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Bent Functions
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Download or read book Bent Functions written by Sihem Mesnager and published by Springer. This book was released on 2016-08-09 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Bent Functions by : Natalia Tokareva
Download or read book Bent Functions written by Natalia Tokareva and published by Academic Press. This book was released on 2015-08-24 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
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 Advances in Cryptology, EUROCRYPT '93 by : Tor Helleseth
Download or read book Advances in Cryptology, EUROCRYPT '93 written by Tor Helleseth and published by Springer. This book was released on 1994 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Eurocrypt is a series of open workshops on the theory and application of cryptographic techniques. These meetings have taken place in Europe every year since 1982 and are sponsored by the International Association for Cryptologic Research. Eurocrypt '93 was held in the village of Lofthus in Norway in May 1993. The call for papers resulted in 117 submissions with authors representing 27 different countries. The 36 accepted papers were selected by the program committee after a blind refereeing process. The papers are grouped into parts on authentication, public key, block ciphers, secret sharing, stream ciphers, digital signatures, protocols, hash functions, payment systems, and cryptanalysis. The volume includes 6 further rump session papers."--PUBLISHER'S WEBSITE.
Book Synopsis Boolean Functions in Cryptology and Information Security by : B. Preneel
Download or read book Boolean Functions in Cryptology and Information Security written by B. Preneel and published by IOS Press. This book was released on 2008-07-16 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the NATO-Russia Advanced Study Institute (ASI) 'Boolean Functions in Cryptology and Information Security', which was held at September 8-18, 2007 in Zvenigorod, Moscow region, Russia. 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; Efficient computations in finite fields.
Book Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet
Download or read book Boolean Functions for Cryptography and Coding Theory written by Claude Carlet and published by Cambridge University Press. This book was released on 2021-01-07 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Discrete Geometry and Algebraic Combinatorics by : Alexander Barg
Download or read book Discrete Geometry and Algebraic Combinatorics written by Alexander Barg and published by American Mathematical Society. This book was released on 2014-08-28 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.
Book Synopsis Lecture Notes in Real-Time Intelligent Systems by : Jolanta Mizera-Pietraszko
Download or read book Lecture Notes in Real-Time Intelligent Systems written by Jolanta Mizera-Pietraszko and published by Springer. This book was released on 2017-08-07 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intelligent computing refers greatly to artificial intelligence with the aim at making computer to act as a human. This newly developed area of real-time intelligent computing integrates the aspect of dynamic environments with the human intelligence. This book presents a comprehensive practical and easy to read account which describes current state-of-the art in designing and implementing real-time intelligent computing to robotics, alert systems, IoT, remote access control, multi-agent systems, networking, mobile smart systems, crowd sourcing, broadband systems, cloud computing, streaming data and many other applications areas. The solutions discussed in this book will encourage the researchers and IT professional to put the methods into their practice.
Book Synopsis Surveys in Combinatorics 2013 by : Simon R. Blackburn
Download or read book Surveys in Combinatorics 2013 written by Simon R. Blackburn and published by Cambridge University Press. This book was released on 2013 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys of recent important developments in combinatorics covering a wide range of areas in the field.
Book Synopsis Applied Algebra, Algebraic Algorithms and Error-Correcting Codes by : Serdar Boztas
Download or read book Applied Algebra, Algebraic Algorithms and Error-Correcting Codes written by Serdar Boztas and published by Springer. This book was released on 2007-11-29 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra.
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 Applied Algebra and Number Theory by : Gerhard Larcher
Download or read book Applied Algebra and Number Theory written by Gerhard Larcher and published by Cambridge University Press. This book was released on 2014-12-11 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harald Niederreiter's pioneering research in the field of applied algebra and number theory has led to important and substantial breakthroughs in many areas. This collection of survey articles has been authored by close colleagues and leading experts to mark the occasion of his 70th birthday. The book provides a modern overview of different research areas, covering uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation. Many results are published here for the first time. The book serves as a useful starting point for graduate students new to these areas or as a refresher for researchers wanting to follow recent trends.
Book Synopsis Combinatorics and Finite Fields by : Kai-Uwe Schmidt
Download or read book Combinatorics and Finite Fields written by Kai-Uwe Schmidt and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing EditorUlrich Langer, Johannes Kepler University Linz, Austria Editorial BoardHansj rg Albrecher, University of Lausanne, SwitzerlandRonald H. W. Hoppe, University of Houston, USAKarl Kunisch, RICAM, Linz, Austria; University of Graz, AustriaHarald Niederreiter, RICAM, Linz, AustriaChristian Schmeiser, University of Vienna, Austria
Book Synopsis Arithmetic of Finite Fields by : Sihem Mesnager
Download or read book Arithmetic of Finite Fields written by Sihem Mesnager and published by Springer Nature. This book was released on 2023-01-10 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.
Book Synopsis Probabilistic Methods in Discrete Mathematics by : V. F. Kolchin
Download or read book Probabilistic Methods in Discrete Mathematics written by V. F. Kolchin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probabilistic Methods in Discrete Mathematics".
Book Synopsis Hadamard Matrices and Their Applications by : K. J. Horadam
Download or read book Hadamard Matrices and Their Applications written by K. J. Horadam and published by Princeton University Press. This book was released on 2007 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.
Book Synopsis Selected Areas in Cryptography by : Serge Vaudenay
Download or read book Selected Areas in Cryptography written by Serge Vaudenay and published by Springer. This book was released on 2003-06-30 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop on Selected Areas in Cryptology, SAC 2001, held in Toronto, Ontario, Canada in August 2001. The 25 revised full papers presented together with the abstracts of two invited talks were carefully reviewed and selected during two rounds of refereeing and revision. The papers are organized in topical sections on cryptanalysis, Boolean functions, Rijndael, elliptic curves and efficient implementation, public key systems, and protocols and MAC.
