Hyperelliptic curve

Results: 124



#Item
31Mathematics / Algebra / Group theory / Geometry / Analytic number theory / Elliptic curve / Divisor / Differential forms / Imaginary hyperelliptic curve / Banach fixed-point theorem

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

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Source URL: www.cosic.esat.kuleuven.be

Language: English
32Elliptic curves / Abstract algebra / Algebra / Group theory / Elliptic curve cryptography / Analytic number theory / Elliptic curve / Mathematics / Finite fields / Supersingular elliptic curve

A Faster way to do ECC Mike Scott Dublin City University Joint work with Steven Galbraith Royal Holloway, University of London

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-09-27 14:59:29
33Elliptic curve cryptography / Elliptic curves / Abstract algebra / Algebra / Edwards curve / Elliptic curve / Mathematics

Binary Edwards Curves Reza Rezaeian Farashahi Dept. of Mathematics and Computing Science TU Eindhoven joint work with: and

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-10-03 15:27:31
34Elliptic 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

Bilinear Pairings in Cryptography Master thesis #603 by

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Source URL: www.math.ru.nl

Language: English - Date: 2009-07-13 10:25:27
35Pairing-based cryptography / Elliptic curve cryptography / Elliptic curves / Linear algebra / Module theory / Pairing / Tate pairing / Divisor / Elliptic curve / Weil pairing

ECCEfficient and Generalized Pairing Computation on Abelian Varieties Hyang-Sook Lee Ewha Womans University

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-10-03 22:36:38
36Cryptography / 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

Elliptic Curve Hash (and Sign) ECOH (and the 1-up problem for ECDSA) Daniel R. L. Brown Certicom Research ECC 2008, Utrecht, Sep

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-09-27 14:59:29
37Mathematics / Mathematical analysis / Geometry / Group theory / Analytic number theory / Elliptic curve / Polynomial / Prime number / Curve / Pi

Introduction The CRT method Examples and Results

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-10-03 22:36:32
38Abstract algebra / Algebra / Mathematics / Finite fields / Integer factorization algorithms / Group theory / Elliptic curve cryptography / Lenstra elliptic curve factorization / Elliptic curves / Elliptic curve / Torsion / Order

Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology The 12th Workshop on Elliptic Curve Cryptography

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-09-27 14:59:29
39Cryptography / 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

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

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-10-04 13:47:14
40Differential geometry / Curvature / Curves / Algebraic surfaces / Group theory / Abelian variety / Resultant / Elliptic curve / Torsion tensor / Kummer surface / Polynomial / Torsion of a curve

Point counting in genus 2: reaching 128 bits P. Gaudry ´ Schost

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-10-03 23:31:57
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