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Pseudorandomness And Cryptographic Applications
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Book Synopsis Pseudorandomness and Cryptographic Applications by : Michael Luby
Download or read book Pseudorandomness and Cryptographic Applications written by Michael Luby and published by Princeton University Press. This book was released on 2019-12-31 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cryptographic Applications of Analytic Number Theory by : Igor Shparlinski
Download or read book Cryptographic Applications of Analytic Number Theory written by Igor Shparlinski and published by Birkhäuser. This book was released on 2013-03-07 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces new techniques that imply rigorous lower bounds on the com plexity of some number-theoretic and cryptographic problems. It also establishes certain attractive pseudorandom properties of various cryptographic primitives. These methods and techniques are based on bounds of character sums and num bers of solutions of some polynomial equations over finite fields and residue rings. Other number theoretic techniques such as sieve methods and lattice reduction algorithms are used as well. The book also contains a number of open problems and proposals for further research. The emphasis is on obtaining unconditional rigorously proved statements. The bright side of this approach is that the results do not depend on any assumptions or conjectures. On the downside, the results are much weaker than those which are widely believed to be true. We obtain several lower bounds, exponential in terms of logp, on the degrees and orders of o polynomials; o algebraic functions; o Boolean functions; o linear recurrence sequences; coinciding with values of the discrete logarithm modulo a prime p at sufficiently many points (the number of points can be as small as pI/2+O:). These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1. The case of d = 2 is of special interest since it corresponds to the representation of the rightmost bit of the discrete logarithm and defines whether the argument is a quadratic residue.
Book Synopsis Cryptographic Applications of Analytic Number Theory by : Igor E. Shparlinski
Download or read book Cryptographic Applications of Analytic Number Theory written by Igor E. Shparlinski and published by . This book was released on 2003 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modern Cryptography, Probabilistic Proofs and Pseudorandomness by : Oded Goldreich
Download or read book Modern Cryptography, Probabilistic Proofs and Pseudorandomness written by Oded Goldreich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pseudorandomness by : Salil P. Vadhan
Download or read book Pseudorandomness written by Salil P. Vadhan and published by Foundations and Trends(r) in T. This book was released on 2012 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in Cryptology -- EUROCRYPT 2012 by : David Pointcheval
Download or read book Advances in Cryptology -- EUROCRYPT 2012 written by David Pointcheval and published by Springer Science & Business Media. This book was released on 2012-04-02 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications by : nist
Download or read book A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications written by nist and published by . This book was released on 2013-12-11 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper discusses some aspects of selecting and testingrandom and pseudorandom number generators. The outputs of such generators may be used in many cryptographic applications, such as the generation of key material. Generators suitable for use in cryptographicapplications may need to meet stronger requirements than for other applications. In particular, their outputs must be unpredictable in the absence of knowledge of the inputs. Some criteria for characterizing and selecting appropriate generators are discussed in this document. The subject ofstatistical testing and its relation to cryptanalysis is also discussed, and some recommended statistical tests are provided. These tests may be useful as a first step in determining whether or not a generator is suitable for a particular cryptographic application. However, no set of statistical tests can absolutely certify a generator as appropriate for usage in a particular application, i.e.,statistical testing cannot serve as a substitute for cryptanalysis. The design and cryptanalysis of generators is outside the scope of this paper.
Book Synopsis Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications by : Robert D. Newberry
Download or read book Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications written by Robert D. Newberry and published by . This book was released on 1998-10 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Cryptography by : Hans Delfs
Download or read book Introduction to Cryptography written by Hans Delfs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Cryptography: Volume 2, Basic Applications by : Oded Goldreich
Download or read book Foundations of Cryptography: Volume 2, Basic Applications written by Oded Goldreich and published by Cambridge University Press. This book was released on 2004-05-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous treatment of Encryption, Signatures, and General Cryptographic Protocols, emphasizing fundamental concepts.
Book Synopsis A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications by :
Download or read book A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Applied Cryptography by : Alfred J. Menezes
Download or read book Handbook of Applied Cryptography written by Alfred J. Menezes and published by CRC Press. This book was released on 2018-12-07 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications by : Andrew Rukhin
Download or read book A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications written by Andrew Rukhin and published by . This book was released on 2000 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper discusses some aspects of selecting and testing random and pseudorandom number generators. The outputs of such generators may be used in many cryptographic applications, such as the generation of key material. Generators suitable for use in cryptographic applications may need to meet stronger requirements than for other applications. In particular, their outputs must be unpredictable in the absence of knowledge of the inputs. Some criteria for characterizing and selecting appropriate generators are discussed in this document. The subject of statistical testing and its relation to cryptanalysis is also discussed, and some recommended statistical tests are provided. These tests may be useful as a first step in determining whether or not a generator is suitable for a particular cryptographic application. However, no set of statistical tests can absolutely certify a generator as appropriate for usage in a particular application, i.e., statistical testing cannot serve as a substitute for cryptanalysis. The design and cryptanalysis of generators is outside the scope of this paper.
Book Synopsis Foundations of Cryptography by : Oded Goldreich
Download or read book Foundations of Cryptography written by Oded Goldreich and published by Now Publishers Inc. This book was released on 2005 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revolutionary developments which took place in the 1980's have transformed cryptography from a semi-scientific discipline to a respectable field in theoretical Computer Science. In particular, concepts such as computational indistinguishability, pseudorandomness and zero-knowledge interactive proofs were introduced and classical notions as secure encryption and unforgeable signatures were placed on sound grounds. The resulting field of cryptography, reviewed in this survey, is strongly linked to complexity theory (in contrast to 'classical' cryptography which is strongly related to information theory).
Book Synopsis Introduction to Modern Cryptography by : Jonathan Katz
Download or read book Introduction to Modern Cryptography written by Jonathan Katz and published by CRC Press. This book was released on 2020-12-21 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Pseudorandomness and Its Application to Cryptography by : Josef Pieprzyk
Download or read book Theory of Pseudorandomness and Its Application to Cryptography written by Josef Pieprzyk and published by . This book was released on 1990 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Primer on Pseudorandom Generators by : Oded Goldreich
Download or read book A Primer on Pseudorandom Generators written by Oded Goldreich and published by American Mathematical Soc.. This book was released on 2010 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primer assumes basic familiarity with the notion of efficient algorithms and with elementary probability theory, but provides a basic introduction to all notions that are actually used. as a result, the primer is essentially self-contained, although the interested reader is at times referred to other sources for more detail. --Book Jacket.
