Boolean Functions In Coding Theory And Cryptography

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Boolean Functions for Cryptography and Coding Theory

Author : Claude Carlet
Publisher : Cambridge University Press
ISBN 13 : 1108634664
Total Pages : 577 pages
Book Rating : 4.1/5 (86 download)

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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.

Boolean Functions in Coding Theory and Cryptography

Author : Oleg A. Logachev
Publisher : American Mathematical Soc.
ISBN 13 : 0821846809
Total Pages : 352 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Boolean Functions in Coding Theory and Cryptography by : Oleg A. Logachev

Download or read book Boolean Functions in Coding Theory and Cryptography written by Oleg A. Logachev and published by American Mathematical Soc.. This book was released on 2012-02-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic presentation of cryptographic and code-theoretic aspects of the theory of Boolean functions. Both classical and recent results are thoroughly presented. Prerequisites for the book include basic knowledge of linear algebra, group theory, theory of finite fields, combinatorics, and probability. The book can be used by research mathematicians and graduate students interested in discrete mathematics, coding theory, and cryptography.

Boolean Functions for Cryptography and Coding Theory

Author : Claude Carlet
Publisher : Cambridge University Press
ISBN 13 : 1108473806
Total Pages : 577 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet

Cryptographic Boolean Functions and Applications

Author : Thomas W. Cusick
Publisher : Academic Press
ISBN 13 : 0128111305
Total Pages : 288 pages
Book Rating : 4.1/5 (281 download)

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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

Bent Functions

Author : Sihem Mesnager
Publisher : Springer
ISBN 13 : 3319325957
Total Pages : 544 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Bent Functions by : Sihem Mesnager

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.

Boolean Models and Methods in Mathematics, Computer Science, and Engineering

Author : Yves Crama
Publisher : Cambridge University Press
ISBN 13 : 0521847524
Total Pages : 781 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Boolean Models and Methods in Mathematics, Computer Science, and Engineering by : Yves Crama

Download or read book Boolean Models and Methods in Mathematics, Computer Science, and Engineering written by Yves Crama and published by Cambridge University Press. This book was released on 2010-06-28 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.

Analysis of Boolean Functions

Author : Ryan O'Donnell
Publisher : Cambridge University Press
ISBN 13 : 1107038324
Total Pages : 445 pages
Book Rating : 4.1/5 (7 download)

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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.

Boolean Functions and Their Applications in Cryptography

Author : Chuan-Kun Wu
Publisher : Springer
ISBN 13 : 3662488655
Total Pages : 256 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Boolean Functions and Their Applications in Cryptography by : Chuan-Kun Wu

Download or read book Boolean Functions and Their Applications in Cryptography written by Chuan-Kun Wu and published by Springer. This book was released on 2016-02-23 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bent Functions

Author : Natalia Tokareva
Publisher : Academic Press
ISBN 13 : 0128025557
Total Pages : 220 pages
Book Rating : 4.1/5 (28 download)

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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

Cryptography and Coding

Author : Matthew G. Parker
Publisher : Springer Science & Business Media
ISBN 13 : 3642108679
Total Pages : 505 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Cryptography and Coding by : Matthew G. Parker

Download or read book Cryptography and Coding written by Matthew G. Parker and published by Springer Science & Business Media. This book was released on 2009-12-07 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The12thintheseriesofIMAConferencesonCryptographyandCodingwasheld at the Royal Agricultural College, Cirencester, December 15–17, 2009. The p- gram comprised 3 invited talks and 26 contributed talks. The contributed talks werechosenbyathoroughreviewingprocessfrom53submissions.Oftheinvited and contributed talks,28 arerepresentedaspapersin this volume. These papers are grouped loosely under the headings: Coding Theory, Symmetric Crypt- raphy, Security Protocols, Asymmetric Cryptography, Boolean Functions, and Side Channels and Implementations. Numerous people helped to make this conference a success. To begin with I would like to thank all members of the Technical Program Committee who put a great deal of e?ort into the reviewing process so as to ensure a hi- quality program. Moreover, I wish to thank a number of people, external to the committee, who also contributed reviews on the submitted papers. Thanks, of course,mustalso goto allauthorswho submitted papers to the conference,both those rejected and accepted. The review process was also greatly facilitated by the use of the Web-submission-and-review software, written by Shai Halevi of IBM Research, and I would like to thank him for making this package available to the community. The invited talks were given by Frank Kschischang, Ronald Cramer, and Alexander Pott, and two of these invitedtalksappearaspapersinthisvolume. A particular thanks goes to these invited speakers, each of whom is well-known, notonlyforbeingaworld-leaderintheir?eld,butalsofortheirparticularability to communicate their expertise in an enjoyable and stimulating manner.

Coding and Cryptography

Author : Øyvind Ytrehus
Publisher : Springer Science & Business Media
ISBN 13 : 3540354816
Total Pages : 452 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Coding and Cryptography by : Øyvind Ytrehus

Download or read book Coding and Cryptography written by Øyvind Ytrehus and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Coding and Cryptography, WCC 2005, held in Bergen, Norway, in March 2005. The 33 revised full papers were carefully reviewed and selected during two rounds of review. The papers address all aspects of coding theory, cryptography and related areas, theoretical or applied.

Discrete Mathematics With Cryptographic Applications

Author : Alexander I. Kheyfits
Publisher : Mercury Learning and Information
ISBN 13 : 1683927613
Total Pages : 402 pages
Book Rating : 4.6/5 (839 download)

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Book Synopsis Discrete Mathematics With Cryptographic Applications by : Alexander I. Kheyfits

Download or read book Discrete Mathematics With Cryptographic Applications written by Alexander I. Kheyfits and published by Mercury Learning and Information. This book was released on 2021-09-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers discrete mathematics both as it has been established after its emergence since the middle of the last century and as its elementary applications to cryptography. It can be used by any individual studying discrete mathematics, finite mathematics, and similar subjects. Any necessary prerequisites are explained and illustrated in the book. As a background of cryptography, the textbook gives an introduction into number theory, coding theory, information theory, that obviously have discrete nature. FEATURES: Designed in a “self-teaching” format, the book includes about 600 problems (with and without solutions) and numerous examples of cryptography Covers cryptography topics such as CRT, affine ciphers, hashing functions, substitution ciphers, unbreakable ciphers, Discrete Logarithm Problem (DLP), and more.

Advances in Cryptology – EUROCRYPT 2004

Author : Christian Cachin
Publisher : Springer
ISBN 13 : 3540246762
Total Pages : 641 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Advances in Cryptology – EUROCRYPT 2004 by : Christian Cachin

Download or read book Advances in Cryptology – EUROCRYPT 2004 written by Christian Cachin and published by Springer. This book was released on 2004-04-16 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of Eurocrypt 2004, the 23rd Annual Eurocrypt C- ference. The conference was organized by members of the IBM Zurich Research Laboratory in cooperation with IACR, the International Association for Cr- tologic Research. Theconferencereceivedarecordnumberof206submissions,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 ?rst one was the 2004 IACR Distinguished Lecture given by Whit?eld Di?e. The second invited talk was by Ivan Damg? ard who presented “Paradigms for Multiparty Computation. ” The traditional rump session with short informal talks on recent results was chaired by Arjen Lenstra. 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 ?nal selection. Extensive comments were sent to the authors in most cases.

Coding Theory and Cryptology

Author : Harald Niederreiter
Publisher : World Scientific
ISBN 13 : 981448766X
Total Pages : 460 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Coding Theory and Cryptology by : Harald Niederreiter

Download or read book Coding Theory and Cryptology written by Harald Niederreiter and published by World Scientific. This book was released on 2002-12-03 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security. Contents:Extremal Problems of Coding Theory (A Barg)Analysis and Design Issues for Synchronous Stream Ciphers (E Dawson & L Simpson)Quantum Error-Correcting Codes (K Feng)Public Key Infrastructures (D Gollmann)Computational Methods in Public Key Cryptology (A K Lenstra)Detecting and Revoking Compromised Keys (T Matsumoto)Algebraic Function Fields Over Finite Fields (H Niederreiter)Authentication Schemes (D Y Pei)Exponential Sums in Coding Theory, Cryptology and Algorithms (I E Shparlinski)Distributed Authorization: Principles and Practice (V Varadharajan)Introduction to Algebraic Geometry Codes (C P Xing) Readership: Graduate students and researchers in number theory, discrete mathematics, coding theory, cryptology and IT security. Keywords:Coding Theory;Cryptology;Number Theory;Algebraic-Geometry Codes;Public-Key Infrastructures;Error-Correcting Codes

Algebra for Cryptologists

Author : Alko R. Meijer
Publisher : Springer
ISBN 13 : 3319303961
Total Pages : 301 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Algebra for Cryptologists by : Alko R. Meijer

Download or read book Algebra for Cryptologists written by Alko R. Meijer and published by Springer. This book was released on 2016-09-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved. Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course in cryptography or an upper undergraduate course in algebra, or for self-study in preparation for postgraduate study in cryptology.

Concise Encyclopedia of Coding Theory

Author : W. Cary Huffman
Publisher : CRC Press
ISBN 13 : 1351375105
Total Pages : 998 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Concise Encyclopedia of Coding Theory by : W. Cary Huffman

Download or read book Concise Encyclopedia of Coding Theory written by W. Cary Huffman and published by CRC Press. This book was released on 2021-03-26 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research

Progress in Cryptology - INDOCRYPT 2004

Author : Anne Canteaut
Publisher : Springer Science & Business Media
ISBN 13 : 3540241302
Total Pages : 442 pages
Book Rating : 4.5/5 (42 download)

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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 Science & Business Media. This book was released on 2004-12-13 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Cryptology in India, INDOCRYPT 2004, held in Chennai, India in December 2004. The 30 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 181 submissions. The papers are organized in topical sections on cryptographic protocols, applications, stream ciphers, cryptographic Boolean functions, foundations, block ciphers, public key encryption, efficient representations, public key cryptanalysis, modes of operation, signatures, and traitor tracing and visual cryptography.