Codes, cryptology and curves with computer algebra
Author(s)
Bibliographic Information
Codes, cryptology and curves with computer algebra
Cambridge University Press, 2018
- : hardback
- : paperback
Available at 12 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Other authors: Xin-Wen Wu, Stanislav Bulygin, Relinde Jurrius
Includes bibliographical references (p. [565]-585) and index
Description and Table of Contents
Description
This well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.
Table of Contents
- Preface Ruud Pellikaan
- 1. Error-correcting codes Ruud Pellikaan and Xin-Wen Wu
- 2. Code constructions and bounds on codes Ruud Pellikaan and Xin-Wen Wu
- 3. Weight enumeration Relinde Jurrius, Ruud Pellikaan and Xin-Wen Wu
- 4. Cyclic codes Ruud Pellikaan
- 5. Polynomial codes Ruud Pellikaan
- 6. Algebraic decoding Ruud Pellikaan and Xin-Wen Wu
- 7. Complexity and decoding Stanislav Bulygin, Ruud Pellikaan and Xin-Wen Wu
- 8. Codes and related structures Relinde Jurrius and Ruud Pellikaan
- 9. Cryptology Stanislav Bulygin
- 10. Groebner bases for coding and cryptology Stanislav Bulygin
- 11. Codes on curves Ruud Pellikaan
- 12. Coding and cryptology with computer algebra Stanislav Bulygin
- References
- Index.
by "Nielsen BookData"