Pseudorandomness and Cryptographic Applications

The book stresses rigorous definitions and proofs.

Pseudorandomness and Cryptographic Applications

Author: Michael Luby

Publisher: Princeton University Press

ISBN: 0691206848

Page: 248

View: 623

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

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.

Cryptographic Applications of Analytic Number Theory

Author: Igor Shparlinski

Publisher: Springer Science & Business Media

ISBN: 9783764366544

Page: 411

View: 249

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

1.3 Pseudorandomness In practice “pseudorandom” sequences are used instead
of truly random Sequences in many applications. The underlying belief is that if
an (efficient) application performs well when using a truly random sequence ...

Modern Cryptography  Probabilistic Proofs and Pseudorandomness

Author: Oded Goldreich

Publisher: Springer Science & Business Media

ISBN: 3662125218

Page: 183

View: 508

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

Original publisher: Gaithersburg, MD: U.S. Dept. of Commerce, National Institute of Standards and Technology, [2008] OCLC Number: (OCoLC)604992236 Subject: Random number generators.

A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications

Author: U.S. Government

Publisher: Books LLC

ISBN: 9781234475598

Page: 132

View: 674

Original publisher: Gaithersburg, MD: U.S. Dept. of Commerce, National Institute of Standards and Technology, [2008] OCLC Number: (OCoLC)604992236 Subject: Random number generators. Excerpt: ... A S T S R P N G C A TATISTICAL EST UITE FOR ANDOM AND SEUDORANDOM UMBER ENERATORS FOR RYPTOGRAPHIC PPLICATIONS sequence can be characterized and described in terms of probability. The likely outcome of statistical tests, when applied to a truly random sequence, is known a priori and can be described in probabilistic terms. There are an infinite number of possible statistical tests, each assessing the presence or absence of a " pattern " which, if detected, would indicate that the sequence is nonrandom. Because there are so many tests for judging whether a sequence is random or not, no specific finite set of tests is deemed " complete. " In addition, the results of statistical testing must be interpreted with some care and caution to avoid incorrect conclusions about a specific generator ( see Section 4 ). A statistical test is formulated to test a specific null hypothesis ( H0 ). For the purpose of this document, the null hypothesis under test is that the sequence being tested is random. Associated with this null hypothesis is the alternative hypothesis ( Ha ), which, for this document, is that the sequence is not random. For each applied test, a decision or conclusion is derived that accepts or rejects the null hypothesis, i.e., whether the generator is ( or is not ) producing random values, based on the sequence that was produced. For each test, a relevant randomness statistic must be chosen and used to determine the acceptance or rejection of the null hypothesis. Under an assumption of randomness, such a statistic has a distribution of possible values. A theoretical reference distribution of this statistic under the null hypothesis is determined by mathematical methods. From this reference distribution, a critical value is determined ( typically, this value is " far...

Introduction to Cryptography

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.

Introduction to Cryptography

Author: Hans Delfs

Publisher: Springer Science & Business Media

ISBN: 9783540422785

Page: 310

View: 805

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.

Foundations of Cryptography Volume 2 Basic Applications

This second volume contains a thorough treatment of three basic applications: Encryption, Signatures, and General Cryptographic Protocols.

Foundations of Cryptography  Volume 2  Basic Applications

Author: Oded Goldreich

Publisher: Cambridge University Press

ISBN: 1107393973

Page:

View: 784

Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. The design of cryptographic systems must be based on firm foundations. Foundations of Cryptography presents a rigorous and systematic treatment of foundational issues, defining cryptographic tasks and solving cryptographic problems. The emphasis is on the clarification of fundamental concepts and on demonstrating the feasibility of solving several central cryptographic problems, as opposed to describing ad-hoc approaches. This second volume contains a thorough treatment of three basic applications: Encryption, Signatures, and General Cryptographic Protocols. It builds on the previous volume, which provided a treatment of one-way functions, pseudorandomness, and zero-knowledge proofs. It is suitable for use in a graduate course on cryptography and as a reference book for experts. The author assumes basic familiarity with the design and analysis of algorithms; some knowledge of complexity theory and probability is also useful.

SIAM Journal on Computing

( 7 ) M . BLUM AND S . GOLDWASSER , An efficient probabilistic encryption
scheme which hides all partial information , in ... ( 20 ) O . GOLDREICH , S .
GOLDWASSER , AND S . MICALI , On the cryptographic applications of random
functions ... ( 27 ) J . HÅSTAD , R . IMPAGLIAZZO , L . A . LEVIN , AND M . LUBY ,
A pseudorandom generator from any one - way function , SIAM J . Comput . , 28 (
1999 ) , pp .

SIAM Journal on Computing

Author: Society for Industrial and Applied Mathematics

Publisher:

ISBN:

Page:

View: 727

A Classical Introduction to Cryptography

This book is also suitable for researchers and practitioners in industry.

A Classical Introduction to Cryptography

Author: Serge Vaudenay

Publisher: Springer Science & Business Media

ISBN: 0387258809

Page: 336

View: 698

A Classical Introduction to Cryptography: Applications for Communications Security introduces fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes. This advanced-level textbook covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes. A Classical Introduction to Cryptography: Applications for Communications Security is designed for upper-level undergraduate and graduate-level students in computer science. This book is also suitable for researchers and practitioners in industry. A separate exercise/solution booklet is available as well, please go to www.springeronline.com under author: Vaudenay for additional details on how to purchase this booklet.

Encryption Schemes

[ 45 ] J. KATZ AND M. YUNG , “ Unforgeable Encryption and Adaptively Secure
Modes of Operation , ” Fast Software Encryption 7 , Springer Verlag ( 2000 ) . ( 46
) M. LUBY , Pseudorandomness and Cryptographic Applications , Princeton ...

Encryption Schemes

Author: Anand Desai

Publisher:

ISBN:

Page: 240

View: 690

Advances in Cryptology

One-way functions and pseudorandom generators. Com- binatorica, 7(4):357-
363, 1987. [Lub96] Michael Luby. Pseudorandomness and Cryptographic
Applications. Princeton University Press, first edition, 1996. ISBN 0-691-02546-0.
[Nas95] ...

Advances in Cryptology

Author:

Publisher:

ISBN:

Page:

View: 298

JCMCC

Modern Cryptography , Probabilistic Proofs and Pseudorandomness . Springer -
Verlag , 1999 . ... Orthogonal Arrays : Theory and Applications . Springer - Verlag
... Pseudorandomness and Cryptographic Applications . Princeton University ...

JCMCC

Author:

Publisher:

ISBN:

Page:

View: 947

Theoretical Aspects of Rationality and Knowledge

[ 13 ] J . Kilian , Founding Cryptography on Oblivious Transfer , Proc . of the ACM
Symp . on Theory of Computing , 1988 , pp . 20 – 31 . 14 Luty .
Pseudorandomness and [ 14 ] Luby M . , Pseudorandomness and Cryptographic
Applications ...

Theoretical Aspects of Rationality and Knowledge

Author: Johan van Benthem

Publisher: Morgan Kaufmann Pub

ISBN:

Page: 339

View: 262

Proceedings of the biennial Conferences on Theoretical Aspects of Reasoning about Knowledge and Theoretical Aspects of Rationality and Knowledge. Current volume: 8th Conference on Theoretical Aspects of Rationality and Knowledge.

Fast Software Encryption

A Cryptographic Mobile Agents Currently, Cryptographic Application
Programming Interfaces (CAPI) are available or in ... TEA encrypted at a rate of
47k bytes/sec and can be employed for pseudorandom generation and hashing
mentioned in ...

Fast Software Encryption

Author:

Publisher:

ISBN:

Page:

View: 675

Vols. for 1993 consists of proceedings of the Cambridge Security Workshop; 1994: proceedings of the 2nd international workshop held in Leuven, Belgium; 1996- : proceedings of the 3rd- international workshop.

Selected Areas in Cryptography

... for Standardization , Geneva , Switzerland , 1987 a cryptographic check
function employing a block cipher algorithm ” , 1989 ( 8 ] M . Luby , “
Pseudorandomness and Cryptographic Applications ” , Princeton Computer
Science Notes , 1996 .

Selected Areas in Cryptography

Author:

Publisher:

ISBN:

Page:

View: 332

Algorithms and Computation

Chazelle , B . A spectral approach to lower bounds with applications to geometric
searching , SIAM J . Comput . , 27 ( 1998 ) ... Luby , M . Pseudorandomness and
Cryptographic Applications , Princeton Computer Science Notes , Princeton ...

Algorithms and Computation

Author:

Publisher:

ISBN:

Page:

View: 192