Geometries, Codes and Cryptography

  • G. Longo
  • M. Marchi
  • A. Sgarro

Part of the International Centre for Mechanical Sciences book series (CISM, volume 313)

Table of contents

  1. Front Matter
    Pages i-v
  2. Geometries and Codes

    1. Front Matter
      Pages N1-N1
    2. W. Heise
      Pages 77-99
    3. P. G. Farrell
      Pages 101-128
  3. Geometries and Cryptography

  4. Back Matter
    Pages 228-228

About this book

Introduction

The general problem studied by information theory is the reliable transmission of information through unreliable channels. Channels can be unreliable either because they are disturbed by noise or because unauthorized receivers intercept the information transmitted. In the first case, the theory of error-control codes provides techniques for correcting at least part of the errors caused by noise. In the second case cryptography offers the most suitable methods for coping with the many problems linked with secrecy and authentication. Now, both error-control and cryptography schemes can be studied, to a large extent, by suitable geometric models, belonging to the important field of finite geometries. This book provides an update survey of the state of the art of finite geometries and their applications to channel coding against noise and deliberate tampering. The book is divided into two sections, "Geometries and Codes" and "Geometries and Cryptography". The first part covers such topics as Galois geometries, Steiner systems, Circle geometry and applications to algebraic coding theory. The second part deals with unconditional secrecy and authentication, geometric threshold schemes and applications of finite geometry to cryptography. This volume recommends itself to engineers dealing with communication problems, to mathematicians and to research workers in the fields of algebraic coding theory, cryptography and information theory.

Keywords

algebra authentication coding coding theory communication cryptography finite geometry Geometrie information information theory

Editors and affiliations

  • G. Longo
    • 1
  • M. Marchi
    • 2
  • A. Sgarro
    • 2
  1. 1.University of TriesteItaly
  2. 2.University of UdineItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-2838-1
  • Copyright Information CISM Udine 1990
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-82205-0
  • Online ISBN 978-3-7091-2838-1
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • About this book
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