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Author: Radomir S. Stanković
Publisher: Springer Nature
ISBN: 3031506502
Category :
Languages : en
Pages : 287
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Book Description
Author: Radomir S. Stanković
Publisher: Springer Nature
ISBN: 3031506502
Category :
Languages : en
Pages : 287
Get Book Here
Book Description
Author: Sihem Mesnager
Publisher: Springer
ISBN: 3319325957
Category : Computers
Languages : en
Pages : 561
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Book Description
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
ISBN: 0128025557
Category : Computers
Languages : en
Pages : 221
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Book Description
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: Claude Carlet
Publisher: Cambridge University Press
ISBN: 1108634664
Category : Computers
Languages : en
Pages : 577
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Book Description
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: Lilya Budaghyan
Publisher: Springer
ISBN: 3319129910
Category : Computers
Languages : en
Pages : 172
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Book Description
This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions. These functions have optimal resistance to linear and/or differential attacks, which are the two most powerful attacks on symmetric cryptosystems. Besides cryptographic applications, these functions are significant in many branches of mathematics and information theory including coding theory, combinatorics, commutative algebra, finite geometry, sequence design and quantum information theory. The author analyzes equivalence relations for these functions and develops several new methods for construction of their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.
Author: Ferruh Özbudak
Publisher: Springer
ISBN: 364231662X
Category : Computers
Languages : en
Pages : 257
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Book Description
This book constitutes the refereed proceedings of the 4th International Workshop on the Arithmetic of Finite Field, WAIFI 2012, held in Bochum, Germany, in July 2012. The 13 revised full papers and 4 invited talks presented were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on coding theory and code-based cryptography, Boolean functions, finite field arithmetic, equations and functions, and polynomial factorization and permutation polynomial.
Author: Yves Crama
Publisher: Cambridge University Press
ISBN: 0521847524
Category : Computers
Languages : en
Pages : 781
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Book Description
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.
Author: Rolf Drechsler
Publisher: Springer Nature
ISBN: 3031289161
Category : Technology & Engineering
Languages : en
Pages : 174
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Book Description
This book describes recent findings in the domain of Boolean logic and Boolean algebra, covering application domains in circuit and system design, but also basic research in mathematics and theoretical computer science. Content includes invited chapters and a selection of the best papers presented at the 15th annual International Workshop on Boolean Problems.
Author: Roberto Avanzi
Publisher: Springer
ISBN: 3319694537
Category : Computers
Languages : en
Pages : 582
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Book Description
This book contains revised selected papers from the 23rd International Conference on Selected Areas in Cryptography, SAC 2016, held in St. John's, NL, Canada in August 2016. The 28 full papers and 2 invited papers presented in this volume were carefully reviewed and selected from 100 submissions. They are organized in the following topical sections: side channels and fault attacks; design and implementation of symmetric cryptography; efficient symmetric primitives; cryptanalysis of symmetric primitives; MACs and PRNGs; lattice-based cryptography; and cryptanalysis of asymmetric primitives.
Author: Donald W. Davies
Publisher: Springer
ISBN: 3540464166
Category : Computers
Languages : en
Pages : 567
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Book Description
A series of open workshops devoted to modem cryptology began in Santa Barbara, California in 1981 and was followed in 1982 by a European counterpart in Burg Feurstein, Germany. The series has been maintained with summer meetings in Santa Barbara and spring meetings somewhere in Europe. At the 1983 meeting in Santa Barbara the International Association for Cryptologic Research was launched and it now sponsors all the meetings of the series. Following the tradition of the series, papers were invited in the form of extended abstracts and were reviewed by the programme committee, which selected those to be presented. After the meeting, full papers were produced, in some cases with impro- ments and corrections. These papers form the main part of the present volume. They are placed in the same order that they took at the meeting and under the same headings, for ease of reference by those who attended. The classification under these headings was a little arbitary, needing to fit the timing of the day‘s activities, but it makes a workable method of arrangement. Also following tradition, a “rump session’’ was held during one evening, under the effective chairmanship of John Gordon. These were short presentations and those present found them to have some real interest, therefore we have taken the unusual step of including short papers contributed by the rump session speakers at the end of this volume, with a necessarily simplified review process.
