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Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and J. van Leeuwen 1025 Advisory Board: W. Brauer D. Gries J. Stoer

Colin Boyd (Ed.) Cryptography and Coding 5th IMA Conference Cirencester, UK, December 18-20, 1995 Proceedings Springer

Series Editors Gerhard Goos Universit~it Karlsruhe Vincenz-Priessnitz-StraBe 3, D-76128 Karlsruhe, Germany Juris Hartmanis Department of Computer Science, Cornell University 4130 Upson Hall, Ithaca, NY 14853, USA Jan van Leeuwen Department of Computer Science,Utrecht University Padualaan 14, 3584 CH Utrecht, The Netherlands Volume Editor Colin Boyd The Manchester School of Engineering Oxford Road, M13 9PL, Manchester, UK Cataloging-in-Publication data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Cryptography and coding : 5th IMA conference, Cirencester, UK, December 18-20, 1995 ; proceedings / Colin Boyd (ed.). - Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo : Springer, 1995 (Lecture notes in computer science ; Vol. 1025) ISBN 3-540-60693-9 NE: Boyd, Colin [Hrsg.]; GT CR Subject Classification (1991): E.3-4, G.2.1, C.2, J.1 1991 Mathematics Subject Classification: 11T71, 68P25, 94A60, 94Bxx ISBN 3-540-60693-9 Springer-Verlag 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-Verlag. Violations are liable for prosecution under the German Copyright Law. 9 Springer-Verlag Berlin Heidelberg 1995 Printed in Germany Typesetting: Camera-ready by author SPIN 10512350 06/3142-5 4 3 2 1 0 Printed on acid-free paper

Preface The first IMA Conference on Cryptography and Coding took place in December 1986. The second conference had to wait another three years, but since December 1989 the series has become bi-annual. The topics of cryptography and coding are inextricably linked; indeed the modern theories of both have their roots in the seminal work of Shannon. This conference is perhaps unique in concentrating on both areas and provides a valuable opportunity to explore the fruitful relationships between the two; many of the papers in this volume are concerned with the overlap. This time there was a record of 48 papers submitted for inclusion. These were from an international authorship composed as follows: UK (27 submissions), France (4), Japan (2), Norway (2), Russia (2), Spain (2), Australia, Belgium, Germany, Italy, Malta, South Africa, Switzerland, USA, Yugoslavia. I would like to thank the authors of all papers, both those whose work is included in these Proceedings, and those whose work could not be accommodated. Without their months of research and painful writing up there would be no conference. As well as contributed papers we have been fortunate to enlist six eminent researchers to talk on particularly relevant topics of their choice. The record number of submitted papers put an additional strain on the committee members. I am very grateful to them all for their work in assessing the papers in a short time and for freely giving me the benefit of their experience and support in a variety of ways. They are: Mike Darnell (University of Leeds), Paddy Farrell (University of Manchester), Mick Ganley (Racal Airtech) John Gordon (Concept Laboratories), Chris Mitchell (Royal Holloway), Fred Piper (Royal Holloway), Michael Walker (Vodaphone). I would also like to thank Pamela Bye, IMA Conference Officer, who dealt with all correspondence with the authors and was always ready to give advice and assistance. The papers in this volume are presented in the order that they are intended to appear in the conference programme. As has become traditional at this conference, papers are not divided into related groups but are 'randomly' mixed. Colin Boyd Manchester, October 1995

Contents Design Choices and Security Implications in Implementing Diffie-Hellman Key Agreement (Invited Talk)... 1 Paul C. van Oorschot (Bell-Northern Research, Ottawa) A Broadcast Key Distribution Scheme Based on Block Designs... 2 Valeri Korjik, Michael Ivkov, Yuri Merinovich, (St.Petersburg University of Telecommunications) Alexander Barg, Henk C.A. van Tilborg (Eindhoven University of Technology) Minimal Supports in Linear Codes (Abstract)... 13 Alexei Ashikhmin (Delft University of Technology), Alexander Barg (Eindhoven University of Technology) Sequential Decoding for a Subcode of Reed Solomon Codes... 14 Sooyoung Kim Shin, Peter Sweeney (University of Surrey) Linear Span Analysis of a Set of Periodic Sequence Generators... 22 P. Caballero-Gil (University of La Laguna), A. Fdster-Sabater (CSIC, Madrid) Minimal Weight k-sr Representations... 34 Yongfei Han, Dieter Gollmann, Chris Mitchell (University of London) The Main Conjecture for MDS Codes (Invited Talk)... 44 J. W.P. Hirschfeld (University of Sussex) Some Decoding Applications of Minimal Realization... 53 Graham Norton (University of Bristol) The Synthesis of Perfect Sequences... 63 P.Z. Fan, M. Darnell (University of Leeds) Computation of Low-Weight Parity Checks for Correlation Attacks on Stream Ciphers... 74 W.T. Penzhorn, G.J. Kiihn (University of Pretoria) A Storage Complexity Based Analogue of Maurer Key Esablishment Using Public Channels... 84 C.J. Mitchell (University of London) Soft Decision Decoding of Reed Solomon Codes Using the Dorsch Algorithm... 94 H.P. Ho, P. Sweeney (University of Surrey)

VIII Good Codes Based on Very Sparse Matrices... 100 David J.C. MacKay (University of Cambridge), Radford M. Neal (University of Toronto) Quantum Cryptography: Protecting our Future Networks with Quantum Mechanics (Invited Talk)... 112 Simon J.D. Phoenix, Paul D. Townsend (BT Laboratories) Prepaid Electronic Cheques Using Public-Key Certificates... 132 Cristian Radu, Rend Govaerts, Joos Vandewalle (Katholieke Universiteit Leuven) How Traveling Salespersons Prove Their Identity... 142 Stefan Lucks (Georg-August-Universitdt, G~ttingen) An Elliptic Curve Analogue of McCurley's Key Agreement Scheme... 150 Andrew Smith, Colin Boyd (University of Manchester) Multi-Dimensional Ring TCM Codes for Fading Channels... 158 M. Ahmadian-Attari, P.G. Farrell (University of Manchester) Authentication Codes: an Area where Coding and Cryptology Meet (Invited Talk)... 169 Henk C.A. van Tilborg (Eindhoven University of Technology) Efficient Generation of Binary Words of Given Weight... 184 Nicolas Sendrier (INRIA) Distribution of Recurrent Sequences Modulo Prime Powers (Abstract)... 188 Richard G.E. Pinch (University of Cambridge) On-Line Secret Sharing... 190 Christian Cachin (ETH Ziirich) Church-Rosser Codes... 199 Vladimir A. Oleshchuk (Agder College, Grimstad) A New Algorithm for Finding Minimum-Weight Words in Large Linear Codes... 205 Anne Canteaut (INRIA Projet Codes) Coding and Cryptography for Speech and Vision (Invited Talk)... 213 E. V. Stansfield (Racal Research), M. Walker (Vodafone) Some Constructions of Generalised Concatenated Codes Based on Unit Memory Codes (Invited Talk)... 237 Victor Zyablov (Institute for Problems of Information Transmission, Moscow), Sergo Shavgulidze (Georgian Technical University), Jorn Justesen (Technical University of Denmark)

I A Note on the Hash Function of Tillich and Z~mor... 257 Willi Geiselmann (University of London) Cryptanalysis of Harari's Identification Scheme... 264 Pascal Vgron (Universitg de Toulon et du Var) Analysis of Sequence Segment Keying as a Method of CDMA Transmission... 270 T.M. Quirke, M. Darnell (University of Leeds) Constructions for Variable-Length Error-Correcting Codes... 282 Victor Buttigieg (University of Malta), Patrick G. Farrell (University of Manchester)