Boolean Functions For Cryptography And Coding Theory
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Author |
: Claude Carlet |
Publisher |
: Cambridge University Press |
Total Pages |
: 577 |
Release |
: 2021-01-07 |
ISBN-10 |
: 9781108473804 |
ISBN-13 |
: 1108473806 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet
A complete, accessible book on single and multiple output Boolean functions in cryptography and coding, with recent applications and problems.
Author |
: Claude Carlet |
Publisher |
: Cambridge University Press |
Total Pages |
: 577 |
Release |
: 2021-01-07 |
ISBN-10 |
: 9781108634663 |
ISBN-13 |
: 1108634664 |
Rating |
: 4/5 (63 Downloads) |
Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet
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.
Author |
: Oleg A. Logachev |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 352 |
Release |
: 2012-02-08 |
ISBN-10 |
: 9780821846803 |
ISBN-13 |
: 0821846809 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Boolean Functions in Coding Theory and Cryptography by : Oleg A. Logachev
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.
Author |
: Thomas W. Cusick |
Publisher |
: Academic Press |
Total Pages |
: 245 |
Release |
: 2009-03-04 |
ISBN-10 |
: 9780080952222 |
ISBN-13 |
: 0080952224 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Cryptographic Boolean Functions and Applications by : Thomas W. Cusick
Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce).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. Serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions Provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography Addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource Organized logically to help the reader easily understand the topic
Author |
: Yves Crama |
Publisher |
: Cambridge University Press |
Total Pages |
: 781 |
Release |
: 2010-06-28 |
ISBN-10 |
: 9780521847520 |
ISBN-13 |
: 0521847524 |
Rating |
: 4/5 (20 Downloads) |
Synopsis Boolean Models and Methods in Mathematics, Computer Science, and Engineering by : Yves Crama
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.
Author |
: Ryan O'Donnell |
Publisher |
: Cambridge University Press |
Total Pages |
: 445 |
Release |
: 2014-06-05 |
ISBN-10 |
: 9781107038325 |
ISBN-13 |
: 1107038324 |
Rating |
: 4/5 (25 Downloads) |
Synopsis Analysis of Boolean Functions by : Ryan O'Donnell
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.
Author |
: Sihem Mesnager |
Publisher |
: Springer |
Total Pages |
: 561 |
Release |
: 2016-08-09 |
ISBN-10 |
: 9783319325958 |
ISBN-13 |
: 3319325957 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Bent Functions by : Sihem Mesnager
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.
Author |
: Natalia Tokareva |
Publisher |
: Academic Press |
Total Pages |
: 221 |
Release |
: 2015-08-24 |
ISBN-10 |
: 9780128025550 |
ISBN-13 |
: 0128025557 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Bent Functions by : Natalia Tokareva
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
Author |
: OLEG A. LOGACHEV |
Publisher |
: |
Total Pages |
: 352 |
Release |
: 2012 |
ISBN-10 |
: 1470416263 |
ISBN-13 |
: 9781470416263 |
Rating |
: 4/5 (63 Downloads) |
Synopsis Boolean Functions in Coding Theory and Cryptography by : OLEG A. LOGACHEV
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.
Author |
: Chuan-Kun Wu |
Publisher |
: Springer |
Total Pages |
: 267 |
Release |
: 2016-02-23 |
ISBN-10 |
: 9783662488652 |
ISBN-13 |
: 3662488655 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Boolean Functions and Their Applications in Cryptography by : Chuan-Kun Wu
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.