Bent Functions

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Bent Functions

Sihem Mesnager
Bent Functions Book PDF

Author : Sihem Mesnager
Publisher : Springer
Page : 544 pages
File Size : 41,9 Mb
Release : 2016-08-09
Category : Computers
ISBN : 9783319325958

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Bent Functions by Sihem Mesnager Pdf

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

Natalia Tokareva
Bent Functions Book PDF

Author : Natalia Tokareva
Publisher : Academic Press
Page : 220 pages
File Size : 41,5 Mb
Release : 2015-08-24
Category : Mathematics
ISBN : 9780128025550

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Bent Functions by Natalia Tokareva Pdf

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

Boolean Functions in Cryptology and Information Security

B. Preneel,O.A. Logachev
Boolean Functions in Cryptology and Information Security Book PDF

Author : B. Preneel,O.A. Logachev
Publisher : IOS Press
Page : 364 pages
File Size : 54,9 Mb
Release : 2008-07-16
Category : Computers
ISBN : 9781607503446

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Boolean Functions in Cryptology and Information Security by B. Preneel,O.A. Logachev Pdf

This book contains the proceedings of the NATO-Russia Advanced Study Institute (ASI) 'Boolean Functions in Cryptology and Information Security', which was held at September 8-18, 2007 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; Efficient computations in finite fields.

Discrete Geometry and Algebraic Combinatorics

Alexander Barg,Oleg R. Musin
Discrete Geometry and Algebraic Combinatorics Book PDF

Author : Alexander Barg,Oleg R. Musin
Publisher : American Mathematical Society
Page : 190 pages
File Size : 46,6 Mb
Release : 2014-08-28
Category : Mathematics
ISBN : 9781470409050

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Discrete Geometry and Algebraic Combinatorics by Alexander Barg,Oleg R. Musin Pdf

This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Serdar Boztas,Hsiao-feng Lu
Applied Algebra Algebraic Algorithms and Error Correcting Codes Book PDF

Author : Serdar Boztas,Hsiao-feng Lu
Publisher : Springer
Page : 368 pages
File Size : 47,7 Mb
Release : 2007-11-29
Category : Computers
ISBN : 9783540772248

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes by Serdar Boztas,Hsiao-feng Lu Pdf

This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra.

Lecture Notes in Real-Time Intelligent Systems

Jolanta Mizera-Pietraszko,Pit Pichappan
Lecture Notes in Real Time Intelligent Systems Book PDF

Author : Jolanta Mizera-Pietraszko,Pit Pichappan
Publisher : Springer
Page : 508 pages
File Size : 42,9 Mb
Release : 2017-08-07
Category : Technology & Engineering
ISBN : 9783319607443

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Lecture Notes in Real-Time Intelligent Systems by Jolanta Mizera-Pietraszko,Pit Pichappan Pdf

Intelligent computing refers greatly to artificial intelligence with the aim at making computer to act as a human. This newly developed area of real-time intelligent computing integrates the aspect of dynamic environments with the human intelligence. This book presents a comprehensive practical and easy to read account which describes current state-of-the art in designing and implementing real-time intelligent computing to robotics, alert systems, IoT, remote access control, multi-agent systems, networking, mobile smart systems, crowd sourcing, broadband systems, cloud computing, streaming data and many other applications areas. The solutions discussed in this book will encourage the researchers and IT professional to put the methods into their practice.

Combinatorics and Finite Fields

Kai-Uwe Schmidt,Arne Winterhof
Combinatorics and Finite Fields Book PDF

Author : Kai-Uwe Schmidt,Arne Winterhof
Publisher : Walter de Gruyter GmbH & Co KG
Page : 506 pages
File Size : 49,7 Mb
Release : 2019-07-08
Category : Mathematics
ISBN : 9783110641967

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Combinatorics and Finite Fields by Kai-Uwe Schmidt,Arne Winterhof Pdf

The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing EditorUlrich Langer, Johannes Kepler University Linz, Austria Editorial BoardHansj rg Albrecher, University of Lausanne, SwitzerlandRonald H. W. Hoppe, University of Houston, USAKarl Kunisch, RICAM, Linz, Austria; University of Graz, AustriaHarald Niederreiter, RICAM, Linz, AustriaChristian Schmeiser, University of Vienna, Austria

Surveys in Combinatorics 2013

Simon R. Blackburn,Stefanie Gerke,Mark J. Wildon
Surveys in Combinatorics 2013 Book PDF

Author : Simon R. Blackburn,Stefanie Gerke,Mark J. Wildon
Publisher : Cambridge University Press
Page : 387 pages
File Size : 47,5 Mb
Release : 2013
Category : Combinatorial analysis
ISBN : 9781107651951

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Surveys in Combinatorics 2013 by Simon R. Blackburn,Stefanie Gerke,Mark J. Wildon Pdf

Surveys of recent important developments in combinatorics covering a wide range of areas in the field.

Arithmetic of Finite Fields

Sihem Mesnager,Zhengchun Zhou
Arithmetic of Finite Fields Book PDF

Author : Sihem Mesnager,Zhengchun Zhou
Publisher : Springer Nature
Page : 353 pages
File Size : 54,7 Mb
Release : 2023-01-10
Category : Computers
ISBN : 9783031229442

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Arithmetic of Finite Fields by Sihem Mesnager,Zhengchun Zhou Pdf

This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.

Cryptographic Boolean Functions and Applications

Thomas W. Cusick,Pantelimon Stanica
Cryptographic Boolean Functions and Applications Book PDF

Author : Thomas W. Cusick,Pantelimon Stanica
Publisher : Academic Press
Page : 288 pages
File Size : 40,7 Mb
Release : 2017-03-31
Category : Mathematics
ISBN : 9780128111307

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Cryptographic Boolean Functions and Applications by Thomas W. Cusick,Pantelimon Stanica Pdf

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

Selected Areas in Cryptography

Serge Vaudenay,Amr M. Youssef
Selected Areas in Cryptography Book PDF

Author : Serge Vaudenay,Amr M. Youssef
Publisher : Springer
Page : 364 pages
File Size : 47,5 Mb
Release : 2003-06-30
Category : Computers
ISBN : 9783540455370

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Selected Areas in Cryptography by Serge Vaudenay,Amr M. Youssef Pdf

This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop on Selected Areas in Cryptology, SAC 2001, held in Toronto, Ontario, Canada in August 2001. The 25 revised full papers presented together with the abstracts of two invited talks were carefully reviewed and selected during two rounds of refereeing and revision. The papers are organized in topical sections on cryptanalysis, Boolean functions, Rijndael, elliptic curves and efficient implementation, public key systems, and protocols and MAC.

Hadamard Matrices and Their Applications

K. J. Horadam
Hadamard Matrices and Their Applications Book PDF

Author : K. J. Horadam
Publisher : Princeton University Press
Page : 277 pages
File Size : 50,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780691119212

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Hadamard Matrices and Their Applications by K. J. Horadam Pdf

In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.

Probabilistic Methods in Discrete Mathematics

V. F. Kolchin,V. Ya Kozlov,V. V. Mazalov,Yu. L. Pavlov,Yu. V. Prokhorov
Probabilistic Methods in Discrete Mathematics Book PDF

Author : V. F. Kolchin,V. Ya Kozlov,V. V. Mazalov,Yu. L. Pavlov,Yu. V. Prokhorov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 400 pages
File Size : 47,8 Mb
Release : 2020-05-18
Category : Mathematics
ISBN : 9783112314104

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Probabilistic Methods in Discrete Mathematics by V. F. Kolchin,V. Ya Kozlov,V. V. Mazalov,Yu. L. Pavlov,Yu. V. Prokhorov Pdf

No detailed description available for "Probabilistic Methods in Discrete Mathematics".

Progress in Cryptology - INDOCRYPT 2002

Alfred Menezes
Progress in Cryptology INDOCRYPT 2002 Book PDF

Author : Alfred Menezes
Publisher : Springer Science & Business Media
Page : 449 pages
File Size : 51,5 Mb
Release : 2002-12-02
Category : Business & Economics
ISBN : 9783540002635

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Progress in Cryptology - INDOCRYPT 2002 by Alfred Menezes Pdf

This book constitutes the refereed proceedings of the Third International Conference on Cryptology in India, INDOCRYPT 2002, held in Hyderabad, India in December 2002. The 31 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 75 submissions. The papers are organized in topical sections on symmetric cyphers, new public-key schemes, foundations, public-key infrastructures, fingerprinting and watermarking, public-key protocols, Boolean functions, efficient and secure implementations, applications, anonymity, and secret sharing and oblivious transfer.

The Stability Theory of Stream Ciphers

Cunsheng Ding,Guozhen Xiao,Weijuan Shan
The Stability Theory of Stream Ciphers Book PDF

Author : Cunsheng Ding,Guozhen Xiao,Weijuan Shan
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 54,9 Mb
Release : 1991-12-04
Category : Business & Economics
ISBN : 3540549730

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The Stability Theory of Stream Ciphers by Cunsheng Ding,Guozhen Xiao,Weijuan Shan Pdf

Secure message transmission is of extreme importance in today's information-based society. Stream encryption is a practically important means to this end. This monograph is devoted to a new aspect of stream ciphers, namely the stability theory of stream ciphers, with the purpose of developing bounds on complexity which can form part of the basis for a general theory of data security and of stabilizing stream-cipher systems. The approach adopted in this monograph is new. The topic is treated by introducing measure indexes on the security of stream ciphers, developing lower bounds on these indexes, and establishing connections among them. The treatment involves the stability of boolean functions, the stability of linear complexity of key streams, the period stability of key streams, and the stability of source codes. Misleading ideas about stream ciphers are exposed and new viewpoints presented. The numerous measure indexes and bounds on them that are introduced here, the approach based on spectrum techniques, andthe ten open problems presented will all be useful to the reader concerned with analyzing and designing stream ciphers for securing data.