Modern Cryptography Probabilistic Proofs And Pseudorandomness

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Modern Cryptography Probabilistic Proofs And Pseudorandomness

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Author : Oded Goldreich
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-24

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 1998-11-24 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.

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.

You can start by putting the DO NOT DISTURB sign. Cay, in Desert Hearts (1985). The interplay between randomness and computation is one of the most fas cinating scientific phenomena uncovered in the last couple of decades. This interplay is at the heart of modern cryptography and plays a fundamental role in complexity theory at large. Specifically, the interplay of randomness and computation is pivotal to several intriguing notions of probabilistic proof systems and is the focal of the computational approach to randomness. This book provides an introduction to these three, somewhat interwoven domains (i.e., cryptography, proofs and randomness). Modern Cryptography. Whereas classical cryptography was confined to the art of designing and breaking encryption schemes (or "secrecy codes"), Modern Cryptography is concerned with the rigorous analysis of any system which should withstand malicious attempts to abuse it. We emphasize two aspects of the transition from classical to modern cryptography: ( 1) the wide ning of scope from one specific task to an utmost wide general class of tasks; and (2) the move from an engineering-art which strives on ad-hoc tricks to a scientific discipline based on rigorous approaches and techniques.

Introduction To Modern Cryptography

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Author : Jonathan Katz
language : en
Publisher: CRC Press
Release Date : 2020-12-21

Introduction To Modern Cryptography written by Jonathan Katz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-21 with Computers categories.

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.

Pseudorandomness

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Author : Salil P. Vadhan
language : en
Publisher: Foundations and Trends(r) in T
Release Date : 2012

Pseudorandomness written by Salil P. Vadhan and has been published by Foundations and Trends(r) in T this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.

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.

Topics In Cryptology Ct Rsa 2004

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Author : Tatsuaki Okamoto
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-10

Topics In Cryptology Ct Rsa 2004 written by Tatsuaki Okamoto 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 2004-02-10 with Computers categories.

The Cryptographers’ Track (CT-RSA) is a research conference within the RSA conference, the largest, regularly staged computer security event. CT-RSA 2004 was the fourth year of the Cryptographers’ Track, and it is now an established venue for presenting practical research results related to cryptography and data security. The conference received 77 submissions, and the program committee sel- ted 28 of these for presentation. The program committee worked very hard to evaluate the papers with respect to quality, originality, and relevance to cryp- graphy. Each paper was reviewed by at least three program committee members. Extended abstracts of the revised versions of these papers are in these proc- dings. The program also included two invited lectures by Dan Boneh and Silvio Micali. I am extremely grateful to the program committee members for their en- mous investment of time and e?ort in the di?cult and delicate process of review and selection. Many of them attended the program committee meeting during the Crypto 2003 conference at the University of California, Santa Barbara.

Advances In Cryptology Eurocrypt 2004

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Author : Christian Cachin
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-04-22

Advances In Cryptology Eurocrypt 2004 written by Christian Cachin 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 2004-04-22 with Business & Economics categories.

This book constitutes the refereed proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2004, held in Interlaken, Switzerland in May 2004. The 36 revised full papers presented were carefully reviewed and selected from 206 submissions. The papers are organized in topical sections on private computation, signatures, inconditional security, distributed cryptography, foundations, identity based encryption, elliptic curves, public-key cryptography, multiparty computation, cryptanalysis, new applications, algorithms and implementation, and anonymity.

Information Theoretic Cryptography

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Author : Himanshu Tyagi
language : en
Publisher: Cambridge University Press
Release Date : 2023-04-13

Information Theoretic Cryptography written by Himanshu Tyagi 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 2023-04-13 with Computers categories.

This graduate coursebook offers a mathematical foundation for modern cryptography for readers with basic knowledge of probability theory.

Cryptography Made Simple

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Author : Nigel Smart
language : en
Publisher: Springer
Release Date : 2015-11-12

Cryptography Made Simple written by Nigel Smart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-12 with Computers categories.

In this introductory textbook the author explains the key topics in cryptography. He takes a modern approach, where defining what is meant by "secure" is as important as creating something that achieves that goal, and security definitions are central to the discussion throughout. The author balances a largely non-rigorous style — many proofs are sketched only — with appropriate formality and depth. For example, he uses the terminology of groups and finite fields so that the reader can understand both the latest academic research and "real-world" documents such as application programming interface descriptions and cryptographic standards. The text employs colour to distinguish between public and private information, and all chapters include summaries and suggestions for further reading. This is a suitable textbook for advanced undergraduate and graduate students in computer science, mathematics and engineering, and for self-study by professionals in information security. While the appendix summarizes most of the basic algebra and notation required, it is assumed that the reader has a basic knowledge of discrete mathematics, probability, and elementary calculus.

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.

Modern Cryptography Probabilistic Proof And Pseudorandomness

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Author : Oded Goldreich
language : en
Publisher:
Release Date : 1999

Modern Cryptography Probabilistic Proof And Pseudorandomness written by Oded Goldreich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.