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Supersingular elliptic curve
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#	Item
31	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
32	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
33	Comparing Implementation Efficiency of Ordinary and Squared Pairings Christine Abegail Antonio1 , Satoru 2 and Ken Nakamula3 Department of Mathematics, Tokyo Metropolitan University Minami-Osawa, Hachioji-shi Tokyo, Japa Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2007-12-07 19:51:10 Mathematics Cryptography Group theory Finite fields Weil pairing Elliptic curve Pairing Supersingular elliptic curve Tate pairing Abstract algebra Elliptic curves Algebra
34	Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field Ezekiel Justin Kachisa?1 , Edward F. Schaefer ??2 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2007-12-14 05:53:33 Elliptic curves Finite fields Number theory Cryptography Group theory Weil pairing Supersingular elliptic curve Algebraic number field Curve Abstract algebra Mathematics Algebra
35	Efficient Pairing Computation on Supersingular Abelian Varieties 3 ´ hEigeartaigh ´ Paulo S. L. M. Barreto1 , Steven Galbraith2 , Colm O Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2005-09-05 10:29:55 Elliptic curves Cryptography Differential geometry Supersingular elliptic curve Pairing Differential geometry of curves Weil pairing Elliptic divisibility sequence Abstract algebra Algebra Mathematics
36	1 A Note on Scalar Multiplication Using Division Polynomials Binglong Chen, Chuangqiang Hu and Chang-An Zhao Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-03-25 10:20:16 Elliptic curves Group theory Finite fields Number theory Cryptography Elliptic divisibility sequence Division polynomials Hyperelliptic curve cryptography Supersingular elliptic curve Algebra Abstract algebra Mathematics
37	Constructing pairing-friendly hyperelliptic curves using Weil restriction David Mandell Freeman (Stanford Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2011-04-01 18:55:43 Cryptography Algebraic surfaces Group theory Analytic number theory Abelian variety Supersingular elliptic curve Pairing Abstract algebra Algebra Elliptic curves
38	Constructing Abelian Varieties for Pairing-Based Cryptography Constructing Abelian Varieties for Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2009-05-04 09:49:01 Abelian varieties Algebraic curves Cryptography Finite fields Hasse–Witt matrix Weil pairing Supersingular elliptic curve Tate pairing Complex multiplication Abstract algebra Algebra Elliptic curves
39	CONSTRUCTING PAIRING-FRIENDLY HYPERELLIPTIC CURVES USING WEIL RESTRICTION DAVID MANDELL FREEMAN1 AND TAKAKAZU SATOH2 Abstract. A pairing-friendly curve is a curve over a finite field whose Jacobian has small embedding de Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2010-07-03 02:01:33 Algebraic curves Algebraic surfaces Elliptic curves Analytic number theory Abelian varieties Isogeny Hyperelliptic curve Supersingular elliptic curve Weil restriction Algebraic geometry Abstract algebra Geometry
40	Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10. David Freeman University of California, Berkeley [removed] Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:44 Elliptic curves Elementary algebra Equations Group theory Analytic number theory Supersingular elliptic curve Quartic function Curve Quadratic equation Mathematics Abstract algebra Algebra