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Cryptographic Boolean Functions and Applications

Author: Thomas W. Cusick

Publisher: Academic Press

Published: 2017-03-31

Total Pages: 288

ISBN-13: 0128111305

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

Author: Claude Carlet

Publisher: Cambridge University Press

Published: 2021-01-07

Total Pages: 577

ISBN-13: 1108634664

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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 and Their Applications in Cryptography

Author: Chuan-Kun Wu

Publisher: Springer

Published: 2016-02-23

Total Pages: 256

ISBN-13: 3662488655

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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

Published: 2015-08-24

Total Pages: 220

ISBN-13: 0128025557

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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

Author: Sihem Mesnager

Publisher: Springer

Published: 2016-08-09

Total Pages: 544

ISBN-13: 3319325957

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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.

Analysis of Boolean Functions

Author: Ryan O'Donnell

Publisher: Cambridge University Press

Published: 2014-06-05

Total Pages: 445

ISBN-13: 1107038324

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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 Models and Methods in Mathematics, Computer Science, and Engineering

Author: Yves Crama

Publisher: Cambridge University Press

Published: 2010-06-28

Total Pages: 781

ISBN-13: 0521847524

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A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.

Advances in Cryptology - CRYPTO '88

Author: Shafi Goldwasser

Publisher: Springer

Published: 2008-10-20

Total Pages: 591

ISBN-13: 0387347992

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The papers in this volume were presented at the CRYPTO '88 conference on theory and applications of cryptography, held in Santa Barbara, California, August 21-25, 1988. The papers were chosen for their perceived originality and often represent preliminary reports on continuing research. The main sections deal with the following topics: Zero-Knowledge, Number Theory, Pseudorandomness, Signatures, Complexity, Protocols, Security, Cryptoanalysis. As such, they will give the committed reader a unique insight into the very latest developments in the field.

Advances in Cryptology – EUROCRYPT 2004

Author: Christian Cachin

Publisher: Springer

Published: 2004-04-16

Total Pages: 641

ISBN-13: 3540246762

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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.

Selected Areas in Cryptography

Author: Mitsuru Matsui

Publisher: Springer

Published: 2004-05-17

Total Pages: 368

ISBN-13: 3540246541

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This book constitutes the thoroughly refereed postproceedings of the 10th Annual International Workshop on Selected Areas in Cryptography, SAC 2003, held in Ottawa, Canada, in August 2003. The 25 revised full papers presented were carefully selected from 85 submissions during two rounds of reviewing and improvement. The papers are organized in topical sections on elliptic and hyperelliptic curves, side channel attacks, security protocols and applications, cryptanalysis, cryptographic primitives, stream ciphers, and efficient implementations.