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Elliptic curve
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#	Item
641	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
642	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 Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2013-10-08 15:27:22 Mathematics Triangle geometry Proofs involving the Moore–Penrose pseudoinverse Pythagorean theorem Analytic number theory Elliptic curve Group theory
643	Strong Diophantine triples Andrej Dujella and Vinko Petriˇcevi´c Abstract We prove that there exist infinitely many triples a, b, c of non-zero rationals with the property that a2 + 1, b2 + 1, c2 + 1, ab + 1, ac + 1 Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2007-09-24 04:40:02 Nagell–Lutz theorem Elliptic curve Diophantus Nagell Mathematics Number theory Diophantine equations
644	Region Counting Circles Jean Cardinal∗§ S´ebastien Collette†§ sirable properties such as connectivity, planarity or triangle freeness. Add to Reading List Source URL: www.cccg.ca Language: English - Date: 2005-07-31 13:55:55 Circle Polar coordinate system Arrangement of lines Logarithm Elliptic curve Intersection number Geometry Curves Inverse curve
645	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 Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2012-10-20 07:52:34 Number theory Analytic number theory Elliptic curves Group theory Birch and Swinnerton-Dyer conjecture Congruent number Exponentiation Angle Curve Mathematics Abstract algebra Geometry
646	Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2007-06-12 08:54:49 Elliptic 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
647	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 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-02-20 12:09:35 Quadratic forms Algebraic curves Field theory Polynomials Algebraic number theory Hyperelliptic curve Elliptic curve Algebraic number field Discriminant Abstract algebra Algebra Mathematics
648	Efficient Algorithms for Pairing-Based Cryptosystems Paulo S. L. M. Barreto1 , Hae Y. Kim1 , Ben Lynn2 , and Michael Scott3 1 Add to Reading List Source URL: doras.dcu.ie Language: English - Date: 2009-12-03 09:35:00 Finite fields Cryptography Group theory Algebraic number theory Weil pairing XTR Frobenius endomorphism Supersingular elliptic curve Pairing Abstract algebra Algebra Elliptic curves
649	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 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-06-03 09:18:30 Elliptic curves Analytic number theory Elliptic curve Group theory Oracle machine Boneh/Franklin scheme Supersingular elliptic curve Prime number Algebraic curve Abstract algebra Cryptography Mathematics
650	ON THE IMPLEMENTATION OF PAIRING-BASED CRYPTOSYSTEMS A DISSERTATION SUBMITTED TO THE DEPARTMENT OF COMPUTER SCIENCE AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD UNIVERSITY Add to Reading List Source URL: crypto.stanford.edu Language: English - Date: 2015-02-08 21:22:14 Pairing Weil pairing BLS Elliptic curve Digital signature Hyperelliptic curve XDH assumption Paulo S. L. M. Barreto Cryptography Abstract algebra Algebra

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