclidean algorithm Abstract algebra Mathematics Geometry