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Cryptography, Information Theory, and Error-Correction

  • Fester Einband
  • 496 Seiten
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Security and privacy issues are hot topics in the media these days, and many fields of study are joining forces to address this gr... Weiterlesen
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Beschreibung

Security and privacy issues are hot topics in the media these days, and many fields of study are joining forces to address this growing area of concern. This accessible book contributes to the cross-disciplinary dialogue, presenting a unified look at encryption, error correction, and information theory appropriate for a wide range of readers.

Autorentext
AIDEN A. BRUEN, PHD, is a Professor of Mathematics and Statistics at the University of Calgary in Calgary, Alberta, Canada. He has over 100 published articles in refereed journals and has served for many years on the Editorial Board of Designs, Codes and Cryptography. His research interests include error-correcting codes, number theory, algebraic geometry, algebra finite geometries, information theory, and cryptography. MARIO A. FORCINITO, PHD, is a professional engineer with over ten years' experience as an industrial consultant. He is President of SUR Consultants in Engineering Science Inc., a member of the IEEE Computer Society, and has published extensively in peer-reviewed journals. Dr. Forcinito has experience lecturing on cryptography and numerical methods at several technical meetings.

Klappentext
Discover the first unified treatment of today's most essential information technologies- Compressing, Encrypting, and Encoding With identity theft, cybercrime, and digital file sharing proliferating in today's wired world, providing safe and accurate information transfers has become a paramount concern. The issues and problems raised in this endeavor are encompassed within three disciplines: cryptography, information theory, and error-correction. As technology continues to develop, these fields have converged at a practical level, increasing the need for a unified treatment of these three cornerstones of the information age. Stressing the interconnections of the disciplines, Cryptography, Information Theory, and Error-Correction offers a complete, yet accessible account of the technologies shaping the 21st century. This book contains the most up-to-date, detailed, and balanced treatment available on these subjects. The authors draw on their experience both in the classroom and in industry, giving the book's material and presentation a unique real-world orientation. With its reader-friendly style and interdisciplinary emphasis, Cryptography, Information Theory, and Error-Correction serves as both an admirable teaching text and a tool for self-learning. The chapter structure allows for anyone with a high school mathematics education to gain a strong conceptual understanding, and provides higher-level students with more mathematically advanced topics. The authors clearly map out paths through the book for readers of all levels to maximize their learning. This book: * Is suitable for courses in cryptography, information theory, or error-correction as well as courses discussing all three areas * Provides over 300 example problems with solutions * Presents new and exciting algorithms adopted by industry * Discusses potential applications in cell biology * Details a new characterization of perfect secrecy * Features in-depth coverage of linear feedback shift registers (LFSR), a staple of modern computing * Follows a layered approach to facilitate discussion, with summaries followed by more detailed explanations * Provides a new perspective on the RSA algorithm Cryptography, Information Theory, and Error-Correction is an excellent in-depth text for both graduate and undergraduate students of mathematics, computer science, and engineering. It is also an authoritative overview for IT professionals, statisticians, mathematicians, computer scientists, electrical engineers, entrepreneurs, and the generally curious.

Inhalt
Preface. I. CRYPTOGRAPHY. 1. History and Claude E. Shannon. 2. Classical Ciphers and Their Cryptanalysis. 3. RSA and Key Searches. 4. The Fundamentals of Modern Cryptography. 5. DES, AES and Operating Modes. 6. Elliptic Curve Cryptography (ECC). 7. General and Mathematical Attacks in Cryptography. 8. Topical Issues in Cryptography and Communications. II. INFORMATION THEORY. 9. Information Theory and Its Applications. 10. Random Variables and Entropy. 11. Source Coding, Data Compression, Redundancy. 12. Channels, Capacity, the Fundamental Theorem. 13. Signals, Sampling, S/N Ratio, Coding Gain. 14. Ergodic and Markov Sources, Language Entropy. 15. Perfect Secrecy: The New Paradigm. 16. Linear Feedback Shift Registers (LFSR). 17. The Genetic Code. III. ERROR-CORRECTION. 18. Error-Correction, Hadamard, and Bruen-Ott. 19. Finite Fields, Linear Algebra, and Number Theory. 20. Introduction to Linear Codes. 21. Linear Cyclic Codes and Shift Registers. 22. Reed Solomon and MDS Codes, Bruen-Thas-Blockhuis. 23. MDS Codes, Secret Sharing, Invariant Theory. 24. Key Reconciliation, Linear Codes, New Algorithms. ASCII. Shannon's Entropy Table. Glossary. Bibliography. Index.

Produktinformationen

Titel: Cryptography, Information Theory, and Error-Correction
Untertitel: A Handbook for the 21st Century
Autor:
EAN: 9780471653172
ISBN: 978-0-471-65317-2
Format: Fester Einband
Herausgeber: Wiley
Genre: Mathematik
Anzahl Seiten: 496
Gewicht: 1049g
Größe: H255mm x B185mm x T28mm
Jahr: 2005
Auflage: 1. Auflage