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Progress In Applications Of Boolean Functions
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Book Synopsis Progress in Applications of Boolean Functions by : Tsutomu Sasao
Download or read book Progress in Applications of Boolean Functions written by Tsutomu Sasao and published by Springer Nature. This book was released on 2022-05-31 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together five topics on the application of Boolean functions. They are 1. Equivalence classes of Boolean functions: The number of n-variable functions is large, even for values as small as n = 6, and there has been much research on classifying functions. There are many classifications, each with their own distinct merit. 2. Boolean functions for cryptography: The process of encrypting/decrypting plaintext messages often depends on Boolean functions with specific properties. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks. 3. Boolean differential calculus: An operation analogous to taking the derivative of a real-valued function offers important insight into the properties of Boolean functions. One can determine tests or susceptibility to hazards. 4. Reversible logic: Most logic functions are irreversible; it is impossible to reconstruct the input, given the output. However, Boolean functions that are reversible are necessary for quantum computing, and hold significant promise for low-power computing. 5. Data mining: The process of extracting subtle patterns from enormous amounts of data has benefited from the use of a graph-based representation of Boolean functions. This has use in surveillance, fraud detection, scientific discovery including bio-informatics, genetics, medicine, and education. Written by experts, these chapters present a tutorial view of new and emerging technologies in Boolean functions. Table of Contents: Equivalence Classes of Boolean Functions / Boolean Functions for Cryptography / Boolean Differential Calculus / Synthesis of Boolean Functions in Reversible Logic / Data Mining Using Binary Decision Diagrams
Book Synopsis Progress in Applications of Boolean Functions by : Tsutomu Sasao
Download or read book Progress in Applications of Boolean Functions written by Tsutomu Sasao and published by Morgan & Claypool Publishers. This book was released on 2010 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together five topics on the application of Boolean functions. They are 1. Equivalence classes of Boolean functions: The number of n-variable functions is large, even for values as small as n = 6, and there has been much research on classifying functions. There are many classifications, each with their own distinct merit. 2. Boolean functions for cryptography: The process of encrypting/decrypting plain text messages often depends on Boolean functions with specific properties. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks. 3. Boolean differential calculus: An operation analogous to taking the derivative of a real-valued function offers important insight into the properties of Boolean functions. One can determine tests or susceptibility to hazards. 4. Reversible logic: Most logic functions are irreversible; it is impossible to reconstruct the input, given the output. However, Boolean functions that are reversible are necessary for quantum computing, and hold significant promise for low-power computing. 5. Data mining: The process of extracting subtle patterns from enormous amounts of data has benefited from the use of a graph-based representation of Boolean functions. This has use in surveillance, fraud detection, scientific discovery including bio-informatics, genetics, medicine, and education. Written by experts, these chapters present a tutorial view of new and emerging technologies in Boolean functions. Table of Contents: Equivalence Classes of Boolean Functions / Boolean Functions for Cryptography / Boolean Differential Calculus / Synthesis of Boolean Functions in Reversible Logic / Data Mining Using Binary Decision Diagrams
Download or read book Boolean Functions written by Yves Crama and published by Cambridge University Press. This book was released on 2011-05-16 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boolean Function Complexity by : Stasys Jukna
Download or read book Boolean Function Complexity written by Stasys Jukna and published by Springer Science & Business Media. This book was released on 2012-01-06 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in the Boolean Domain by : Bernd Steinbach
Download or read book Advances in the Boolean Domain written by Bernd Steinbach and published by Cambridge Scholars Publishing. This book was released on 2022-09-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers together the results of research on the Boolean domain related to important real-life applications that will support the reader in solving their scientific and practical tasks. It highlights that ongoing digitalization leads to increasing amounts of complex applications, the digits of which are usually encoded by Boolean variables due to their simplicity as only two values are used. However, as shown here, an exponentially growing number of vectors of Boolean variables can negate this simplicity, which leads to challenges in advancing progress in the Boolean domain and supporting a wide range of applications.
Book Synopsis Analysis of Boolean Functions by : Ryan O'Donnell
Download or read book Analysis of Boolean Functions written by Ryan O'Donnell and published by Cambridge University Press. This book was released on 2014-06-05 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boolean Functions by : Winfrid G. Schneeweiss
Download or read book Boolean Functions written by Winfrid G. Schneeweiss and published by Springer. This book was released on 1989 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern systems engineering (e. g. switching circuits design) and operations research (e. g. reliability systems theory) use Boolean functions with increasing regularity. For practitioners and students in these fields books written for mathe maticians are in several respects not the best source of easy to use information, and standard books, such as, on switching circuits theory and reliability theory, are mostly somewhat narrow as far as Boolean analysis is concerned. Further more, in books on switching circuits theory the relevant stochastic theory is not covered. Aspects of the probabilistic theory of Boolean functions are treated in some works on reliability theory, but the results deserve a much broader interpre tation. Just as the applied theory (e. g. of the Laplace transform) is useful in control theory, renewal theory, queueing theory, etc. , the applied theory of Boolean functions (of indicator variables) can be useful in reliability theory, switching circuits theory, digital diagnostics and communications theory. This book is aimed at providing a sufficiently deep understanding of useful results both in practical work and in applied research. Boolean variables are restricted here to indicator or O/l variables, i. e. variables whose values, namely 0 and 1, are not free for a wide range of interpretations, e. g. in digital electronics 0 for L ==low voltage and 1 for H == high voltage.
Book Synopsis Cryptographic Boolean Functions and Applications by : Thomas W. Cusick
Download or read book Cryptographic Boolean Functions and Applications written by Thomas W. Cusick and published by Academic Press. This book was released on 2017-03-31 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptographic Boolean Functions and Applications, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in particular banking, relevant material is scattered over hundreds of journal articles, conference proceedings, books, reports and notes, some of them only available online. This book follows the previous edition in sifting through this compendium and gathering the most significant information in one concise reference book. The work therefore encompasses over 600 citations, covering every aspect of the applications of cryptographic Boolean functions. Since 2008, the subject has seen a very large number of new results, and in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text. Presents a foundational approach, beginning with the basics of the necessary theory, then progressing to more complex content Includes major concepts that are presented with complete proofs, with an emphasis on how they can be applied Includes an extensive list of references, including 100 new to this edition that were chosen to highlight relevant topics Contains a section on special functions and all-new numerical examples
Book Synopsis Progress in Cryptology - INDOCRYPT 2001 by : C. Pandu Rangan
Download or read book Progress in Cryptology - INDOCRYPT 2001 written by C. Pandu Rangan and published by Springer Science & Business Media. This book was released on 2001-12-05 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference in Cryptology in India, INDOCRYPT 2001, held in Chennai, India in December 2001. The 31 revised full papers presented together with an invited survey were carefully reviewed and selected from 77 submissions. The papers are organized in topical sections on hashing, algebraic schemes, elliptic curves, coding theory, applications, cryptanalysis, distributed cryptography, Boolean functions, digitial signatures, and shift registers.
Book Synopsis Boolean Differential Calculus by : Bernd Steinbach
Download or read book Boolean Differential Calculus written by Bernd Steinbach and published by Springer Nature. This book was released on 2022-05-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boolean Differential Calculus (BDC) is a very powerful theory that extends the basic concepts of Boolean Algebras significantly. Its applications are based on Boolean spaces and n, Boolean operations, and basic structures such as Boolean Algebras and Boolean Rings, Boolean functions, Boolean equations, Boolean inequalities, incompletely specified Boolean functions, and Boolean lattices of Boolean functions. These basics, sometimes also called switching theory, are widely used in many modern information processing applications. The BDC extends the known concepts and allows the consideration of changes of function values. Such changes can be explored for pairs of function values as well as for whole subspaces. The BDC defines a small number of derivative and differential operations. Many existing theorems are very welcome and allow new insights due to possible transformations of problems. The available operations of the BDC have been efficiently implemented in several software packages. The common use of the basic concepts and the BDC opens a very wide field of applications. The roots of the BDC go back to the practical problem of testing digital circuits. The BDC deals with changes of signals which are very important in applications of the analysis and the synthesis of digital circuits. The comprehensive evaluation and utilization of properties of Boolean functions allow, for instance, to decompose Boolean functions very efficiently; this can be applied not only in circuit design, but also in data mining. Other examples for the use of the BDC are the detection of hazards or cryptography. The knowledge of the BDC gives the scientists and engineers an extended insight into Boolean problems leading to new applications, e.g., the use of Boolean lattices of Boolean functions.
Book Synopsis Progress in Cryptology - INDOCRYPT 2004 by : Anne Canteaut
Download or read book Progress in Cryptology - INDOCRYPT 2004 written by Anne Canteaut and published by Springer. This book was released on 2004-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The INDOCRYPT series of conferences started in 2000. INDOCRYPT 2004 was the ?fth one in this series. The popularity of this series is increasing every year. The number of papers submitted to INDOCRYPT 2004 was 181, out of which 147 papers conformed to the speci?cations in the call for papers and, therefore, were accepted to the review process. Those 147 submissions were spread over 22 countries. Only 30 papers were accepted to this proceedings. We should note that many of the papers that were not accepted were of good quality but only the top 30 papers were accepted. Each submission received at least three independent - views. The selection process also included a Web-based discussion phase. We made e?orts to compare the submissions with other ongoing conferences around the world in order to ensure detection of double-submissions, which were not - lowed by the call for papers. We wish to acknowledge the use of the Web-based review software developed by Bart Preneel, Wim Moreau, and Joris Claessens in conducting the review process electronically. The software greatly facilitated the Program Committee in completing the review process on time. We would like to thank C ́ edric Lauradoux and the team at INRIA for their total support in c- ?guring and managing the Web-based submission and review softwares. We are unable to imagine the outcome of the review process without their participation. This year the invited talks were presented by Prof. Colin Boyd and Prof.
Book Synopsis Progress in Cryptology -- INDOCRYPT 2003 by : Thomas Johansson
Download or read book Progress in Cryptology -- INDOCRYPT 2003 written by Thomas Johansson and published by Springer. This book was released on 2003-12-16 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Cryptology in India, INDOCRYPT 2003, held in New Delhi, India in December 2003. The 29 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 101 submissions. The papers are organized in topical sections on stream ciphers, block ciphers, Boolean functions, secret sharing, bilinear pairings, public key cryptography, signature schemes, protocols, elliptic curve cryptography and algebraic geometry, implementation and digital watermarking, and authentication.
Book Synopsis Progress in Cryptology - INDOCRYPT 2006 by : Rana Barua
Download or read book Progress in Cryptology - INDOCRYPT 2006 written by Rana Barua and published by Springer Science & Business Media. This book was released on 2006-11-27 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Cryptology in India, INDOCRYPT 2006, held in Kolkata, India in December 2006. The 29 revised full papers and 2 invited papers cover such topics as symmetric cryptography, provable security, fast implementation of public key cryptography, id-based cryptography, as well as embedded systems and side channel attacks.
Book Synopsis Advances in Cryptology - EUROCRYPT 2006 by : Serge Vaudenay
Download or read book Advances in Cryptology - EUROCRYPT 2006 written by Serge Vaudenay and published by Springer Science & Business Media. This book was released on 2006-05-26 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 25th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2006. 33 revised full papers are presented together with 2 invited talks. The papers are organized in topical sections on cryptanalysis, cryptography meets humans, stream ciphers, hash functions, oblivious transfer, numbers and lattices, foundations, block ciphers, cryptography without random oracles, multiparty computation, and cryptography for groups.
Download or read book Boolean Functions written by Yves Crama and published by . This book was released on 2011 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Progress in Cryptology – INDOCRYPT 2017 by : Arpita Patra
Download or read book Progress in Cryptology – INDOCRYPT 2017 written by Arpita Patra and published by Springer. This book was released on 2017-12-02 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Conference on Cryptology in India, INDOCRYPT 2017, held in Chennai, India, in December 2017. The 19 revised full papers presented in this book were carefully reviewed and selected from 75 submissions. The focus of the conference includes works on Public-Key Cryptography, Cryptographic Protocols, Side-Channel Attacks, Implementation of Cryptographic Schemes, Functional Encryption, Symmetric-Key Cryptanalysis, Foundations, and New Cryptographic Constructions.
Book Synopsis Recent Progress in the Boolean Domain by : Bernd Steinbach
Download or read book Recent Progress in the Boolean Domain written by Bernd Steinbach and published by Cambridge Scholars Publishing. This book was released on 2014-04-23 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: In today’s world, people are using more and more digital systems in daily life. Such systems utilize the elementariness of Boolean values. A Boolean variable can carry only two different Boolean values: FALSE or TRUE (0 or 1), and has the best interference resistance in technical systems. However, a Boolean function exponentially depends on the number of its variables. This exponential complexity is the cause of major problems in the process of design and realization of circuits. According to Moore’s Law, the complexity of digital systems approximately doubles every 18 months. This requires comprehensive knowledge and techniques to solve very complex Boolean problems. This book summarizes the recent progress in the Boolean domain in solving such issues. Part 1 describes the most powerful approaches in solving exceptionally complex Boolean problems. It is shown how an extremely rare solution could be found in a gigantic search space of more than 10^195 (this is a number of 196 decimal digits) different color patterns. Part 2 describes new research into digital circuits that realize Boolean functions. This part contains the chapters “Design” and “Test”, which present solutions to problems of power dissipation, and the testing of digital circuits using a special data structure, as well as further topics. Part 3 contributes to the scientific basis of future circuit technologies, investigating the need for completely new design methods for the atomic level of quantum computers. This section also concerns itself with circuit structures in reversible logic as the basis for quantum logic.
