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Elliptic curve
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#	Item
521	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
522	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
523	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
524	David Mandell Freeman (+[removed]Curriculum Vitae [removed] Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2012-06-11 19:59:59 Elliptic curve cryptography Algorithmic Number Theory Symposium Dan Boneh International Association for Cryptologic Research Pairing Lecture Notes in Computer Science International Cryptology Conference Elliptic curve PKC Cryptography Abstract algebra Finite fields
525	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
526	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
527	Abelian Varieties and Pairing-Based Cryptography Theoretical foundations Practical results Pairing-friendly Hyperelliptic Curves and Weil Restriction Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2009-09-23 22:25:58 Cryptography Algebraic curves Elliptic curves Algebraic surfaces Abelian varieties Weil pairing Pairing Tate pairing Hyperelliptic curve Abstract algebra Algebraic geometry Geometry
528	Fast arithmetic and pairing evaluation on genus 2 curves David Freeman University of California, Berkeley [removed] November 6, 2005 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:47 Group theory Polynomial Euclidean algorithm Finite fields Elliptic curves Integer factorization algorithms Lenstra elliptic curve factorization Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Mathematics Algebra
529	3-11 Hysteresis Signature and Its Related Technologies to Maintain the Digital Evidence for Network Activities in Future Society TOYOSHIMA Hisashi and MIYAZAKI Kunihiko Security Requirements are varied with rapid growth Add to Reading List Source URL: www.nict.go.jp Language: English - Date: 2013-11-21 18:59:46 Electronic signature Cryptographic hash function Hysteresis Elliptic Curve DSA Signature SHA-1 Message authentication code RSA ElGamal signature scheme Cryptography Public-key cryptography Digital signature
530	3-3 A Generalized Harley Algorithm for Genus Two Hyperelliptic Curves SUGIZAKI Hiroki, MATSUO Kazuto, CHAO Jinhui, and TSUJII Shigeo A fast addition algorithm for divisor classes of genus two hyperelliptic curves over fi Add to Reading List Source URL: www.nict.go.jp Language: English - Date: 2005-09-28 07:33:58 Algebraic curves Hyperelliptic curve Divisor Ample line bundle Elliptic curve Linear system of divisors Infrastructure Imaginary hyperelliptic curve Hyperelliptic curve cryptography Abstract algebra Algebraic geometry Algebra

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