Pseudorandomness and Cryptographic Applications
Pseudorandomness and Cryptographic Applications

Author: Michael Luby

Publisher: Princeton University Press

Published: 2019-12-31

Total Pages: 257

ISBN-13: 0691206848

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A pseudorandom generator is an easy-to-compute function that stretches a short random string into a much longer string that "looks" just like a random string to any efficient adversary. One immediate application of a pseudorandom generator is the construction of a private key cryptosystem that is secure against chosen plaintext attack. There do not seem to be natural examples of functions that are pseudorandom generators. On the other hand, there do seem to be a variety of natural examples of another basic primitive: the one-way function. A function is one-way if it is easy to compute but hard for any efficient adversary to invert on average. The first half of the book shows how to construct a pseudorandom generator from any one-way function. Building on this, the second half of the book shows how to construct other useful cryptographic primitives, such as private key cryptosystems, pseudorandom function generators, pseudorandom permutation generators, digital signature schemes, bit commitment protocols, and zero-knowledge interactive proof systems. The book stresses rigorous definitions and proofs.

Cryptographic Applications of Analytic Number Theory
Cryptographic Applications of Analytic Number Theory

Author: Igor Shparlinski

Publisher: Springer Science & Business Media

Published: 2003-02-12

Total Pages: 434

ISBN-13: 9783764366544

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The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness
Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Author: Oded Goldreich

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 192

ISBN-13: 3662125218

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Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.

Pseudorandomness
Pseudorandomness

Author: Salil P. Vadhan

Publisher: Foundations and Trends(r) in T

Published: 2012

Total Pages: 352

ISBN-13: 9781601985941

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A survey of pseudorandomness, the theory of efficiently generating objects that look random despite being constructed using little or no randomness. This theory has significance for areas in computer science and mathematics, including computational complexity, algorithms, cryptography, combinatorics, communications, and additive number theory.

Advances in Cryptology -- EUROCRYPT 2012
Advances in Cryptology -- EUROCRYPT 2012

Author: David Pointcheval

Publisher: Springer Science & Business Media

Published: 2012-04-02

Total Pages: 769

ISBN-13: 3642290108

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This book constitutes the refereed proceedings of the 31st Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2012, held in Cambgridge, UK, in April 2012. The 41 papers, presented together with 2 invited talks, were carefully reviewed and selected from 195 submissions. The papers are organized in topical sections on index calculus, symmetric constructions, secure computation, protocols, lossy trapdoor functions, tools, symmetric cryptanalysis, fully homomorphic encryption, asymmetric cryptanalysis, efficient reductions, public-key schemes, security models, and lattices.

Introduction to Cryptography
Introduction to Cryptography

Author: Hans Delfs

Publisher: Springer Science & Business Media

Published: 2007-05-31

Total Pages: 372

ISBN-13: 3540492445

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Due to the rapid growth of digital communication and electronic data exchange, information security has become a crucial issue in industry, business, and administration. Modern cryptography provides essential techniques for securing information and protecting data. In the first part, this book covers the key concepts of cryptography on an undergraduate level, from encryption and digital signatures to cryptographic protocols. Essential techniques are demonstrated in protocols for key exchange, user identification, electronic elections and digital cash. In the second part, more advanced topics are addressed, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators. The security of cryptographic schemes is a central topic. Typical examples of provably secure encryption and signature schemes and their security proofs are given. Though particular attention is given to the mathematical foundations, no special background in mathematics is presumed. The necessary algebra, number theory and probability theory are included in the appendix. Each chapter closes with a collection of exercises. The second edition contains corrections, revisions and new material, including a complete description of the AES, an extended section on cryptographic hash functions, a new section on random oracle proofs, and a new section on public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.

Handbook of Applied Cryptography
Handbook of Applied Cryptography

Author: Alfred J. Menezes

Publisher: CRC Press

Published: 2018-12-07

Total Pages: 810

ISBN-13: 0429881320

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Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional: It serves as an introduction to the more practical aspects of both conventional and public-key cryptography It is a valuable source of the latest techniques and algorithms for the serious practitioner It provides an integrated treatment of the field, while still presenting each major topic as a self-contained unit It provides a mathematical treatment to accompany practical discussions It contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussed Now in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.

Introduction to Modern Cryptography
Introduction to Modern Cryptography

Author: Jonathan Katz

Publisher: CRC Press

Published: 2020-12-21

Total Pages: 435

ISBN-13: 1351133012

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Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.

Public-Key Cryptography -- PKC 2014
Public-Key Cryptography -- PKC 2014

Author: Hugo Krawczyk

Publisher: Springer

Published: 2014-02-20

Total Pages: 699

ISBN-13: 3642546315

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This book constitutes the refereed proceedings of the 17th International Conference on Practice and Theory in Public-Key Cryptography, PKC 2014, held in Buenos Aires, Argentina, in March 2014. The 38 papers presented were carefully reviewed and selected from 145 submissions. The papers are organized in topical sections on chosen ciphertext security, re-encryption, verifiable outsourcing, cryptanalysis, identity and attribute-based encryption, enhanced encryption, signature schemes, related-key security, functional authentication, quantum impossibility, privacy, protocols.

Applied Cryptography
Applied Cryptography

Author: Bruce Schneier

Publisher: John Wiley & Sons

Published: 2017-05-25

Total Pages: 926

ISBN-13: 1119439027

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From the world's most renowned security technologist, Bruce Schneier, this 20th Anniversary Edition is the most definitive reference on cryptography ever published and is the seminal work on cryptography. Cryptographic techniques have applications far beyond the obvious uses of encoding and decoding information. For developers who need to know about capabilities, such as digital signatures, that depend on cryptographic techniques, there's no better overview than Applied Cryptography, the definitive book on the subject. Bruce Schneier covers general classes of cryptographic protocols and then specific techniques, detailing the inner workings of real-world cryptographic algorithms including the Data Encryption Standard and RSA public-key cryptosystems. The book includes source-code listings and extensive advice on the practical aspects of cryptography implementation, such as the importance of generating truly random numbers and of keeping keys secure. ". . .the best introduction to cryptography I've ever seen. . . .The book the National Security Agency wanted never to be published. . . ." -Wired Magazine ". . .monumental . . . fascinating . . . comprehensive . . . the definitive work on cryptography for computer programmers . . ." -Dr. Dobb's Journal ". . .easily ranks as one of the most authoritative in its field." -PC Magazine The book details how programmers and electronic communications professionals can use cryptography-the technique of enciphering and deciphering messages-to maintain the privacy of computer data. It describes dozens of cryptography algorithms, gives practical advice on how to implement them into cryptographic software, and shows how they can be used to solve security problems. The book shows programmers who design computer applications, networks, and storage systems how they can build security into their software and systems. With a new Introduction by the author, this premium edition will be a keepsake for all those committed to computer and cyber security.