Efficient Computation of the Best Quadratic Approximations of Cubic Boolean Functions

The problem of computing best quadratic approximations of a subset of cubic functions with arbitrary number of variables is treated in this paper. We provide methods for their efficient calculation by means of best affine approximations of quadratic funct

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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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Steven D. Galbraith (Ed.)

Cryptography and Coding 11th IMA International Conference Cirencester, UK, December 18-20, 2007 Proceedings

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Volume Editor Steven D. Galbraith Royal Holloway University of London Mathematics Department Egham, Surrey, TW20 0EX, UK E-mail: [email protected]

Library of Congress Control Number: 2007940956 CR Subject Classification (1998): E.3-4, G.2.1, C.2, J.1 LNCS Sublibrary: SL 4 – Security and Cryptology ISSN ISBN-10 ISBN-13

0302-9743 3-540-77271-5 Springer Berlin Heidelberg New York 978-3-540-77271-2 Springer Berlin Heidelberg New York

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 2007 Printed in Germany Typesetting: Camera-ready by author, data conversion by Scientific Publishing Services, Chennai, India Printed on acid-free paper SPIN: 12203093 06/3180 543210

Preface

The 11th IMA Conference on Cryptography and Coding was held at the Royal Agricultural College, Cirencester, UK during December 18–20, 2007. As usual, the venue provided a relaxed and convivial atmosphere for attendees to enjoy the conference programme and discuss current and future research ideas. The programme comprised three invited talks and 22 contributed papers. The invited speakers were Jonathan Katz (University of Maryland, USA), Patrick Sol´e (Ecole Polytechnique de l’Universit´e de Nice-Sophia Antipolis, France) and Whit Diffie (Sun Microsystems, USA). Special thanks are due to these speakers. Two of the invited speakers provided papers, included in this volume, which highlight the connections between cryptography, coding theory and discret