Elliptic curves

Results: 668



#Item
411Elliptic curves / Elliptic curve / Supersingular elliptic curve / Weil pairing / Pairing / Curve / Algebraic number field / Elliptic curve cryptography / Elliptic divisibility sequence / Abstract algebra / Mathematics / Algebra

A TAXONOMY OF PAIRING-FRIENDLY ELLIPTIC CURVES DAVID FREEMAN1 , MICHAEL SCOTT2 , AND EDLYN TESKE3 1 CWI and Universiteit Leiden Science Park 123, 1098 XG Amsterdam, The Netherlands

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Source URL: eprint.iacr.org

Language: English - Date: 2009-11-20 10:42:19
412Elliptic curves / Algebraic curves / Number theory / Abelian varieties / Diophantine geometry / Birch and Swinnerton-Dyer conjecture / Twists of curves / Mordell–Weil theorem / Division polynomials / Abstract algebra / Algebraic geometry / Mathematics

RANKS OF ELLIPTIC CURVES WITH PRESCRIBED TORSION OVER NUMBER FIELDS JOHAN BOSMAN, PETER BRUIN, ANDREJ DUJELLA, AND FILIP NAJMAN Abstract. We study the structure of the Mordell–Weil group of elliptic curves over number

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Source URL: bib.irb.hr

Language: English - Date: 2013-01-15 10:57:31
413Number theory / Elliptic curve / Group theory / W2 / Integer triangle / W postcode area / Néron–Tate height / Heronian triangle / W4 / Mathematics / Geometry / Analytic number theory

ELLIPTIC CURVES COMING FROM HERON TRIANGLES ANDREJ DUJELLA AND JUAN CARLOS PERAL Triangles having rational sides a, b, c and rational area Q are called Heron triangles. Associated to each Heron triangle is the quartic A

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Source URL: bib.irb.hr

Language: English - Date: 2012-10-20 07:54:38
414Algebraic topology / Vector bundles / Birational geometry / Abelian varieties / Ample line bundle / Divisor / Minimal model program / Elliptic curve / Cone of curves / Abstract algebra / Algebraic geometry / Algebra

arXiv:alg-geom/9712019v1 17 Dec 1997

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Source URL: arxiv.org

Language: English - Date: 2013-02-14 11:28:05
415Elliptic 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

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

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Source URL: bib.irb.hr

Language: English - Date: 2012-01-17 08:42:03
416Finite fields / Analysis of algorithms / Asymptotic analysis / Cryptography / Analytic number theory / Elliptic curve / Ample line bundle / Big O notation / Hyperelliptic curve cryptography / Abstract algebra / Mathematics / Mathematical analysis

Relating the ECDLP to Other Curves Mark Bauer University of Calgary Department of Mathematics & Statistics Centre for Information Security and Cryptography

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2006-11-15 13:19:55
417Group theory / Elliptic curves / Analytic number theory / Number theory / Prime number / Curve / Frobenius endomorphism / Supersingular elliptic curve / Counting points on elliptic curves / Abstract algebra / Mathematics / Finite fields

Constructing cryptographic curves with complex multiplication Reinier Br¨ oker Ξ

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2009-05-14 13:40:44
418

Arithmetic Progressions on Elliptic Curves Alejandra Alvarado under the supervision of Dr. Andrew Bremner

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Source URL: www.ima.umn.edu

- Date: 2011-10-21 11:47:11
    419Multiplication / Linear algebra / Elliptic curves / Binary operations / Scalar / Elliptic curve point multiplication / Mathematics / Algebra / Abstract algebra

    Elliptic curve scalar multiplication combining Yao’s algorithm and the double base number system Nicolas M´eloni and M. Anwar Hasan Department of Electrical and Computer Engineering University of Waterloo

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    Source URL: www.fields.utoronto.ca

    Language: English - Date: 2009-05-14 13:28:52
    420Algebraic curves / Analytic number theory / Projective geometry / Riemann surface / Elliptic curve / Curve / Conic section / Riemann–Roch theorem / Cubic plane curve / Geometry / Algebraic geometry / Abstract algebra

    Lecture Notes Algebraic Geometry III/IV Matt Kerr Contents

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    Source URL: www.math.wustl.edu

    Language: English - Date: 2010-06-09 01:47:58
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