Weil pairing

Results: 43



#Item
21Cryptography / Algebraic surfaces / Group theory / Analytic number theory / Abelian variety / Supersingular elliptic curve / Pairing / Abstract algebra / Algebra / Elliptic curves

Constructing pairing-friendly hyperelliptic curves using Weil restriction David Mandell Freeman (Stanford

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Source URL: theory.stanford.edu

Language: English - Date: 2011-04-01 18:55:43
22Abelian varieties / Algebraic curves / Cryptography / Finite fields / Hasse–Witt matrix / Weil pairing / Supersingular elliptic curve / Tate pairing / Complex multiplication / Abstract algebra / Algebra / Elliptic curves

Constructing Abelian Varieties for Pairing-Based Cryptography Constructing Abelian Varieties for

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Source URL: theory.stanford.edu

Language: English - Date: 2009-05-04 09:49:01
23Algebraic curves / Algebraic surfaces / Elliptic curves / Analytic number theory / Abelian varieties / Isogeny / Hyperelliptic curve / Supersingular elliptic curve / Weil restriction / Algebraic geometry / Abstract algebra / Geometry

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

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Source URL: theory.stanford.edu

Language: English - Date: 2010-07-03 02:01:33
24Algebraic curves / Elliptic curves / Cryptography / Algebraic surfaces / Abelian variety / Niels Henrik Abel / Weil pairing / Hyperelliptic curve / Pairing / Algebraic geometry / Abstract algebra / Geometry

Pairing-friendly Hyperelliptic Curves and Weil Restriction David Mandell Freeman1 (joint work with Takakazu Satoh2 ) 1 CWI

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Source URL: theory.stanford.edu

Language: English - Date: 2009-09-23 22:26:02
25Elliptic curves / Elliptic curve / Supersingular elliptic curve / Weil pairing / Pairing / Curve / Algebraic number field / Elliptic curve cryptography / Elliptic divisibility sequence / Abstract algebra / Mathematics / Algebra

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

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Source URL: theory.stanford.edu

Language: English - Date: 2009-11-20 10:41:04
26Cryptography / Algebraic curves / Elliptic curves / Algebraic surfaces / Abelian varieties / Weil pairing / Pairing / Tate pairing / Hyperelliptic curve / Abstract algebra / Algebraic geometry / Geometry

Abelian Varieties and Pairing-Based Cryptography Theoretical foundations Practical results Pairing-friendly Hyperelliptic Curves and Weil Restriction

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Source URL: theory.stanford.edu

Language: English - Date: 2009-09-23 22:25:58
27Elliptic 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
28Finite 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
29Pairing / Weil pairing / BLS / Elliptic curve / Digital signature / Hyperelliptic curve / XDH assumption / Paulo S. L. M. Barreto / Cryptography / Abstract algebra / Algebra

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

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Source URL: crypto.stanford.edu

Language: English - Date: 2015-02-08 21:22:14
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