Cryptography, Information Theory, and Error-Correction
Cryptography, Information Theory, and Error-Correction

Author: Aiden A. Bruen

Publisher: John Wiley & Sons

Published: 2011-09-28

Total Pages: 496

ISBN-13: 1118031385

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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.

Information-theoretic Cryptography
Information-theoretic Cryptography

Author: Himanshu Tyagi

Publisher: Cambridge University Press

Published: 2023-04-13

Total Pages: 520

ISBN-13: 1108598684

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This book offers a mathematical foundation for modern cryptography. It is primarily intended as an introduction for graduate students. Readers should have basic knowledge of probability theory, but familiarity with computational complexity is not required. Starting from Shannon's classic result on secret key cryptography, fundamental topics of cryptography, such as secret key agreement, authentication, secret sharing, and secure computation, are covered. Particular attention is drawn to how correlated randomness can be used to construct cryptographic primitives. To evaluate the efficiency of such constructions, information-theoretic tools, such as smooth min/max entropies and information spectrum, are developed. The broad coverage means the book will also be useful to experts as well as students in cryptography as a reference for information-theoretic concepts and tools.

Information Theoretic Security and Privacy of Information Systems
Information Theoretic Security and Privacy of Information Systems

Author: Rafael F. Schaefer

Publisher: Cambridge University Press

Published: 2017-06-16

Total Pages: 581

ISBN-13: 1107132266

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Learn how information theoretic approaches can inform the design of more secure information systems and networks with this expert guide. Covering theoretical models, analytical results, and the state of the art in research, it will be of interest to researchers, graduate students, and practitioners working in communications engineering.

Group Theoretic Cryptography
Group Theoretic Cryptography

Author: Maria Isabel Gonzalez Vasco

Publisher: CRC Press

Published: 2015-04-01

Total Pages: 244

ISBN-13: 1584888377

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Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this approach. The authors provide the needed cryptographic and group theoretic concepts, full proofs of essential theorems, and formal security evaluations of the cryptographic schemes presented. They also provide references for further reading and exercises at the end of each chapter.

Introduction to Cryptography
Introduction to Cryptography

Author: Hans Delfs

Publisher: Springer Science & Business Media

Published: 2002-02-14

Total Pages: 328

ISBN-13: 9783540422785

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This book covers key concepts of cryptography, from encryption and digital signatures to cryptographic protocols, presenting techniques and protocols for key exchange, user ID, electronic elections and digital cash. Advanced topics include bit security of one-way functions and computationally perfect pseudorandom bit generators. Assuming no special background in mathematics, it includes chapter-ending exercises and the necessary algebra, number theory and probability theory in the appendix. This edition offers new material including a complete description of the AES, a section on cryptographic hash functions, new material on random oracle proofs, and a new section on public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.

Number-Theoretic Methods in Cryptology
Number-Theoretic Methods in Cryptology

Author: Jerzy Kaczorowski

Publisher: Springer

Published: 2018-03-09

Total Pages: 287

ISBN-13: 3319766201

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This book constitutes the refereed post-conference proceedings of the First International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2017, held in Warsaw, Poland, in September 2017.The 15 revised full papers presented in this book together with 3 invited talks were carefully reviewed and selected from 32 initial submissions. The papers are organized in topical sections on elliptic curves in cryptography; public-key cryptography; lattices in cryptography; number theory; pseudorandomness; and algebraic structures and analysis.

An Introduction to Mathematical Cryptography
An Introduction to Mathematical Cryptography

Author: Jeffrey Hoffstein

Publisher: Springer

Published: 2014-09-11

Total Pages: 549

ISBN-13: 1493917110

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This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.

Information Theoretic Security
Information Theoretic Security

Author: Yingbin Liang

Publisher: Now Publishers Inc

Published: 2009

Total Pages: 246

ISBN-13: 1601982402

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Surveys the research dating back to the 1970s which forms the basis of applying this technique in modern communication systems. It provides an overview of how information theoretic approaches are developed to achieve secrecy for a basic wire-tap channel model and for its extensions to multiuser networks.

Advances in Cryptology - CRYPTO '99
Advances in Cryptology - CRYPTO '99

Author: Michael Wiener

Publisher: Springer

Published: 2003-07-31

Total Pages: 653

ISBN-13: 3540484051

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Crypto ’99, the Nineteenth Annual Crypto Conference, was sponsored by the International Association for Cryptologic Research (IACR), in cooperation with the IEEE Computer Society Technical Committee on Security and Privacy and the Computer Science Department, University of California, Santa Barbara (UCSB). The General Chair, Donald Beaver, was responsible for local organization and registration. The Program Committee considered 167 papers and selected 38 for presentation. This year’s conference program also included two invited lectures. I was pleased to include in the program UeliM aurer’s presentation “Information Theoretic Cryptography” and Martin Hellman’s presentation “The Evolution of Public Key Cryptography.” The program also incorporated the traditional Rump Session for informal short presentations of new results, run by Stuart Haber. These proceedings include the revised versions of the 38 papers accepted by the Program Committee. These papers were selected from all the submissions to the conference based on originality, quality, and relevance to the field of cryptology. Revisions were not checked, and the authors bear full responsibility for the contents of their papers.

Information Theoretic Security
Information Theoretic Security

Author: Serge Fehr

Publisher: Springer

Published: 2011-05-05

Total Pages: 237

ISBN-13: 3642207286

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This book constitutes the refereed proceedings of the 5th International Conference on Information Theoretic Security, held in Amsterdam, The Netherlands, in May 2011. The 12 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from 27 submissions. Understanding the minimal requirements for information-theoretic security is a central part of this line of research. Very attractive is the mathematical neatness of the field, and its rich connections to other areas of mathematics, like probability and information theory, algebra, combinatorics, coding theory, and quantum information processing, just to mention the most prominent ones.