Analysis of Boolean Functions

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Release : 2014-06-05
Genre : Computers
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Book Rating : 324/5 ( reviews)

Analysis of Boolean Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis of Boolean Functions write by Ryan O'Donnell. This book was released on 2014-06-05. Analysis of Boolean Functions available in PDF, EPUB and Kindle. This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.

Boolean Functions

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Release : 2011-05-16
Genre : Mathematics
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Book Rating : 630/5 ( reviews)

Boolean Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boolean Functions write by Yves Crama. This book was released on 2011-05-16. Boolean Functions available in PDF, EPUB and Kindle. Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.

Boolean Functions for Cryptography and Coding Theory

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Release : 2021-01-07
Genre : Computers
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Book Rating : 664/5 ( reviews)

Boolean Functions for Cryptography and Coding Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boolean Functions for Cryptography and Coding Theory write by Claude Carlet. This book was released on 2021-01-07. Boolean Functions for Cryptography and Coding Theory available in PDF, EPUB and Kindle. Boolean functions are essential to systems for secure and reliable communication. This comprehensive survey of Boolean functions for cryptography and coding covers the whole domain and all important results, building on the author's influential articles with additional topics and recent results. A useful resource for researchers and graduate students, the book balances detailed discussions of properties and parameters with examples of various types of cryptographic attacks that motivate the consideration of these parameters. It provides all the necessary background on mathematics, cryptography, and coding, and an overview on recent applications, such as side channel attacks on smart cards, cloud computing through fully homomorphic encryption, and local pseudo-random generators. The result is a complete and accessible text on the state of the art in single and multiple output Boolean functions that illustrates the interaction between mathematics, computer science, and telecommunications.

Cryptographic Boolean Functions and Applications

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Release : 2009-03-04
Genre : Mathematics
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Book Rating : 224/5 ( reviews)

Cryptographic Boolean Functions and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cryptographic Boolean Functions and Applications write by Thomas W. Cusick. This book was released on 2009-03-04. Cryptographic Boolean Functions and Applications available in PDF, EPUB and Kindle. Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce).Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean functions are used in cryptography. Currently, practitioners who need to apply Boolean functions in the design of cryptographic algorithms and protocols need to patch together needed information from a variety of resources (books, journal articles and other sources). This book compiles the key essential information in one easy to use, step-by-step reference. Beginning with the basics of the necessary theory the book goes on to examine more technical topics, some of which are at the frontier of current research. Serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions Provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography Addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource Organized logically to help the reader easily understand the topic

Boolean Function Complexity

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Release : 2012-01-06
Genre : Mathematics
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Book Rating : 080/5 ( reviews)

Boolean Function Complexity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boolean Function Complexity write by Stasys Jukna. This book was released on 2012-01-06. Boolean Function Complexity available in PDF, EPUB and Kindle. Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower bound arguments, covering many of the gems of this “complexity Waterloo” that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, are mentioned along the way. The problems are mainly of combinatorial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers in the fields of computer science and discrete mathematics.