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. Compatible with any devices. This book brings together five topics on the application of Boolean functions. They are 1.
There are many classifications, each with their own distinct merit. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks. 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. 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. 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.
A complete, accessible book on single and multiple output Boolean functions in cryptography and coding, with recent applications and problems. The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. Cryptographers and number theorists will find this book useful.
Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems i. 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. 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. These proceedings consist of three parts. The first part contains survey lectures on various areas of Boolean function theory that are of primary importance for cryptology.
These lectures were delivered by leading researchers from many countries and contain both classic and recent results. The second part contains research papers written by graduate and postgraduate students of Lomonosov University, Moscow. The third part contains a list of open problems in Boolean function theory. The book includes lectures and papers concern the following areas: cryptographic properties of Boolean functions and mappings; algebraic and combinatorial constructions of Boolean functions and mappings with prescribed cryptographic properties; Boolean functions and mappings in cryptosynthesis; classification of Boolean functions; cryptanalysis of ciphers; and, efficient computations in finite fields.
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions. 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. These are the proceedings of Eurocrypt , the 23rd Annual Eurocrypt C- ference.
Theconferencereceivedarecordnumberofsubmissions,outofwhichthe program committee selected 36 for presentation at the conference three papers were withdrawn by the authors shortly after submission. These proceedings contain revised versions of the accepted papers. These revisions have not been checked for correctness, and the authors bear full responsibility for the contents of their papers.
The conference program also featured two invited talks. The second invited talk was by Ivan Damg? The reviewing process was a challenging task, and many good submissions had to be rejected. Each paper was reviewed independently by at least three members of the program committee, and papers co-authored by a member of the program committee were reviewed by at least six other members. The individual reviewing phase was followed by profound and sometimes lively d- cussions about the papers, which contributed a lot to the quality of the?
Extensive comments were sent to the authors in most cases. Cusick and P. Dobbertin andG. Carlet, On cryptographic complexity of Boolean functions. Carlet and P.
Cryptographic Boolean Functions and Applications. Academic Press, Elsevier Inc. Functia logistica, dinamica, bifurcatie si haos. Pitesti: editura Universitatii din Pitesti in Romanian. Cusick, P. Skip to content. Generation of Boolean functions using Genetic Algorithm for cryptographic applications. View 1 excerpt, cites background. Cryptographic Boolean functions: One output, many design criteria. Mathematics, Computer Science.
Soft Comput. View 2 excerpts, cites background. Cellular automata, boolean functions and combinatorial designs. Special Types of Boolean Functions. This chapter discusses specific types of Boolean functions, with emphasis on the properties that are relevant to cryptography applications.
The first topic is symmetric functions, since these are so … Expand.
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