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Elliptic curve
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881	IMPLEMENTING THE ASYMPTOTICALLY FAST VERSION OF THE ELLIPTIC CURVE PRIMALITY PROVING ALGORITHM F. MORAIN Abstract. The elliptic curve primality proving (ECPP) algorithm is one of the current fastest practical algorithms Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2005-12-13 09:43:17 Number theory Finite fields Conjectures Analytic number theory Elliptic curves Elliptic curve primality proving AKS primality test Quadratic residue Prime number Abstract algebra Mathematics Primality tests
882	Certicom ECC Challenge Abstract Certicom is pleased to present the Certicom Elliptic Curve Cryptosystem (ECC) Challenge. The first of its kind, the ECC Challenge has been developed to increase the industry’s understand Add to Reading List Source URL: www.certicom.com Language: English - Date: 2008-02-26 14:48:25 Finite fields Computational hardness assumptions Group theory Key management Elliptic curve cryptography Elliptic curve Integer factorization Key size Elliptic Curve DSA Abstract algebra Cryptography Mathematics
883	Breaking ECC2K-130 Abstract. Elliptic-curve cryptography is becoming the standard public-key primitive not only for mobile devices but also for high-security applications. Advantages are the higher cryptographic strength Add to Reading List Source URL: www.ecc-challenge.info Language: English - Date: 2009-11-18 08:18:30 Finite fields Finite field arithmetic Hamming weight Elliptic curve cryptography 64-bit Vector space FO DEC Alpha Parallel computing Algebra Mathematics Abstract algebra
884	E.V. Flynn On a Theorem of Coleman 1 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Analytic number theory Elliptic curve Group theory Symbol Quadratic form Linear temporal logic Classical modular curve Algebra Mathematics Abstract algebra
885	MATH CIRCLE - ELLIPTIC CURVES WEEKS 1 & 2 SAM LICHTENSTEIN 1. What is a curve? We started by considering the idea of a curve. This is just the set of points in the plane which satisfy a polynomial equation. For example, Add to Reading List Source URL: www.themathcircle.org Language: English - Date: 2007-10-20 22:29:22 Algebraic curves Diophantine equations Analytic number theory Elliptic curve Group theory Rational point Rational number Curve Infinite descent Mathematics Geometry Abstract algebra
886	Rational Divisors in Rational Divisor Classes N. Bruin?1 and E.V. Flynn??2 1 2 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Vector bundles Divisor Canonical bundle Ample line bundle Riemann–Roch theorem Algebraic curves Linear system of divisors Greatest common divisor Elliptic curve Abstract algebra Algebraic geometry Algebra
887	The Arithmetic of Hyperelliptic Curves E. V. Flynn∗ , Mathematical Institute, University of Oxford Abstract We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in partic Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Elliptic curve Kummer surface Algebraic number field Hyperelliptic curve Hyperelliptic curve cryptography Trace Zero Cryptography Abstract algebra Algebraic geometry Algebraic curves
888	Stark–Heegner points and special values of L-series Massimo Bertolini Henri Darmon Samit Dasgupta May 23, 2006 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:51:54 Mathematics Group theory Symbol Elliptic curve Modular forms Orbifold Mathematical analysis Analytic number theory Abstract algebra
889	APPLICATION OF COVERING TECHNIQUES TO FAMILIES OF CURVES E.V. FLYNN AND J. REDMOND Abstract. Much success in finding rational points on curves has been obtained by using Chabauty’s Theorem, which applies when the genus Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Elliptic curves Analytic number theory Group theory Diophantine geometry Abelian variety Modular curve Genus of a multiplicative sequence Isogeny Abstract algebra Algebraic geometry Algebra
890	p-adic interpolation of half-integral weight modular forms Adriana Sofer [removed] 1 Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2006-08-24 12:30:01 Field theory Analytic number theory Algebraic number theory Modular forms Q-analogs Algebraic number field Elliptic curve Theta function P-adic number Abstract algebra Mathematics Mathematical analysis

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