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Multivariate Public Key Cryptosystems

By Jintai Ding , Jason E. Gower , Dieter S. Schmidt

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Multivariate public key cryptosystems (MPKC) is a fast-developing area in cryptography. This book systematically presents the subject matter for a broad audience and is the first book to focus on this exciting new topic.

Full Description

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  • ISBN13: 978-0-3873-2229-2
  • 278 Pages
  • User Level: Science
  • Publication Date: November 24, 2006
  • Available eBook Formats: PDF
Full Description
Multivariate public key cryptosystems (MPKC) is a fast-developing new area in cryptography. In the past 10 years, MPKC schemes have increasingly been seen as a possible alternative to number theoretic-based cryptosystems such as RSA, as they are generally more efficient in terms of computational effort. As quantum computers are developed, MPKC will become a necessary alternative. Multivariate Public Key Cryptosystems systematically presents the subject matter for a broad audience. Information security experts in industry can use the book as a guide for understanding what is needed to implement these cryptosystems for practical applications, and researchers in both computer science and mathematics will find this book a good starting point for exploring this new field. It is also suitable as a textbook for advanced-level students. Written more from a computational perspective, the authors provide the necessary mathematical theory behind MPKC; students with some previous exposure to abstract algebra will be well-prepared to read and understand the material.
Table of Contents

Table of Contents

  1. Preface.
  2. Introduction.
  3. Overview.
  4. Matsumoto
  5. Imai Cryptosystems.
  6. Oil
  7. Vinegar Signature Schemes.
  8. Hidden Field Equations.
  9. Internal Perturbation.
  10. Triangular Schemes.
  11. Direct Attacks.
  12. Future Research.
  13. Appendices.
  14. Basic Finite Field Theory.
  15. References.
  16. Index.

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