Efficient Explicit Formulae for Genus 2 Hyperelliptic Curves over Prime Fields and Their Implementations
We analyze all the cases and propose the corresponding explicit formulae for computing 2D 1 + D 2 in one step from given divisor classes D 1 and D 2 on genus 2 hyperelliptic curves defined over prime fields. Compared with naive method, the improved formul
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Editorial Board David Hutchison Lancaster University, UK Takeo Kanade Carnegie Mellon University, Pittsburgh, PA, USA Josef Kittler University of Surrey, Guildford, UK Jon M. Kleinberg Cornell University, Ithaca, NY, USA Friedemann Mattern ETH Zurich, Switzerland John C. Mitchell Stanford University, CA, USA Moni Naor Weizmann Institute of Science, Rehovot, Israel Oscar Nierstrasz University of Bern, Switzerland C. Pandu Rangan Indian Institute of Technology, Madras, India Bernhard Steffen University of Dortmund, Germany Madhu Sudan Massachusetts Institute of Technology, MA, USA Demetri Terzopoulos University of California, Los Angeles, CA, USA Doug Tygar University of California, Berkeley, CA, USA Moshe Y. Vardi Rice University, Houston, TX, USA Gerhard Weikum Max-Planck Institute of Computer Science, Saarbruecken, Germany
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CarlisleAdams Ali Miri Michael Wiener (Eds.)
Selected Areas in Cryptography 14th International Workshop, SAC 2007 Ottawa, Canada, August 16-17, 2007 Revised Selected Papers
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Volume Editors Carlisle Adams University of Ottawa, School of Information Technology and Engineering (SITE) SITE Building, 800 King Edward Avenue, Ottawa, Ontario K1N 6N5, Canada E-mail: [email protected] Ali Miri University of Ottawa, School of Information Technology and Engineering (SITE) and Department of Mathematics and Statistics Colonel By Hall (CBY), 161 Louis Pasture Street, Ottawa, Ontario K1N 6N5, Canada E-mail: [email protected] Michael Wiener Cryptographic Clarity 20 Hennepin Street, Nepean, Ontario K2J 3Z4, Canada E-mail: [email protected]
Library of Congress Control Number: 2007941250 CR Subject Classification (1998): E.3, D.4.6, K.6.5, F.2.1-2, C.2, H.4.3 LNCS Sublibrary: SL 4 – Security and Cryptology ISSN ISBN-10 ISBN-13
0302-9743 3-540-77359-2 Springer Berlin Heidelberg New York 978-3-540-77359-7 Springer Berlin Heidelberg New York
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Preface
SAC 2007 was the 14th in a series of annual workshops on Selected Areas in Cryptography. This is the first time this workshop was held at the University of Ottawa. Previous workshops were held at Queen’s University in Kingston (1994, 1996, 1998, 1999, and 2005), Carleton Un
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