Pseudorandomness and Cryptographic Applications

Pseudorandomness and Cryptographic Applications

The book stresses rigorous definitions and proofs.

Author: Michael Luby

Publisher: Princeton University Press

ISBN: 9780691206844

Category: Mathematics

Page: 248

View: 996

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.
Categories: Mathematics

Cryptographic Applications of Analytic Number Theory

Cryptographic Applications of Analytic Number Theory

[435 [436 [437 [438 [439] [440 [441] [442 [443 [444 [445 [446 [447) H.
Niederreiter and I. E. Shparlinski, 'Recent advances in the theory of nonlinear
pseudorandom number generators', Proc. Conf. on Monte Carlo and Quasi-
Monte Carlo ...

Author: Igor Shparlinski

Publisher: Birkhäuser

ISBN: 9783034880374

Category: Mathematics

Page: 414

View: 260

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.
Categories: Mathematics

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

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.

Author: U.S. Government

Publisher: Books LLC

ISBN: 1234475596

Category:

Page: 132

View: 120

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...
Categories:

Modern Cryptography Probabilistic Proofs and Pseudorandomness

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 ...

Author: Oded Goldreich

Publisher: Springer Science & Business Media

ISBN: 9783662125212

Category: Mathematics

Page: 183

View: 862

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.
Categories: Mathematics

Introduction to Cryptography

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.

Author: Hans Delfs

Publisher: Springer Science & Business Media

ISBN: 9783642871269

Category: Computers

Page: 310

View: 966

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.
Categories: Computers

A Classical Introduction to Cryptography

A Classical Introduction to Cryptography

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

Author: Serge Vaudenay

Publisher: Springer Science & Business Media

ISBN: 9780387258805

Category: Computers

Page: 336

View: 937

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.
Categories: Computers

Information Security Applications

Information Security Applications

... which is a collection of tests for the evaluation of both true random and
pseudorandom number generators for cryptographic applications. Our
experiment results show that some correlations of dependent exist among the
randomness tests, ...

Author: Yongdae Kim

Publisher: Springer

ISBN: 9783319051499

Category: Computers

Page: 273

View: 665

This book constitutes the thoroughly refereed proceedings of the 14th International Workshop on Information Security Applications, WISA 2013, held on Jeju Island, Korea, in August 2013. The 15 revised full papers and 2 short papers presented were carefully reviewed and selected from 39 submissions. The papers are organized in topical sections such as cryptography, social network security, mobile security, network security, future applications and privacy.
Categories: Computers

Coding Theory Cryptography and Related Areas

Coding Theory  Cryptography and Related Areas

Proceedings of an International Conference on Coding Theory, Cryptography
and Related Areas, held in Guanajuato, ... [2] to implement the families of
permutations $ and # and a pseudorandom generator for cryptography
applications.

Author: Johannes Buchmann

Publisher: Springer Science & Business Media

ISBN: 3540662480

Category: Computers

Page: 260

View: 979

A series of research papers on various aspects of coding theory, cryptography, and other areas, including new and unpublished results on the subjects. The book will be useful to students, researchers, professionals, and tutors interested in this area of research.
Categories: Computers

Advances in Brain Inspired Cognitive Systems

Advances in Brain Inspired Cognitive Systems

Many fields need random and pseudorandom numbers, especially in
cryptographic applications. d-bit segment binary pseudorandom numbers can be
more easily used for block encryption. This paper studies on the statistical test for
binary d ...

Author: Derong Liu

Publisher: Springer

ISBN: 9783642387869

Category: Computers

Page: 418

View: 545

This book constitutes the refereed proceedings of the 6th International Conference on Brain Inspired Cognitive Systems, BICS 2013, held in Beijing, China in June 2013. The 45 high-quality papers presented were carefully reviewed and selected from 68 submissions. BICS 2013 aims to provide a high-level international forum for scientists, engineers, and educators to present the state of the art of brain inspired cognitive systems research and applications in diverse fields.
Categories: Computers

Malicious Cryptography

Malicious Cryptography

2 PRNGs Based on Reduction Arguments A definitive source for provably secure
techniques regarding pseudorandom number generators and related primitives
is Pseudorandomness and Cryptographic Applications by Michael Luby ( 177 ] .

Author: Adam Young

Publisher: John Wiley & Sons

ISBN: UOM:39015061332923

Category: Computers

Page: 392

View: 508

This title describes recent discoveries on how to design advanced malicious computer viruses, worms, and Trojan horses. The area in question has recently been dubbed Crypotovirology, since it involves the application of modern cryptographic techniques to subvert computer systems.
Categories: Computers

Foundations of Cryptography Volume 2 Basic Applications

Foundations of Cryptography  Volume 2  Basic Applications

A rigorous treatment of Encryption, Signatures, and General Cryptographic Protocols, emphasizing fundamental concepts.

Author: Oded Goldreich

Publisher: Cambridge University Press

ISBN: 0521830842

Category: Computers

Page: 426

View: 689

A rigorous treatment of Encryption, Signatures, and General Cryptographic Protocols, emphasizing fundamental concepts.
Categories: Computers

Computational Complexity

Computational Complexity

A more practical version of a one-time pad is based on pseudorandom
generators, which are used to stretch a small truly ... They have many
cryptographic applications, and we'll also see a fascinating complexity
application in Chapter 23.

Author: Sanjeev Arora

Publisher: Cambridge University Press

ISBN: 1139477366

Category: Computers

Page:

View: 627

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.
Categories: Computers

Parallel Problem Solving from Nature PPSN VI

Parallel Problem Solving from Nature PPSN VI

In this work we describe a single key cryptographic system based on one- and
two-dimensional non-uniform cellular automata that produce high-quality pseudo
-random bit sequences. ... Here we will describe the application of some types of
cellular automata in this domain. Cellular ... Our encryption scheme is based on
the generation of pseudorandom bit sequences by cellular automata as in [13, 7].

Author: france Conference on Parallel Problem Solving from Nature 2000 Paris

Publisher: Springer Science & Business Media

ISBN: 3540410562

Category: Computers

Page: 914

View: 777

This book constitutes the refereed proceedings of the 6th International Conference on Parallel Problem Solving from Nature, PPSN VI, held in Paris, France in September 2000. The 87 revised full papers presented together with two invited papers were carefully reviewed and selected from 168 submissions. The presentations are organized in topical sections on analysis and theory of evolutionary algorithms, genetic programming, scheduling, representations and operators, co-evolution, constraint handling techniques, noisy and non-stationary environments, combinatorial optimization, applications, machine learning and classifier systems, new algorithms and metaphors, and multiobjective optimization.
Categories: Computers

2000 IEEE Symposium on Security and Privacy

2000 IEEE Symposium on Security and Privacy

Java web page. http://www.ibm.com/ developer/java. [18] Ipsec. IP Security
Protocol, IETF working group. http://www.ietf. org/html. charters/ ipsec – charter.
html. [19] Michael George Luby. Pseudorandomness and Cryptographic
Applications.

Author:

Publisher: IEEE

ISBN: 0769506658

Category: Computers

Page: 256

View: 584

Contains papers from a May 2000 symposium, covering all areas of computer security and electronic privacy. Papers were selected on the basis of scientific novelty, importance to the field, and technical quality. Material is in sections on access control, applications to cryptography, achievability of electronic privacy, protocol analysis and design, open source in security, intrusion detection, assurance, and key management. Specific topics include efficient authentication and signing of multicast streams over lossy channels, engineering tradeoffs and the evolution of provably secure protocols, and robust nonproprietary software. Lacks a subject index. Annotation copyrighted by Book News, Inc., Portland, OR.
Categories: Computers

Proceedings of the ACM Symposium on Theory of Computing

Proceedings of the    ACM Symposium on Theory of Computing

[ 6 ] W. Diffie and M. Hellman , New Directions in Cryptography , in IEEE
Transaction in Information Theory , 22 , 1976 . ( 19 ) M. Luby , Pseudo -
Randomness and Cryptographic Applications , Princeton University Press ,
Prince ton , NJ , 1996 .

Author:

Publisher:

ISBN: UOM:39015048125416

Category: Formal languages

Page:

View: 510

Categories: Formal languages

Proceedings of the Thirty first Annual ACM Symposium on Theory of Computing

Proceedings of the Thirty first Annual ACM Symposium on Theory of Computing

( 18 ) L. Levin , One - way Functions and PseudoRandom Generators , in
Combinatorica , vol . 7 , n . 4 , 1987 . ( 19 ) M. Luby , Pseudo - Randomness and
Cryptographic Applications , Princeton University Press , Princeton , NJ , 1996 .

Author:

Publisher:

ISBN: UCSC:32106015047209

Category: Atlanta, GA

Page: 790

View: 969

Categories: Atlanta, GA

Finite Fields and Their Applications

Finite Fields and Their Applications

Katalin Gyarmati Measures of Pseudorandomness Abstract: In the second half of
the 19905 Christian Mauduit and ... in cryptography and number theory since
these objects are widely used in modern cryptography, in applications of the
Monte ...

Author: Pascale Charpin

Publisher: Walter de Gruyter

ISBN: 9783110283600

Category: Mathematics

Page: 285

View: 696

This book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory.
Categories: Mathematics

Proceedings of the Military Government and Aerospace Simulation Symposium

Proceedings of the Military  Government and Aerospace Simulation Symposium

languages, and do a good job in most simulation applications.
PSEUDORANDOM NUMBER GENERATORS IN CRYPTOGRAPHY Like
stochastic simulations, most cryptographic applications require some source of
randomness. Examples ...

Author: Michael J. Chinni

Publisher:

ISBN: CORNELL:31924070717669

Category: Airplanes

Page: 269

View: 810

Categories: Airplanes

Foundations of Cryptography

Foundations of Cryptography

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.

Author: Oded Goldreich

Publisher: Now Publishers Inc

ISBN: 1933019026

Category: Technology & Engineering

Page: 128

View: 651

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).
Categories: Technology & Engineering