Boolean Functions And Their Applications In Cryptography
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Boolean Functions And Their Applications In Cryptography
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Author : Chuan-Kun Wu
language : en
Publisher: Springer
Release Date : 2016-02-23
Boolean Functions And Their Applications In Cryptography written by Chuan-Kun Wu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-23 with Computers categories.
This book focuses on the different representations and cryptographic properties of Booleans functions, presents constructions of Boolean functions with some good cryptographic properties. More specifically, Walsh spectrum description of the traditional cryptographic properties of Boolean functions, including linear structure, propagation criterion, nonlinearity, and correlation immunity are presented. Constructions of symmetric Boolean functions and of Boolean permutations with good cryptographic properties are specifically studied. This book is not meant to be comprehensive, but with its own focus on some original research of the authors in the past. To be self content, some basic concepts and properties are introduced. This book can serve as a reference for cryptographic algorithm designers, particularly the designers of stream ciphers and of block ciphers, and for academics with interest in the cryptographic properties of Boolean functions.
Cryptographic Boolean Functions And Applications
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Author : Thomas W. Cusick
language : en
Publisher: Academic Press
Release Date : 2009
Cryptographic Boolean Functions And Applications written by Thomas W. Cusick and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.
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 Functions For Cryptography And Coding Theory
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Author : Claude Carlet
language : en
Publisher: Cambridge University Press
Release Date : 2021-01-07
Boolean Functions For Cryptography And Coding Theory written by Claude Carlet 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 2021-01-07 with Computers categories.
A complete, accessible book on single and multiple output Boolean functions in cryptography and coding, with recent applications and problems.
Boolean Functions
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Author : Yves Crama
language : en
Publisher: Cambridge University Press
Release Date : 2011-05-16
Boolean Functions written by Yves Crama 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 2011-05-16 with Mathematics categories.
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.
Analysis Of Boolean Functions
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Author : Ryan O'Donnell
language : en
Publisher: Cambridge University Press
Release Date : 2014-06-05
Analysis Of Boolean Functions written by Ryan O'Donnell 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 2014-06-05 with Computers categories.
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.
Cryptographic Boolean Functions And Applications
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Author : Thomas W. Cusick
language : en
Publisher: Academic Press
Release Date : 2009-03-04
Cryptographic Boolean Functions And Applications written by Thomas W. Cusick and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-04 with Mathematics categories.
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
Bent Functions
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Author : Natalia Tokareva
language : en
Publisher: Academic Press
Release Date : 2015-08-24
Bent Functions written by Natalia Tokareva and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-24 with Computers categories.
Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more. - Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications - Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography - Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers
Sequences And Their Applications
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Author : T. Helleseth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Sequences And Their Applications written by T. Helleseth 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 2012-12-06 with Mathematics categories.
Pseudorandom sequences have widespread applications, for instance, in spread spectrum, code division multiple access, optical and ultrawide band communication systems, as well as in ranging systems global positioning systems, circuit testing and stream ciphers. Such sequences also have strong ties to error-correcting codes. This volume contains survey and research papers on sequences and their applications. It brings together leading experts from discrete mathematics, computer science and communications engineering, and helps to bridge advances in these different areas. Papers in this volume discuss the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation.
Bent Functions
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Author : Sihem Mesnager
language : en
Publisher: Springer
Release Date : 2016-08-09
Bent Functions written by Sihem Mesnager and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-09 with Computers categories.
This book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results. This book uniquely provides a necessary comprehensive coverage of bent functions.It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.
Sequences And Their Applications Seta 2014
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Author : Kai-Uwe Schmidt
language : en
Publisher: Springer
Release Date : 2014-11-17
Sequences And Their Applications Seta 2014 written by Kai-Uwe Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-17 with Computers categories.
This book constitutes the refereed proceedings of the 8th International Conference on Sequences and Their Applications, SETA 2014, held in Melbourne, VIC, Australia, in November 2014. The 24 full papers presented together with 2 invited papers were carefully reviewed and selected from 36 submissions. The papers have been organized in topical sections on Boolean functions, perfect sequences, correlation of arrays, relative difference sets, aperiodic correlation, pseudorandom sequences and stream ciphers, crosscorrelation of sequences, prime numbers in sequences, OFDM and CDMA, and frequency-hopping sequences.