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Modular elliptic curve
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41	Fast hashing to G2 on pairing friendly curves Michael Scott, Naomi Benger, Manuel Charlemagne, Luis J. Dominguez Perez, and Ezekiel J. Kachisa School of Computing Dublin City University Ballymun, Dublin 9, Ireland. Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2008-12-18 11:36:28 Mathematics Supersingular elliptic curve Hyperelliptic curve cryptography Curve Hessian form of an elliptic curve Classical modular curve Abstract algebra Elliptic curves Cryptography
42	A DISCURSUS ON 21 AS A BOUND FOR RANKS OF ELLIPTIC CURVES OVER Q, AND SUNDRY RELATED TOPICS 1. Introduction In the last paragraph of [30, §4], it was mentioned that a “forthcoming paper” of the author and A. Granvil Add to Reading List Source URL: magma.maths.usyd.edu.au Language: English - Date: 2014-11-05 20:47:51 Analytic number theory Number theory Elliptic curve Group theory Modular form Birch and Swinnerton-Dyer conjecture Curve Algebraic number field Supersingular elliptic curve Abstract algebra Mathematics Mathematical analysis
43	Universally Constructing 12-th Degree Extension Field for Ate Pairing Masaaki Shirase School of Systems Information, Future University Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido, Japan Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 23:01:15 Modular arithmetic Quadratic residue Algebraic number theory Group theory Cubic reciprocity Legendre symbol Prime number Elliptic curve Finite field Abstract algebra Number theory Mathematics
44	Efficient Java Implementation of Elliptic Curve Cryptography for J2ME-Enabled Mobile Devices Johann Großsch¨adl1 , Dan Page2 , and Stefan Tillich2 1 University of Luxembourg, CSC Research Unit, LACS, Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-08-28 16:24:04 Computer arithmetic Finite fields Group theory Binary arithmetic Cryptography Elliptic curve cryptography Arbitrary-precision arithmetic Modular arithmetic XTR Abstract algebra Mathematics Arithmetic
45	Two Exponentiation Algorithms Resistant to Cross-correlation Power Analysis and to Other Known Attacks Yaacov Belenky, Zeev Geyzel, Michael Kara-Ivanov, and Avraham Entelis NDS Technologies Israel Ltd., Shlomo haLevi Str Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-12-26 09:40:24 Exponentials Modular arithmetic Binary operations Computer arithmetic Public-key cryptography Modular exponentiation Addition-chain exponentiation Exponentiation Elliptic curve cryptography Mathematics Cryptography Abstract algebra
46	TWISTS OF X(7) AND PRIMITIVE SOLUTIONS TO x2 + y 3 = z 7 BJORN POONEN, EDWARD F. SCHAEFER, AND MICHAEL STOLL Abstract. We find the primitive integer solutions to x2 + y 3 = z 7 . A nonabelian descent argument involving t Add to Reading List Source URL: math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic curves Group theory Algebraic number theory Elliptic curve J-invariant Algebraic number field Modular curve Μ operator Classical modular curve Abstract algebra Analytic number theory Modular forms
47	Computing elliptic curves using KASH Masanari K University of Electro-Communications e-mail: [removed] August 18, 2002 Beijing, China Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Algebraic number theory Analytic number theory Elliptic curve Group theory Elliptic functions Modular forms KANT J-invariant Algebraic number field Abstract algebra Algebra Mathematics
48	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
49	Topological Modular Forms, the Witten Genus, and the Theorem of the Cube MICHAEL J. HOPKINS Department of Mathematics, Massachusetts Institute of Technology Cambridge, MA 02139, USA Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:52:09 Mathematics Elliptic cohomology Topological modular forms Cobordism Atiyah–Singer index theorem Elliptic curve Complex cobordism Genus of a multiplicative sequence Cohomology Abstract algebra Topology Algebraic topology
50	RIMS Kˆ okyˆ uroku Bessatsu B19 (2010), 45–79 Purity of Stratifications of Shimura Varieties in Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2010-06-05 19:29:02 Moduli theory Analytic number theory Algebraic curves Niels Henrik Abel Moduli space Abelian variety Shimura variety Modular form Elliptic curve Abstract algebra Algebra Algebraic geometry

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