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Coding Theory and Cryptography

From Enigma and Geheimschreiber to Quantum Theory

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. David Joyner

    1. Department of Mathematics, US Naval Academy, Annapolis, USA

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  • The book covers up-to-date research in the form of surveys in an extremely hot field.
  • Includes supplementary material: sn.pub/extras

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Table of contents (13 papers)

  1. Front Matter

    Pages I-VII
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  2. Reminiscences and Reflections of a Codebreaker

    • Peter Hilton
    Pages 1-8

  3. FISH and I

    • W. T. Tutte
    Pages 9-17

  4. Sturgeon, The FISH BP Never Really Caught

    • Frode Weierud
    Pages 18-52

  5. ENIGMA and PURPLE: How the Allies Broke German and Japanese Codes During the War

    • David A. Hatch
    Pages 53-61

  6. The Geheimschreiber Secret

    • Lars Ulfving, Frode Weierud
    Pages 62-100

  7. The RSA Public Key Cryptosystem

    • William P. Wardlaw
    Pages 101-123

  8. Number Theory and Cryptography (using Maple)

    • John Cosgrave
    Pages 124-143

  9. A Talk on Quantum Cryptography or How Alice Outwits Eve

    • Samuel J. Lomonaco Jr.
    Pages 144-174

  10. The Rigidity Theorems of Hamada and Ohmori, Revisited

    • T. S. Michael
    Pages 175-179

  11. Counting Prime Divisors on Elliptic Curves and Multiplication in Finite Fields

    • M. Amin Shokrollahi
    Pages 180-201

  12. On Cyclic MDS-Codes

    • M. Amin Shokrollahi
    Pages 202-213

  13. Computing Roots of Polynomials over Function Fields of Curves

    • Shuhong Gao, M. Amin Shokrollahi
    Pages 214-228

  14. Remarks on codes from modular curves: MAPLE applications

    • David Joyner, Salahoddin Shokranian
    Pages 229-250

  15. Back Matter

    Pages 251-256
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Keywords

About this book

These are the proceedings of the Conference on Coding Theory, Cryptography, and Number Theory held at the U. S. Naval Academy during October 25-26, 1998. This book concerns elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory. Some of these papers are expository, whereas others are the result of original research. The emphasis is on geometric Goppa codes (Shokrollahi, Shokranian-Joyner), but there is also a paper on codes arising from combinatorial constructions (Michael). There are both, historical and mathematical papers on cryptography. Several of the contributions on cryptography describe the work done by the British and their allies during World War II to crack the German and Japanese ciphers (Hamer, Hilton, Tutte, Weierud, Urling). Some mathematical aspects of the Enigma rotor machine (Sherman) and more recent research on quantum cryptography (Lomonoco) are described. There are two papers concerned with the RSA cryptosystem and related number-theoretic issues (Wardlaw, Cosgrave).

Editors and Affiliations

  • Department of Mathematics, US Naval Academy, Annapolis, USA

    David Joyner

Bibliographic Information

  • Book Title: Coding Theory and Cryptography

  • Book Subtitle: From Enigma and Geheimschreiber to Quantum Theory

  • Editors: David Joyner

  • DOI: https://doi.org/10.1007/978-3-642-59663-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-66336-2Published: 23 November 1999

  • eBook ISBN: 978-3-642-59663-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VII, 256

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Combinatorics, Coding and Information Theory, Number Theory, Cryptology, Data Structures and Information Theory

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