Codes, Cryptology and Curves with Computer Algebra

Codes, Cryptology and Curves with Computer Algebra

Jurrius, Relinde (Universite de Neuchatel, Switzerland); Bulygin, Stanislav; Wu, Xin-Wen (Griffith University, Queensland); Pellikaan, Ruud (Technische Universiteit Eindhoven, The Netherlands)

Cambridge University Press

11/2017

606

Mole

Inglês

9780521520362

15 a 20 dias

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