Combinatorial Designs: De Gruyter Series in Discrete Mathematics and Applications, cartea 3
Autor Stelios Georgiou, Christos Koukouvinosen Limba Engleză Hardback – 15 ian 2017
The book strikes a good balance between theoretical material and applications. There is a first part devoted to the background and also recent results on combinatorial designs. There are wellknown applications of combinatorial designs to coding theory and cryptography. These as well as new developments are covered in the second and third part of the proposed book.
There is a good portion of material in this book that is not treated elsewhere in the expository literature. This makes the book a unique entry in its kind. Although the topic is important, there are very few books that offer the same level of depth in the specific applications covered in this textbook. In particular, some key features that make this book unique in the fields of Combinatorial Design Theory, Coding Theory and Cryptography are:
- Combinatorial algorithms for compatible sequences and related complexity analysis
- State-of-the-art coverage of results for classes of combinatorial designs
- Competent metaheuristic algorithms for combinatorial designs for the first time
- Dozen of constructions for self-dual and quasi-cyclic codes
- Overview of private-key and secret-sharing cryptography in Design Theory
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Specificații
ISBN-13: 9783110294088
ISBN-10: 3110294087
Pagini: 520
Ilustrații: 10 Schwarz-Weiß- Abbildungen, 50 Schwarz-Weiß- Tabellen
Dimensiuni: 210 x 240 mm
Editura: WALTER DE GRUYTER INC
Seria De Gruyter Series in Discrete Mathematics and Applications
Locul publicării:Berlin/Boston
ISBN-10: 3110294087
Pagini: 520
Ilustrații: 10 Schwarz-Weiß- Abbildungen, 50 Schwarz-Weiß- Tabellen
Dimensiuni: 210 x 240 mm
Editura: WALTER DE GRUYTER INC
Seria De Gruyter Series in Discrete Mathematics and Applications
Locul publicării:Berlin/Boston
Notă biografică
Christos Koukouvinos and Dimitris E. Simos, Athens, Greece; Stelios Georgiou, Melbourne, Australia.
Cuprins
AD> • Part I: Combinatorial Design Theory 1. Compatible Sequences 2. Hadamard Matrices 3. Weighing Matrices and Orthogonal Designs 4. Competent Metaheuristics for Combinatorial Designs
• Part II: Coding Theory 5. Self-Dual Codes 6. Quasi-Cyclic Codes
• Part III: Cryptography 7. Private-Key Cryptosystems 8. Secret-Sharing Schemes
. Supplementary Material . Index . List of Algorithms, Tables and Figures
• Part II: Coding Theory 5. Self-Dual Codes 6. Quasi-Cyclic Codes
• Part III: Cryptography 7. Private-Key Cryptosystems 8. Secret-Sharing Schemes
. Supplementary Material . Index . List of Algorithms, Tables and Figures