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Geometry / 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
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Document Date: 2003-12-17 09:09:41

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NTL / AMD / Mixed Coordinate Systems / Intel / /

Currency

pence / /

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Facility

S OFTWARE I MPLEMENTATIONS Roberto Maria Avanzi Institute / /

IndustryTerm

reduction algorithm / divisor class / point counting algorithm / software library / explicit arithmetic algorithm / cryptographic systems / cyclic / coordinate systems / reduction algorithms / software implementations / x86 processors / software library nuMONGO / inversion-free coordinate systems / software libraries / purpose software libraries / embedded hardware / /

Movie

D. 6 / /

OperatingSystem

Linux / GNU / /

Organization

MPLEMENTATIONS Roberto Maria Avanzi Institute for Experimental Mathematics / Commission of the European Communities / /

Person

Pierrick Gaudry / Christophe Doche / Kim Nguyen / Gerhard Frey / Nicolas Th´eriault / Tanja Lange / Christoph Paar / Jan Pelzl / Thomas Wollinger / Roberto Maria / /

Position

author / /

ProgrammingLanguage

EC / C++ / /

Technology

Alpha / reduction algorithms / 2.2 Composition Algorithms / cryptography / explicit arithmetic algorithm / 4 processor / Linux / DLP / second algorithm / reduction algorithm / x86 processors / point counting algorithm / two algorithms / extended Euclidean algorithm / /

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http /

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