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Supersingular elliptic curve
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#	Item
41	Constructing Abelian Varieties for Pairing-Based Cryptography by David Stephen Freeman A.B. (Harvard University) 2002 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:52 Elliptic curves Abelian varieties Cryptography Finite fields Complex multiplication Supersingular elliptic curve Pairing Abelian surface Frobenius endomorphism Abstract algebra Algebra Algebraic surfaces
42	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
43	UNIFORM FIRST-ORDER DEFINITIONS IN FINITELY GENERATED FIELDS BJORN POONEN Abstract. We prove that there is a first-order sentence in the language of rings that is true for all finitely generated fields of characteristic Add to Reading List Source URL: www-math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic number theory Galois theory Algebraic curves Analytic number theory Elliptic curve Frobenius endomorphism Finite field Field extension Supersingular elliptic curve Abstract algebra Algebra Field theory
44	The elliptic curve database to[removed]John Cremona University of Nottingham, UK ANTS 7: Berlin, 26 July 2006 1 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-07-31 10:39:01 Algebraic geometry Elliptic curves Modular forms Group theory Modular elliptic curve Atkin–Lehner theory Supersingular elliptic curve Classical modular curve Mathematical analysis Abstract algebra Analytic number theory
45	FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD D. BONEH, K. RUBIN, AND A. SILVERBERG Abstract. We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescri Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-05-03 13:25:59 Elliptic curves Finite fields Modular arithmetic Integer factorization algorithms Elliptic curve Supersingular elliptic curve Prime number Quadratic reciprocity Primality test Abstract algebra Mathematics Number theory
46	The elliptic curve database to[removed]John Cremona University of Nottingham, UK ANTS 7: Berlin, 26 July 2006 1 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-07-31 10:38:40 Algebraic geometry Elliptic curves Group theory Elliptic curve Supersingular elliptic curve Modular form Isogeny Polynomial Abstract algebra Mathematical analysis Analytic number theory
47	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
48	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
49	An Introduction to Pairing-Based Cryptography Alfred Menezes Abstract. Bilinear pairings have been used to design ingenious protocols for such tasks as one-round three-party key agreement, identity-based encryption, and Add to Reading List Source URL: cacr.uwaterloo.ca Language: English - Date: 2013-10-27 06:53:30 Pairing Boneh/Franklin scheme Elliptic curve cryptography Diffie–Hellman problem Elliptic curve ID-based encryption Tate pairing BLS Supersingular elliptic curve Cryptography Abstract algebra Algebra
50	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: eprint.iacr.org Language: English - Date: 2009-11-20 10:42:19 Elliptic curves Elliptic curve Supersingular elliptic curve Weil pairing Pairing Curve Algebraic number field Elliptic curve cryptography Elliptic divisibility sequence Abstract algebra Mathematics Algebra