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Bent Functions And Permutation Methods


Bent Functions And Permutation Methods
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Bent Functions And Permutation Methods


Bent Functions And Permutation Methods
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Author : Radomir S. Stanković
language : en
Publisher: Springer Nature
Release Date : 2024-02-20

Bent Functions And Permutation Methods written by Radomir S. Stanković and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-20 with Technology & Engineering categories.


This book discusses in a uniform way binary, ternary, and quaternary bent functions, while most of the existing books on bent functions refer to just binary bent functions. The authors describe the differences between binary and multiple-valued cases and the construction methods for bent functions are focused on the application of two types of permutation matrices. These matrices are derived from a class of differential operators on finite groups and Fast Fourier transform algorithms, respectively. The approach presented is based on the observation that given certain bent functions, many other bent functions can be constructed by manipulating them. Permutations are possible manipulations that are easy to implement. These permutations perform spectral invariant operations which ensure that they preserve bentness.



Bent Functions


Bent Functions
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Author : Sihem Mesnager
language : en
Publisher: Springer
Release Date : 2016-08-09

Bent Functions written by Sihem Mesnager and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-09 with Computers categories.


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.



Advanced Boolean Techniques


Advanced Boolean Techniques
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Author : Rolf Drechsler
language : en
Publisher: Springer Nature
Release Date : 2023-05-29

Advanced Boolean Techniques written by Rolf Drechsler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-29 with Technology & Engineering categories.


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.



Advances In Cryptology Asiacrypt 99


Advances In Cryptology Asiacrypt 99
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Author : Kwok Yan Lam
language : en
Publisher: Springer
Release Date : 2004-03-23

Advances In Cryptology Asiacrypt 99 written by Kwok Yan Lam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-23 with Computers categories.


Asiacrypt’99 was held in Singapore on 14-18 November 1999. Asiacrypt is one of the major events in the cryptology research community. Asiacrypt’99, the ?fth annual Asiacrypt conference, was sponsored by the Asiacrypt Steering Comm- tee and the Centre for Systems Security of the National University of Singapore, and in cooperation with the International Association for Cryptology Research. As the Program Co-Chairs of Asiacrypt’99, we are extremely honored to or- nize this event, which showcases the state-of-the-art development of cryptology research at the conclusion of this millennium. This year, a total of 96 research papers were submitted to Asiacrypt’99. The portfolio of country of origin of submissions serves as a good indicator of the - ternational reputation of the conference. Countries from which submissions or- inated include: Australia, Belgium, China, Estonia, France, Germany, Greece, India, Iran, Japan, Korea, Norway, Russia, Saudi Arabia, Switzerland, Sin- pore, Spain, Taiwan, Thailand, The Netherlands, Turkey, Ukraine, UK, USA and Yugoslavia. Through a stringent refereeing process by the Program C- mittee, 31 papers of outstanding quality were accepted and are included in the conference proceedings. Accepted papers were authored by researchers from the following countries: Australia, Belgium, France, Germany, India, Japan, China, Singapore, Switzerland, Taiwan, The Netherlands, UK, and USA.



Boolean Functions In Cryptology And Information Security


Boolean Functions In Cryptology And Information Security
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Author : Bart Preneel
language : en
Publisher: IOS Press
Release Date : 2008

Boolean Functions In Cryptology And Information Security written by Bart Preneel and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.


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.



Advances In Cryptology Eurocrypt 91


Advances In Cryptology Eurocrypt 91
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Author : Donald W. Davies
language : en
Publisher: Springer
Release Date : 2003-06-30

Advances In Cryptology Eurocrypt 91 written by Donald W. Davies and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.


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.



Boolean Models And Methods In Mathematics Computer Science And Engineering


Boolean Models And Methods In Mathematics Computer Science And Engineering
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Author : Yves Crama
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-28

Boolean Models And Methods In Mathematics Computer Science And Engineering written by Yves Crama and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-28 with Computers categories.


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



Bfca 05


Bfca 05
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Author : Jean-Francis Michon
language : en
Publisher: Presses universitaires de Rouen et du Havre
Release Date : 2005

Bfca 05 written by Jean-Francis Michon and has been published by Presses universitaires de Rouen et du Havre this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Political Science categories.


Les recherches en cryptographie se sont développées en France ces dernières années du fait de la nécessité de développer la sécurité de tous les échanges informatiques. Toutes les industries ainsi que les administrations sont concernées par ce développement : la sécurité des échanges informatiques ainsi que l’e-administration sont des exemples dans lesquels peut intervenir la cryptographie. Et les fonctions booléennes, en particulier, jouent un rôle central dans le design de la plupart des crypto-systèmes symétriques et leur sécurité. L’ouvrage en anglais, fruit d’un colloque international tenu à Roeun, fait le point sur ces différents systèmes.



Finite Fields And Their Applications


Finite Fields And Their Applications
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Author : Pascale Charpin
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-28

Finite Fields And Their Applications written by Pascale Charpin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-28 with Mathematics categories.


This book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory.



Selected Areas In Cryptography Sac 2016


Selected Areas In Cryptography Sac 2016
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Author : Roberto Avanzi
language : en
Publisher: Springer
Release Date : 2017-10-18

Selected Areas In Cryptography Sac 2016 written by Roberto Avanzi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-18 with Computers categories.


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.