Elliptic curves

Results: 668



#Item
401Mathematics / Triangle geometry / Proofs involving the Moore–Penrose pseudoinverse / Pythagorean theorem / Analytic number theory / Elliptic curve / Group theory

On the torsion group of elliptic curves induced by D(4)-triples Andrej Dujella and Miljen Miki´c Abstract A D(4)-m-tuple is a set of m integers such that the product of

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Source URL: bib.irb.hr

Language: English - Date: 2013-10-08 15:27:22
402Circle / Polar coordinate system / Arrangement of lines / Logarithm / Elliptic curve / Intersection number / Geometry / Curves / Inverse curve

Region Counting Circles Jean Cardinal∗§ S´ebastien Collette†§ sirable properties such as connectivity, planarity or triangle freeness.

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Source URL: www.cccg.ca

Language: English - Date: 2005-07-31 13:55:55
403Number theory / Analytic number theory / Elliptic curves / Group theory / Birch and Swinnerton-Dyer conjecture / Congruent number / Exponentiation / Angle / Curve / Mathematics / Abstract algebra / Geometry

ON THE HIGH RANK π/3 AND 2π/3-CONGRUENT NUMBER ELLIPTIC CURVES A. S. JANFADA, S. SALAMI, A. DUJELLA, AND J. C. PERAL Abstract. Consider the elliptic curves given by

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Source URL: bib.irb.hr

Language: English - Date: 2012-10-20 07:52:34
404Elliptic curves / Abelian varieties / Finite fields / Diophantine geometry / Analytic number theory / Mordell–Weil theorem / Elliptic function / Victor S. Miller / Birch and Swinnerton-Dyer conjecture / Abstract algebra / Mathematics / Algebraic geometry

Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA

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Source URL: www.iacr.org

Language: English - Date: 2007-06-12 08:54:49
405Elliptic curves / Cryptography / Group theory / Binary arithmetic / Computer arithmetic / Division / Pairing / Weil pairing / Algorithm / Abstract algebra / Mathematics / Algebra

Speeding Up Pairing Computation ´ hEigeartaigh ´ Colm O School of Computing, Dublin City University. Ballymun, Dublin 9, Ireland.

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Source URL: eprint.iacr.org

Language: English - Date: 2005-09-07 05:53:16
406Quadratic forms / Algebraic curves / Field theory / Polynomials / Algebraic number theory / Hyperelliptic curve / Elliptic curve / Algebraic number field / Discriminant / Abstract algebra / Algebra / Mathematics

The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point Manjul Bhargava and Benedict H. Gross February 20, 2013 Abstract We prove that when all hyperelliptic curves

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-02-20 12:09:35
407Finite fields / Cryptography / Group theory / Algebraic number theory / Weil pairing / XTR / Frobenius endomorphism / Supersingular elliptic curve / Pairing / Abstract algebra / Algebra / Elliptic curves

Efficient Algorithms for Pairing-Based Cryptosystems Paulo S. L. M. Barreto1 , Hae Y. Kim1 , Ben Lynn2 , and Michael Scott3 1

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Source URL: doras.dcu.ie

Language: English - Date: 2009-12-03 09:35:00
408Elliptic curves / Analytic number theory / Elliptic curve / Group theory / Oracle machine / Boneh/Franklin scheme / Supersingular elliptic curve / Prime number / Algebraic curve / Abstract algebra / Cryptography / Mathematics

Efficient Indifferentiable Hashing into Ordinary Elliptic Curves⋆ Eric Brier1 , Jean-S´ebastien Coron2 , Thomas Icart2⋆⋆ , David Madore3 , Hugues Randriam3 , and Mehdi Tibouchi2,4⋆ ⋆ ⋆ 1 Ingenico

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Source URL: eprint.iacr.org

Language: English - Date: 2014-06-03 09:18:30
409Elliptic curve / Group theory / Topology / Number theory / Curve / Mathematics / Geometry / Analytic number theory

ON THE RANK OF ELLIPTIC CURVES COMING FROM RATIONAL DIOPHANTINE TRIPLES JULIÁN AGUIRRE, ANDREJ DUJELLA, AND JUAN CARLOS PERAL Abstract. We construct a family of Diophantine triples {c1 (t), c2 (t), c3 (t)} such that the

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Source URL: bib.irb.hr

Language: English - Date: 2010-04-16 13:40:09
410Elliptic curves / Analytic number theory / Curvature / Differential geometry / Abelian varieties / Torsion subgroup / Torsion / Mordell–Weil theorem / Modular form / Abstract algebra / Mathematics / Mathematical analysis

Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank Mirela Juki´c Bokun Abstract For each of the torsion groups Z/2Z⊕Z/10Z, Z/2Z⊕Z/12Z, Z/15Z

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Source URL: bib.irb.hr

Language: English - Date: 2014-07-23 10:55:12
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