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Weil algebra
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#	Item
31	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
32	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
33	Andr´ e WeilOne of the Century’s most influential pure mathematicians Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:22:20 Number theorists Nicolas Bourbaki Algebraic geometry Number theory Weil conjectures Alexander Grothendieck Riemann hypothesis Foundations of algebraic geometry Mordell–Weil theorem Mathematics Abstract algebra Conjectures
34	1 An Improvment of the Elliptic Net Algorithm Binglong Chen and Chang-An Zhao* Abstract In this paper we propose a modified Elliptic Net algorithm to compute pairings. By reducing the number of the Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-03-24 02:53:55 Cryptography Elliptic curves Finite fields Group theory Analytic number theory Pairing Elliptic curve cryptography Elliptic curve Weil pairing Abstract algebra Algebra Mathematics
35	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
36	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
37	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
38	Pairing-friendly Hyperelliptic Curves and Weil Restriction David Mandell Freeman1 (joint work with Takakazu Satoh2 ) 1 CWI Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2009-09-23 22:26:02 Algebraic curves Elliptic curves Cryptography Algebraic surfaces Abelian variety Niels Henrik Abel Weil pairing Hyperelliptic curve Pairing Algebraic geometry Abstract algebra Geometry
39	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 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2009-11-20 10:41:04 Elliptic curves Elliptic curve Supersingular elliptic curve Weil pairing Pairing Curve Algebraic number field Elliptic curve cryptography Elliptic divisibility sequence Abstract algebra Mathematics Algebra

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