Hyperelliptic curve

Results: 124



#Item
51Logarithms / Computational hardness assumptions / Finite fields / Modular arithmetic / Discrete logarithm / Index calculus algorithm / Hyperelliptic curve / Elliptic curve / Pohlig–Hellman algorithm / Abstract algebra / Mathematics / Group theory

Simplified Settings for Discrete Logarithms in Small Characteristic Finite Fields Antoine Joux CryptoExperts, Fondation UPMC, LIP6, INRIA/Ouragan Joint work with Cécile Pierrot

Add to Reading List

Source URL: www.iacr.org

Language: English - Date: 2015-03-30 09:17:58
52Field theory / Polynomials / Hyperelliptic curve / Elliptic curve / Number theory / Finite field / Prime number / Field / Hyperelliptic curve cryptography / Abstract algebra / Mathematics / Algebra

Polynomial arithmetic and applications in number theory David Harvey September 26, 2008

Add to Reading List

Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-07-17 23:06:27
53Algebraic curves / Group theory / Finite fields / Vector bundles / Hyperelliptic curve / Elliptic curve / Ample line bundle / Curve / Hyperelliptic curve cryptography / Abstract algebra / Geometry / Algebraic geometry

Counting points on hyperelliptic curves David Harvey University of New South Wales 19th November 2012, CARMA, University of Newcastle

Add to Reading List

Source URL: web.maths.unsw.edu.au

Language: English - Date: 2012-11-18 17:20:36
54Mathematics / Supersingular elliptic curve / Hyperelliptic curve cryptography / Curve / Hessian form of an elliptic curve / Classical modular curve / Abstract algebra / Elliptic curves / Cryptography

Fast hashing to G2 on pairing friendly curves Michael Scott, Naomi Benger, Manuel Charlemagne, Luis J. Dominguez Perez, and Ezekiel J. Kachisa School of Computing Dublin City University Ballymun, Dublin 9, Ireland.

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2008-12-18 11:36:28
55Geometry / Elliptic curve / Hyperelliptic curve / Divisor / Abelian variety / Lenstra elliptic curve factorization / Imaginary hyperelliptic curve / Abstract algebra / Algebraic geometry / Algebraic curves

A SPECTS OF H YPERELLIPTIC C URVES OVER L ARGE P RIME F IELDS IN S OFTWARE I MPLEMENTATIONS Roberto Maria Avanzi Institute for Experimental Mathematics (IEM) Ellernstrasse 29, DEssen, Germany

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2003-12-17 09:09:41
56Algebraic curves / Cryptography / Hyperelliptic curve / Elliptic curve / Covering space / Abelian variety / Ample line bundle / Abstract algebra / Algebraic geometry / Topology

Classification of Elliptic/hyperelliptic Curves with Weak Coverings against GHS Attack without Isogeny Condition Tsutomu Iijima ∗

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2013-11-21 23:49:35
57Analytic number theory / Algebra / Elliptic curve / Group theory / Hyperelliptic curve / Curry–Howard correspondence / Ordinal number / Hyperelliptic curve cryptography / Imaginary hyperelliptic curve / Abstract algebra / Algebraic curves / Mathematics

ISOMORPHISM CLASSES OF HYPERELLIPTIC CURVES OF GENUS 3 OVER FINITE FIELDS EUNKYUNG JEONG DEPARTMENT OF MATHEMATICS POHANG UNIVERSITY OF SCIENCE AND TECHNOLOGY POHANG, 790–784, KOREA

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2003-11-30 23:34:48
58Elliptic curves / Twisted Edwards curve / Elliptic curve / Montgomery curve / Edwards curve / Hyperelliptic curve cryptography / Curve / Elliptic Curve DSA / Table of costs of operations in elliptic curves / Cryptography / Elliptic curve cryptography / Abstract algebra

Twisted Edwards-Form Elliptic Curve Cryptography for 8-bit AVR-based Sensor Nodes Dalin Chu Johann Großschädl

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2013-03-25 20:03:52
59Group theory / Algebraic curves / Hyperelliptic curve cryptography / Public-key cryptography / Hyperelliptic curve / Elliptic curve / XTR / Discrete logarithm / RAR / Abstract algebra / Finite fields / Cryptography

Efficient Implementation of Genus Three Hyperelliptic Curve Cryptography over F2n Izuru Kitamura and Masanobu Katagi Sony Corporation, Kitashinagawa Shinagawa-ku, Tokyo, Japan {Izuru.Kitamura, Masanobu.Ka

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2003-11-28 08:21:17
60Algebraic curves / Moduli theory / Abelian varieties / Riemann surfaces / Schottky problem / Modular form / Hyperelliptic curve / Moduli space / Jacobian variety / Algebraic geometry / Abstract algebra / Geometry

Satake compactications, Lattices and Schottky problem Giulio Codogni University of Cambridge Selwyn College

Add to Reading List

Source URL: ricerca.mat.uniroma3.it

Language: English - Date: 2014-06-09 03:35:57
UPDATE