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Hyperelliptic curve
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#	Item
31	Ren´e Schoof, Elliptic curves over finite fields. VU, OctoberIntroduction. Let E be an elliptic curve over a finite field Fq . Then E is a smooth cubic in P2 . It can Add to Reading List Source URL: www.cosic.esat.kuleuven.be Language: English Mathematics Algebra Group theory Geometry Analytic number theory Elliptic curve Divisor Differential forms Imaginary hyperelliptic curve Banach fixed-point theorem
32	A Faster way to do ECC Mike Scott Dublin City University Joint work with Steven Galbraith Royal Holloway, University of London Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-09-27 14:59:29 Elliptic curves Abstract algebra Algebra Group theory Elliptic curve cryptography Analytic number theory Elliptic curve Mathematics Finite fields Supersingular elliptic curve
33	Binary Edwards Curves Reza Rezaeian Farashahi Dept. of Mathematics and Computing Science TU Eindhoven joint work with: and Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-03 15:27:31 Elliptic curve cryptography Elliptic curves Abstract algebra Algebra Edwards curve Elliptic curve Mathematics
34	Bilinear Pairings in Cryptography Master thesis #603 by Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2009-07-13 10:25:27 Elliptic curve cryptography Pairing-based cryptography Public-key cryptography Group theory Finite fields Tate pairing Hyperelliptic curve Weil pairing BonehLynnShacham BonehFranklin scheme Pairing ID-based encryption
35	ECCEfficient and Generalized Pairing Computation on Abelian Varieties Hyang-Sook Lee Ewha Womans University Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-03 22:36:38 Pairing-based cryptography Elliptic curve cryptography Elliptic curves Linear algebra Module theory Pairing Tate pairing Divisor Elliptic curve Weil pairing
36	Elliptic Curve Hash (and Sign) ECOH (and the 1-up problem for ECDSA) Daniel R. L. Brown Certicom Research ECC 2008, Utrecht, Sep Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-09-27 14:59:29 Cryptography Cryptographic hash functions Error detection and correction SHA-1 SHA-2 MD5 NIST hash function competition SHA-3 Elliptic curve only hash Elliptic Curve Digital Signature Algorithm Libgcrypt FORK-256
37	Introduction The CRT method Examples and Results Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-03 22:36:32 Mathematics Mathematical analysis Geometry Group theory Analytic number theory Elliptic curve Polynomial Prime number Curve Pi
38	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology The 12th Workshop on Elliptic Curve Cryptography Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-09-27 14:59:29 Abstract algebra Algebra Mathematics Finite fields Integer factorization algorithms Group theory Elliptic curve cryptography Lenstra elliptic curve factorization Elliptic curves Elliptic curve Torsion Order
39	E-th roots and static Diffie-Hellman using index calculus Antoine Joux1 Joint work with Reynald Lercier2 , David Naccache3 , Emmanuel Thome´ 4 Elliptic Curve Cryptography 2008 Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-04 13:47:14 Cryptography Abstract algebra Algebra Finite fields Public-key cryptography Computational hardness assumptions Group theory DiffieHellman key exchange Index calculus algorithm RSA Discrete logarithm Elliptic curve cryptography
40	Point counting in genus 2: reaching 128 bits P. Gaudry ´ Schost Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-03 23:31:57 Differential geometry Curvature Curves Algebraic surfaces Group theory Abelian variety Resultant Elliptic curve Torsion tensor Kummer surface Polynomial Torsion of a curve