Foundations of Cryptography: Volume 1, Basic Tools

Foundations of Cryptography: Volume 1, Basic Tools
Author: Oded Goldreich
Publisher: Cambridge University Press
Total Pages: 392
Release: 2001-08-06
Genre: Computers
ISBN: 9780521791724

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Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs. Rather than describing ad-hoc approaches, this book emphasizes the clarification of fundamental concepts and the demonstration of the feasibility of solving cryptographic problems. It is suitable for use in a graduate course on cryptography and as a reference book for experts.

Foundations of Cryptography

Foundations of Cryptography
Author: Oded Goldreich
Publisher: Now Publishers Inc
Total Pages: 133
Release: 2005
Genre: Business & Economics
ISBN: 1933019026

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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).

Foundations of Cryptography: Volume 2, Basic Applications

Foundations of Cryptography: Volume 2, Basic Applications
Author: Oded Goldreich
Publisher: Cambridge University Press
Total Pages: 390
Release: 2009-09-17
Genre: Computers
ISBN: 1107393973

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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.

Tutorials on the Foundations of Cryptography

Tutorials on the Foundations of Cryptography
Author: Yehuda Lindell
Publisher: Springer
Total Pages: 461
Release: 2017-04-05
Genre: Computers
ISBN: 331957048X

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This is a graduate textbook of advanced tutorials on the theory of cryptography and computational complexity. In particular, the chapters explain aspects of garbled circuits, public-key cryptography, pseudorandom functions, one-way functions, homomorphic encryption, the simulation proof technique, and the complexity of differential privacy. Most chapters progress methodically through motivations, foundations, definitions, major results, issues surrounding feasibility, surveys of recent developments, and suggestions for further study. This book honors Professor Oded Goldreich, a pioneering scientist, educator, and mentor. Oded was instrumental in laying down the foundations of cryptography, and he inspired the contributing authors, Benny Applebaum, Boaz Barak, Andrej Bogdanov, Iftach Haitner, Shai Halevi, Yehuda Lindell, Alon Rosen, and Salil Vadhan, themselves leading researchers on the theory of cryptography and computational complexity. The book is appropriate for graduate tutorials and seminars, and for self-study by experienced researchers, assuming prior knowledge of the theory of cryptography.

Fundamentals of Cryptography

Fundamentals of Cryptography
Author: Duncan Buell
Publisher: Springer Nature
Total Pages: 279
Release: 2021-07-17
Genre: Computers
ISBN: 3030734927

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Cryptography, as done in this century, is heavily mathematical. But it also has roots in what is computationally feasible. This unique textbook text balances the theorems of mathematics against the feasibility of computation. Cryptography is something one actually “does”, not a mathematical game one proves theorems about. There is deep math; there are some theorems that must be proved; and there is a need to recognize the brilliant work done by those who focus on theory. But at the level of an undergraduate course, the emphasis should be first on knowing and understanding the algorithms and how to implement them, and also to be aware that the algorithms must be implemented carefully to avoid the “easy” ways to break the cryptography. This text covers the algorithmic foundations and is complemented by core mathematics and arithmetic.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Modern Cryptography, Probabilistic Proofs and Pseudorandomness
Author: Oded Goldreich
Publisher: Springer Science & Business Media
Total Pages: 192
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662125218

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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.

Foundations of Cryptography: Volume 2, Basic Applications

Foundations of Cryptography: Volume 2, Basic Applications
Author: Oded Goldreich
Publisher: Cambridge University Press
Total Pages: 452
Release: 2004-05-10
Genre: Computers
ISBN: 0521830842

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

Providing Sound Foundations for Cryptography

Providing Sound Foundations for Cryptography
Author: Oded Goldreich
Publisher: Morgan & Claypool
Total Pages: 836
Release: 2019-09-13
Genre: Computers
ISBN: 1450372694

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Cryptography is concerned with the construction of schemes that withstand any abuse. A cryptographic scheme is constructed so as to maintain a desired functionality, even under malicious attempts aimed at making it deviate from its prescribed behavior. The design of cryptographic systems must be based on firm foundations, whereas ad hoc approaches and heuristics are a very dangerous way to go. These foundations were developed mostly in the 1980s, in works that are all co-authored by Shafi Goldwasser and/or Silvio Micali. These works have transformed cryptography from an engineering discipline, lacking sound theoretical foundations, into a scientific field possessing a well-founded theory, which influences practice as well as contributes to other areas of theoretical computer science. This book celebrates these works, which were the basis for bestowing the 2012 A.M. Turing Award upon Shafi Goldwasser and Silvio Micali. A significant portion of this book reproduces some of these works, and another portion consists of scientific perspectives by some of their former students. The highlight of the book is provided by a few chapters that allow the readers to meet Shafi and Silvio in person. These include interviews with them, their biographies and their Turing Award lectures.

Understanding Cryptography

Understanding Cryptography
Author: Christof Paar
Publisher: Springer Science & Business Media
Total Pages: 372
Release: 2009-11-27
Genre: Computers
ISBN: 3642041019

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Cryptography is now ubiquitous – moving beyond the traditional environments, such as government communications and banking systems, we see cryptographic techniques realized in Web browsers, e-mail programs, cell phones, manufacturing systems, embedded software, smart buildings, cars, and even medical implants. Today's designers need a comprehensive understanding of applied cryptography. After an introduction to cryptography and data security, the authors explain the main techniques in modern cryptography, with chapters addressing stream ciphers, the Data Encryption Standard (DES) and 3DES, the Advanced Encryption Standard (AES), block ciphers, the RSA cryptosystem, public-key cryptosystems based on the discrete logarithm problem, elliptic-curve cryptography (ECC), digital signatures, hash functions, Message Authentication Codes (MACs), and methods for key establishment, including certificates and public-key infrastructure (PKI). Throughout the book, the authors focus on communicating the essentials and keeping the mathematics to a minimum, and they move quickly from explaining the foundations to describing practical implementations, including recent topics such as lightweight ciphers for RFIDs and mobile devices, and current key-length recommendations. The authors have considerable experience teaching applied cryptography to engineering and computer science students and to professionals, and they make extensive use of examples, problems, and chapter reviews, while the book’s website offers slides, projects and links to further resources. This is a suitable textbook for graduate and advanced undergraduate courses and also for self-study by engineers.

Introduction to Modern Cryptography

Introduction to Modern Cryptography
Author: Jonathan Katz
Publisher: CRC Press
Total Pages: 435
Release: 2020-12-21
Genre: Computers
ISBN: 1351133012

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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.