Pseudorandomness And Cryptographic Applications
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Pseudorandomness And Cryptographic Applications
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Author : Michael Luby
language : en
Publisher: Princeton University Press
Release Date : 2019-12-31
Pseudorandomness And Cryptographic Applications written by Michael Luby and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-31 with Mathematics categories.
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
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Author : Igor Shparlinski
language : en
Publisher: Birkhäuser
Release Date : 2013-03-07
Cryptographic Applications Of Analytic Number Theory written by Igor Shparlinski and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.
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.
Cryptographic Applications Of Analytic Number Theory
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Author : Igor E. Shparlinski
language : en
Publisher:
Release Date : 2003
Cryptographic Applications Of Analytic Number Theory written by Igor E. Shparlinski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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
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Author : Oded Goldreich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Modern Cryptography Probabilistic Proofs And Pseudorandomness written by Oded Goldreich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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.
A Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications
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Author : nist
language : en
Publisher:
Release Date : 2013-12-11
A Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications written by nist and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with categories.
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.
Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications
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Author : Robert D. Newberry
language : en
Publisher:
Release Date : 1998-10
Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications written by Robert D. Newberry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10 with categories.
Foundations Of Cryptography Volume 2 Basic Applications
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Author : Oded Goldreich
language : en
Publisher: Cambridge University Press
Release Date : 2004-05-10
Foundations Of Cryptography Volume 2 Basic Applications written by Oded Goldreich and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-10 with Computers categories.
A rigorous treatment of Encryption, Signatures, and General Cryptographic Protocols, emphasizing fundamental concepts.
A Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications
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Author :
language : en
Publisher:
Release Date : 2010
A Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
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.
Introduction To Cryptography
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Author : Hans Delfs
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Cryptography written by Hans Delfs and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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.
A Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications
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Author : Andrew Rukhin
language : en
Publisher:
Release Date : 2000
A Statistical Test Suite For Random And Pseudorandom Number Generators For Cryptographic Applications written by Andrew Rukhin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
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.