Cryptography, Information Theory, and Error-Correction - A Handbook for the 21st Century

Informationen zum Autor 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 EncodingWith 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 algorithmCryptography, 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. Zusammenfassung Stressing the interconnections of the areas of study, Cryptography, Information Theory, and Error-Correction offers a complete yet accessible account of the technologies shaping the twenty-first century. This title 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. Features include over 300 example problems and their solutions; the latest and most exciting new a...

List of contents

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.

Report

"...the book is a useful information source for all people interested in information security." ( Computing Reviews.com , January 18, 2006)
"The book is certainly to be recommended, and it can be used at various levels, as both a reference text an as a text for undergraduate and graduate courses..." ( Mathematical Reviews , 2006b)

"...readers of this book will find their enthusiasm for communication theory greatly stimulated..." ( CHOICE , December 2005)

"...although encyclopedic, is lively and engaging, written with palpable enthusiasm...a very readable text, one that encourages a reader to dip in and sample the treats." ( MAA Reviews , June 23, 2005)

"...one of the most outstanding works in this area; it will prove useful to a broad category of readers..." ( Computing Reviews.com , October 28, 2005)

Product details

• Authors: Aiden Bruen, Aiden A. Bruen, Aiden A. Forcinito Bruen, Mario A Forcinito, Mario A. Forcinito
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 01.02.2005
• EAN: 9780471653172
• ISBN: 978-0-471-65317-2
• No. of pages: 496
• Series: Wiley-Interscience Series in Discrete Mathematics and Optimization; Wiley-Interscience Series in Discrete Mathematics and Optimization
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Mathematik, Informatik, Kryptographie, informationstechnologie, Informationstheorie, Mathematics, computer science, cryptography, Information Technologies, Computer Security & Cryptography, Fehlerkorrekturcode, Computersicherheit u. Kryptographie