Boolean Functions And Their Applications In Cryptography

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Boolean Functions and Their Applications in Cryptography

Chuan-Kun Wu,Dengguo Feng
Boolean Functions and Their Applications in Cryptography Book PDF

Author : Chuan-Kun Wu,Dengguo Feng
Publisher : Springer
Page : 256 pages
File Size : 51,8 Mb
Release : 2016-02-23
Category : Computers
ISBN : 9783662488652

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Boolean Functions and Their Applications in Cryptography by Chuan-Kun Wu,Dengguo Feng Pdf

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

Thomas W. Cusick,Pantelimon Stanica
Cryptographic Boolean Functions and Applications Book PDF

Author : Thomas W. Cusick,Pantelimon Stanica
Publisher : Academic Press
Page : 288 pages
File Size : 41,6 Mb
Release : 2017-03-31
Category : Mathematics
ISBN : 9780128111307

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Cryptographic Boolean Functions and Applications by Thomas W. Cusick,Pantelimon Stanica Pdf

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

Boolean Functions for Cryptography and Coding Theory

Claude Carlet
Boolean Functions for Cryptography and Coding Theory Book PDF

Author : Claude Carlet
Publisher : Cambridge University Press
Page : 577 pages
File Size : 54,9 Mb
Release : 2021-01-07
Category : Computers
ISBN : 9781108473804

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Boolean Functions for Cryptography and Coding Theory by Claude Carlet Pdf

A complete, accessible book on single and multiple output Boolean functions in cryptography and coding, with recent applications and problems.

Bent Functions

Natalia Tokareva
Bent Functions Book PDF

Author : Natalia Tokareva
Publisher : Academic Press
Page : 220 pages
File Size : 50,8 Mb
Release : 2015-08-24
Category : Mathematics
ISBN : 9780128025550

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Bent Functions by Natalia Tokareva Pdf

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

Bent Functions

Sihem Mesnager
Bent Functions Book PDF

Author : Sihem Mesnager
Publisher : Springer
Page : 544 pages
File Size : 44,5 Mb
Release : 2016-08-09
Category : Computers
ISBN : 9783319325958

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Bent Functions by Sihem Mesnager Pdf

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.

Fonctions booléennes / Boolean Functions

Jean-Francis Michon,Pierre Valarcher,Jean-Baptiste Yunès
Fonctions bool ennes Boolean Functions Book PDF

Author : Jean-Francis Michon,Pierre Valarcher,Jean-Baptiste Yunès
Publisher : Presses universitaires de Rouen et du Havre
Page : 216 pages
File Size : 40,9 Mb
Release : 2005
Category : Science
ISBN : 2877754227

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Fonctions booléennes / Boolean Functions by Jean-Francis Michon,Pierre Valarcher,Jean-Baptiste Yunès Pdf

En mars 2006 s'est tenu à Rouen BFCA'06, le second atelier sur le thème des Fonctions Booléennes. Pendant trois jours, de nombreux chercheurs internationaux s'y sont rencontrés et y ont parlé de leurs travaux. Cet ouvrage est composé des articles associés aux différentes conférences qui s'y sont tenues.

Analysis of Boolean Functions

Ryan O'Donnell
Analysis of Boolean Functions Book PDF

Author : Ryan O'Donnell
Publisher : Cambridge University Press
Page : 445 pages
File Size : 48,9 Mb
Release : 2014-06-05
Category : Computers
ISBN : 9781107038325

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Analysis of Boolean Functions by Ryan O'Donnell Pdf

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

Yves Crama,Peter L. Hammer
Boolean Functions Book PDF

Author : Yves Crama,Peter L. Hammer
Publisher : Cambridge University Press
Page : 711 pages
File Size : 49,9 Mb
Release : 2011-05-16
Category : Mathematics
ISBN : 9781139498630

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Boolean Functions by Yves Crama,Peter L. Hammer Pdf

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.

Progress in Applications of Boolean Functions

Tsutomu Sasao,Jon T. Butler
Progress in Applications of Boolean Functions Book PDF

Author : Tsutomu Sasao,Jon T. Butler
Publisher : Morgan & Claypool Publishers
Page : 153 pages
File Size : 49,6 Mb
Release : 2010
Category : Algebra, Boolean
ISBN : 9781608451814

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Progress in Applications of Boolean Functions by Tsutomu Sasao,Jon T. Butler Pdf

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

Progress in Applications of Boolean Functions

Tsutomu Sasao,Jon Butler
Progress in Applications of Boolean Functions Book PDF

Author : Tsutomu Sasao,Jon Butler
Publisher : Springer Nature
Page : 139 pages
File Size : 55,8 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031798122

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Progress in Applications of Boolean Functions by Tsutomu Sasao,Jon Butler Pdf

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

Sequences and Their Applications - SETA 2008

Solomon W. Golomb,Matthew G. Parker,Alexander Pott,Arne Winterhof
Sequences and Their Applications SETA 2008 Book PDF

Author : Solomon W. Golomb,Matthew G. Parker,Alexander Pott,Arne Winterhof
Publisher : Springer
Page : 421 pages
File Size : 42,8 Mb
Release : 2008-09-15
Category : Computers
ISBN : 9783540859123

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Sequences and Their Applications - SETA 2008 by Solomon W. Golomb,Matthew G. Parker,Alexander Pott,Arne Winterhof Pdf

This book constitutes the refereed proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008. The 32 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.

Cryptographic Boolean Functions and Applications

Thomas W. Cusick,Pantelimon Stanica
Cryptographic Boolean Functions and Applications Book PDF

Author : Thomas W. Cusick,Pantelimon Stanica
Publisher : Academic Press
Page : 245 pages
File Size : 47,6 Mb
Release : 2009-03-04
Category : Mathematics
ISBN : 9780080952222

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Cryptographic Boolean Functions and Applications by Thomas W. Cusick,Pantelimon Stanica Pdf

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

Sequences and their Applications

T. Helleseth,P.V. Kumar,K. Yang
Sequences and their Applications Book PDF

Author : T. Helleseth,P.V. Kumar,K. Yang
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447106739

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Sequences and their Applications by T. Helleseth,P.V. Kumar,K. Yang Pdf

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.

Sequences and Their Applications - SETA 2014

Kai-Uwe Schmidt,Arne Winterhof
Sequences and Their Applications SETA 2014 Book PDF

Author : Kai-Uwe Schmidt,Arne Winterhof
Publisher : Springer
Page : 307 pages
File Size : 50,9 Mb
Release : 2014-11-17
Category : Computers
ISBN : 9783319123257

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Sequences and Their Applications - SETA 2014 by Kai-Uwe Schmidt,Arne Winterhof Pdf

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.

Sequences and Their Applications - SETA 2010

Claude Carlet,Alexander Pott
Sequences and Their Applications SETA 2010 Book PDF

Author : Claude Carlet,Alexander Pott
Publisher : Springer
Page : 465 pages
File Size : 47,5 Mb
Release : 2010-09-07
Category : Computers
ISBN : 9783642158742

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Sequences and Their Applications - SETA 2010 by Claude Carlet,Alexander Pott Pdf

This book constitutes the proceedings of the 6th International Conference on Sequences and Their Applications held in Paris, France, in September 2010.