Boolean Functions for Cryptography and Coding Theory

Boolean Functions for Cryptography and Coding Theory

Author: Claude Carlet

Publisher: Cambridge University Press

Published: 2021-01-07

Total Pages: 577

ISBN-13: 1108634664

DOWNLOAD EBOOK

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 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

Boolean Functions in Coding Theory and Cryptography

Author: Oleg A. Logachev

Publisher: American Mathematical Soc.

Published: 2012-02-08

Total Pages: 352

ISBN-13: 0821846809

DOWNLOAD EBOOK

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.


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

Boolean Functions for Cryptography and Coding Theory

Author: Claude Carlet

Publisher: Cambridge University Press

Published: 2021-01-07

Total Pages: 577

ISBN-13: 1108473806

DOWNLOAD EBOOK

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


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

Cryptographic Boolean Functions and Applications

Cryptographic Boolean Functions and Applications

Author: Thomas W. Cusick

Publisher: Academic Press

Published: 2017-03-31

Total Pages: 290

ISBN-13: 0128111305

DOWNLOAD EBOOK

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 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 290 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

Boolean Functions in Coding Theory and Cryptography

Boolean Functions in Coding Theory and Cryptography

Author: OLEG A. LOGACHEV

Publisher:

Published: 2012

Total Pages: 352

ISBN-13: 9781470416263

DOWNLOAD EBOOK

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.


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 . This book was released on 2012 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.

Bent Functions

Bent Functions

Author: Sihem Mesnager

Publisher: Springer

Published: 2016-08-09

Total Pages: 561

ISBN-13: 3319325957

DOWNLOAD EBOOK

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 : 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 561 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.

Analysis of Boolean Functions

Analysis of Boolean Functions

Author: Ryan O'Donnell

Publisher: Cambridge University Press

Published: 2014-06-05

Total Pages: 445

ISBN-13: 1107038324

DOWNLOAD EBOOK

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 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 Models and Methods in Mathematics, Computer Science, and Engineering

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

DOWNLOAD EBOOK

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


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.

Bent Functions

Bent Functions

Author: Natalia Tokareva

Publisher: Academic Press

Published: 2015-08-24

Total Pages: 221

ISBN-13: 0128025557

DOWNLOAD EBOOK

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 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 221 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

Coding Theory and Cryptology

Coding Theory and Cryptology

Author: Harald Niederreiter

Publisher: World Scientific

Published: 2002

Total Pages: 464

ISBN-13: 9789812384508

DOWNLOAD EBOOK

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.


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 with total page 464 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.