Codes, Cryptology and Curves with Computer Algebra

ISBN-13: 9780521817110 / Angielski / Twarda / 2017 / 606 str.

Ruud Pellikaan; Xin-Wen Wu; Stanislav Bulygin

Opis

Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.

Recenzje

I was impressed by the scope of the book: many topics in algebraic coding theory are addressed and now collected in one book. Someone reading the entire book, will obtain a very good overview of algebraic coding theory. Peter Beelen, Nieuw Archief voor Weskunde

Spis treści

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. Gröbner bases for coding and cryptology Stanislav Bulygin; 11. Codes on curves Ruud Pellikaan; 12. Coding and cryptology with computer algebra Stanislav Bulygin; References; Index.