Aiden A. Bruen

Mario A. Forcinito

James M. McQuillan

CRYPTOGRAPHY, INFORMATION THEORY, AND ERROR-CORRECTION A rich examination of the technologies supporting secure digital information transfers from respected leaders in the field As technology continues to evolve Cryptography, Information Theory, and Error-Correction: A Handbook for the 21ST Century is an indispensable resource for anyone interested in the secure exchange of financial information. Identity theft, cybercrime, and other security issues have taken center stage as information becomes easier to access. Three disciplines offer solutions to these digital challenges: cryptography, information theory, and error-correction, all of which are addressed in this book. This book is geared toward a broad audience. It is an excellent reference for both graduate and undergraduate students of mathematics, computer science, cybersecurity, and engineering. It is also an authoritative overview for professionals working at financial institutions, law firms, and governments who need up-to-date information to make critical decisions. The book’s discussions will be of interest to those involved in blockchains as well as those working in companies developing and applying security for new products, like self-driving cars. With its reader-friendly style and interdisciplinary emphasis this book serves as both an ideal teaching text and a tool for self-learning for IT professionals, statisticians, mathematicians, computer scientists, electrical engineers, and entrepreneurs. Six new chapters cover current topics like Internet of Things security, new identities in information theory, blockchains, cryptocurrency, compression, cloud computing and storage. Increased security and applicable research in elliptic curve cryptography are also featured. The book also: Shares vital, new research in the field of information theory Provides quantum cryptography updates Includes over 350 worked examples and problems for greater understanding of ideas. Cryptography, Information Theory, and Error-Correction guides readers in their understanding of reliable tools that can be used to store or transmit digital information safely.

A Handbook for the 21st Century

Cryptography, Information Theory, and Error-Correction

Discover the first unified treatment of today's most essentialinformation technologies— Compressing, Encrypting, andEncoding With identity theft, cybercrime, and digital file sharingproliferating in today's wired world, providing safe and accurateinformation transfers has become a paramount concern. The issuesand problems raised in this endeavor are encompassed within threedisciplines: cryptography, information theory, anderror-correction. As technology continues to develop, these fieldshave converged at a practical level, increasing the need for aunified treatment of these three cornerstones of the informationage. Stressing the interconnections of the disciplines, Cryptography,Information Theory, and Error-Correction offers a complete, yetaccessible account of the technologies shaping the 21st century.This book contains the most up-to-date, detailed, and balancedtreatment available on these subjects. The authors draw on theirexperience both in the classroom and in industry, giving the book'smaterial and presentation a unique real-world orientation. With its reader-friendly style and interdisciplinary emphasis,Cryptography, Information Theory, and Error-Correction serves asboth an admirable teaching text and a tool for self-learning. Thechapter structure allows for anyone with a high school mathematicseducation to gain a strong conceptual understanding, and provideshigher-level students with more mathematically advanced topics. Theauthors clearly map out paths through the book for readers of alllevels to maximize their learning. This book: Is suitable for courses in cryptography, information theory, orerror-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, withsummaries followed by more detailed explanations Provides a new perspective on the RSA algorithm Cryptography, Information Theory, and Error-Correction is anexcellent in-depth text for both graduate and undergraduatestudents of mathematics, computer science, and engineering. It isalso an authoritative overview for IT professionals, statisticians,mathematicians, computer scientists, electrical engineers,entrepreneurs, and the generally curious.

David L. Wehlau

This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, On, Canada from December 5-6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8-10, 2007. The volume features cutting-edge theoretical results on the Reed-Muller and Reed-Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0, 1) matrices with forbidden configurations, Andre embeddings, and representations of projective spaces in affine planes. Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interst and of benefit both to the experienced and to newcomers alike.

Conference on Error-control Codes, Information Theory, and Applied Cryptography, December 5-6, 2007, Fields Institute, Toronto, Ontario, Canada : Canadian Mathematical Society Special Session on Error Control Codes, Information Theory, and Applied Cryptography, Dec 8-10, 2007, CMS Winter Meeting, London, Ontario, Canada

Aiden A. Bruen

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