Ruud Pellikaan, Xin-Wen Wu, Stanislav Bulygin, Relinde JurriusCambridge University Press, 11/2/2017EAN 9780521520362, ISBN10: 0521520363Paperback, 606 pages, 22.6 x 15.2 x 3 cmLanguage: EnglishThis 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.Preface Ruud Pellikaan1. Error-correcting codes Ruud Pellikaan and Xin-Wen Wu2. Code constructions and bounds on codes Ruud Pellikaan and Xin-Wen Wu3. Weight enumeration Relinde Jurrius, Ruud Pellikaan and Xin-Wen Wu4. Cyclic codes Ruud Pellikaan5. Polynomial codes Ruud Pellikaan6. Algebraic decoding Ruud Pellikaan and Xin-Wen Wu7. Complexity and decoding Stanislav Bulygin, Ruud Pellikaan and Xin-Wen Wu8. Codes and related structures Relinde Jurrius and Ruud Pellikaan9. Cryptology Stanislav Bulygin10. Gröbner bases for coding and cryptology Stanislav Bulygin11. Codes on curves Ruud Pellikaan12. Coding and cryptology with computer algebra Stanislav BulyginReferencesIndex.
