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Bent Functions

Bent Functions
Fundamentals and Results

by Sihem Mesnager

  • Publisher : Springer
  • Release : 2016-08-09
  • Pages : 544
  • ISBN : 3319325957
  • Language : En, Es, Fr & De
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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.

Bent Functions

Bent Functions
Results and Applications to Cryptography

by Natalia Tokareva

  • Publisher : Academic Press
  • Release : 2015-08-24
  • Pages : 220
  • ISBN : 0128025557
  • Language : En, Es, Fr & De
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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

Cryptographic Boolean Functions and Applications

Cryptographic Boolean Functions and Applications
A Book

by Thomas W. Cusick,Pantelimon Stanica

  • Publisher : Academic Press
  • Release : 2009-03-04
  • Pages : 248
  • ISBN : 9780080952222
  • Language : En, Es, Fr & De
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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

Boolean Functions in Cryptology and Information Security

Boolean Functions in Cryptology and Information Security
A Book

by Bart Preneel,Oleg A. Logachev

  • Publisher : IOS Press
  • Release : 2008-01-01
  • Pages : 355
  • ISBN : 1586038788
  • Language : En, Es, Fr & De
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This book contains the proceedings of the NATO-Russia Advanced Study Institute (ASI) 'Boolean Functions in Cryptology and Information Security', which was held in Zvenigorod, Moscow region, Russia. These proceedings consist of three parts. The first part contains survey lectures on various areas of Boolean function theory that are of primary importance for cryptology. These lectures were delivered by leading researchers from many countries and contain both classic and recent results. The second part contains research papers written by graduate and postgraduate students of Lomonosov University, Moscow.The third part contains a list of open problems in Boolean function theory. The book includes lectures and papers concern the following areas: cryptographic properties of Boolean functions and mappings; algebraic and combinatorial constructions of Boolean functions and mappings with prescribed cryptographic properties; Boolean functions and mappings in cryptosynthesis; classification of Boolean functions; cryptanalysis of ciphers; and, efficient computations in finite fields.

Construction and Analysis of Cryptographic Functions

Construction and Analysis of Cryptographic Functions
A Book

by Lilya Budaghyan

  • Publisher : Springer
  • Release : 2015-01-06
  • Pages : 168
  • ISBN : 3319129910
  • Language : En, Es, Fr & De
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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.

2004 IEEE International Symposium on Information Theory : Proceedings : Chicago Downtown Marriott, Chicago, Illinois, USA, June 27-July 2, 2004

2004 IEEE International Symposium on Information Theory : Proceedings : Chicago Downtown Marriott, Chicago, Illinois, USA, June 27-July 2, 2004
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 573
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Fast Software Encryption

Fast Software Encryption
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1997
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Vols. for 1993 consists of proceedings of the Cambridge Security Workshop; 1994: proceedings of the 2nd international workshop held in Leuven, Belgium; 1996- : proceedings of the 3rd- international workshop.

2002 IEEE International Symposium on Information Theory

2002 IEEE International Symposium on Information Theory
Proceedings : Palais de Beaulieu, Lausanne, Switzerland, June 30-July, 2002, 2002

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 507
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Advances in Cryptology

Advances in Cryptology
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1999
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Advances in Cryptology--ASIACRYPT.

Advances in Cryptology--ASIACRYPT.
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2000
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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IEEE International Symposium on Information Theory

IEEE International Symposium on Information Theory
A Book

by IEEE, Information Theory Society Staff

  • Publisher : Unknown Publisher
  • Release : 1997-06
  • Pages : 580
  • ISBN : 9780780339576
  • Language : En, Es, Fr & De
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IEEE International Symposium on Information Theory

IEEE International Symposium on Information Theory
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1995
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Advances in Cryptology - AUSCRYPT '92

Advances in Cryptology - AUSCRYPT '92
Workshop on the Theory and Application of Cryptographic Techniques, Gold Coast, Queensland, Australia, December 13-16, 1992. Proceedings

by Jennifer Seberry,Yuliang Zheng

  • Publisher : Springer
  • Release : 1993-09-29
  • Pages : 444
  • ISBN : 9783540572206
  • Language : En, Es, Fr & De
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This book contains the proceedings of AUSCRYPT '92, an international conference on cryptologic research held on the Gold Coast, Australia, in December 1992. This is the third conference held outside the series of CRYPTO meetings held in Santa Barbara, California, each August and EUROCRYPT meetings held in European countries each northern spring. The first two were AUSCRYPT '90, held in Australia, and ASIACRYPT '91, held in Japan. The volume contains three invited papers and 44 contributed papers selected from 77 submissions. The articles cover all main topics in modern computer and communications security research.These include: - authentication - secret sharing - digital signatures - one-way hashing functions - design of block ciphers - cryptanalysis - cryptographic protocols - pseudo-random sequences and functions - public key cryptography.

1998 IEEE International Symposium on Information Theory

1998 IEEE International Symposium on Information Theory
Proceedings : MIT, Cambridge, MA, USA, 16-21 August, 1998

by IEEE Information Theory Society

  • Publisher : Institute of Electrical & Electronics Engineers(IEEE)
  • Release : 1998
  • Pages : 484
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Bulletin of the Institute of Combinatorics and Its Applications

Bulletin of the Institute of Combinatorics and Its Applications
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2001
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Chinese Journal of Electronics

Chinese Journal of Electronics
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2008
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Information Security and Cryptology

Information Security and Cryptology
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2001
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Pure Mathematics and Applications

Pure Mathematics and Applications
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1999
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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1996 IEEE 4th International Symposium on Spread Spectrum Techniques and Applications

1996 IEEE 4th International Symposium on Spread Spectrum Techniques and Applications
Technical Program, Proceedings, September 22-25, 1996, Electoral Palace, Mainz, Germany

by Anonim

  • Publisher : Institute of Electrical & Electronics Engineers(IEEE)
  • Release : 1996
  • Pages : 1370
  • ISBN : 9780780335684
  • Language : En, Es, Fr & De
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JCMCC

JCMCC
The Journal of Combinatorial Mathematics and Combinatorial Computing

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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