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Bent Functions

Bent Functions Book
Author : Natalia Tokareva
Publisher : Academic Press
Release : 2015-08-24
ISBN : 0128025557
Language : En, Es, Fr & De

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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

Bent Functions

Bent Functions Book
Author : Sihem Mesnager
Publisher : Springer
Release : 2016-08-09
ISBN : 3319325957
Language : En, Es, Fr & De

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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.

Boolean Functions in Cryptology and Information Security

Boolean Functions in Cryptology and Information Security Book
Author : B. Preneel,O.A. Logachev
Publisher : IOS Press
Release : 2008-07-16
ISBN : 1607503441
Language : En, Es, Fr & De

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Book Description :

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.

Discrete Geometry and Algebraic Combinatorics

Discrete Geometry and Algebraic Combinatorics Book
Author : Alexander Barg,Oleg R. Musin
Publisher : American Mathematical Society
Release : 2014-08-28
ISBN : 1470409054
Language : En, Es, Fr & De

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Book Description :

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.

Sequences Subsequences and Consequences

Sequences  Subsequences  and Consequences Book
Author : Solomon W. Golomb,Guang Gong,Tor Helleseth,Hong-Yeop Song
Publisher : Springer Science & Business Media
Release : 2007-12-13
ISBN : 3540774033
Language : En, Es, Fr & De

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Book Description :

This book constitutes the thoroughly refereed post-proceedings of the International Workshop of Sequences, Subsequences and Consequences, SSC 2007, held in Los Angeles, CA, USA, in May/June 2007. The 16 revised invited full papers and 1 revised contributed paper presented together with 3 keynote lectures were carefully reviewed and selected for presentation in the book. The theory of sequences from discrete symbol alphabets has found practical applications in many areas of coded communications and in cryptography, including: signal patterns for use in radar and sonar; spectral spreading sequences for CDMA wireless telephony; key streams for direct sequence stream-cipher cryptography; and a variety of forward-error-correcting codes. The workshop permits leading researchers on sequences from around the world to present their latest results and recent developments in this important field.

Discovery of Bent Functions Using the Fast Walsh Transform

Discovery of Bent Functions Using the Fast Walsh Transform Book
Author : Timothy R. O'Dowd
Publisher : Unknown
Release : 2010
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Linear cryptanalysis attacks are a threat against cryptosystems. These attacks can be defended against by using combiner functions composed of highly nonlinear Boolean functions. Bent functions, which have the highest possible nonlinearity, are uncommon. As the number of variables in a Boolean function increases, bent functions become extremely rare. A method of computing the nonlinearity of Boolean functions using the Fast Walsh Transform (FWT) is presented. The SRC-6 reconfigurable computer allows testing of functions at a much faster rate than a PC. With a clock frequency of 100 MHz, throughput of the SRC-6 is 100,000,000 functions per second. An implementation of the FWT used to compute the nonlinearity of Boolean functions with up to five variables is presented. Since there are 22n Boolean functions of n variables, computation of the nonlinearity of every Boolean function with six or more variables takes thousands of years to complete. This makes discovery of bent functions difficult for large n. An algorithm is presented that uses information in the FWT of a function to produce similar functions with increasingly higher nonlinearity. This algorithm demonstrated the ability to enumerate every bent function for n = 4 without the necessity of exhaustively testing all fourvariable functions.

Lecture Notes in Real Time Intelligent Systems

Lecture Notes in Real Time Intelligent Systems Book
Author : Jolanta Mizera-Pietraszko,Pit Pichappan
Publisher : Springer
Release : 2017-08-07
ISBN : 3319607448
Language : En, Es, Fr & De

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Book Description :

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.

Applied Algebra Algebraic Algorithms and Error Correcting Codes

Applied Algebra  Algebraic Algorithms and Error Correcting Codes Book
Author : Serdar Boztas,Hsiao-feng Lu
Publisher : Springer
Release : 2007-11-29
ISBN : 3540772243
Language : En, Es, Fr & De

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Book Description :

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.

Combinatorics and Finite Fields

Combinatorics and Finite Fields Book
Author : Kai-Uwe Schmidt,Arne Winterhof
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2019-07-08
ISBN : 3110641968
Language : En, Es, Fr & De

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Book Description :

Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.

Surveys in Combinatorics 2013

Surveys in Combinatorics 2013 Book
Author : Simon R. Blackburn,Stefanie Gerke,Mark Wildon
Publisher : Cambridge University Press
Release : 2013-06-27
ISBN : 1107651956
Language : En, Es, Fr & De

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Book Description :

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

Applied Algebra and Number Theory

Applied Algebra and Number Theory Book
Author : Gerhard Larcher,Friedrich Pillichshammer,Arne Winterhof,Chaoping Xing
Publisher : Cambridge University Press
Release : 2014-12-11
ISBN : 1316123820
Language : En, Es, Fr & De

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Book Description :

Harald Niederreiter's pioneering research in the field of applied algebra and number theory has led to important and substantial breakthroughs in many areas. This collection of survey articles has been authored by close colleagues and leading experts to mark the occasion of his 70th birthday. The book provides a modern overview of different research areas, covering uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation. Many results are published here for the first time. The book serves as a useful starting point for graduate students new to these areas or as a refresher for researchers wanting to follow recent trends.

Finite Fields

Finite Fields Book
Author : Gary McGuire
Publisher : American Mathematical Soc.
Release : 2010
ISBN : 0821847864
Language : En, Es, Fr & De

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Book Description :

This volume contains the proceedings of the Ninth International Conference on Finite Fields and Applications, held in Ireland, July 13-17, 2009. It includes survey papers by all invited speakers as well as selected contributed papers. Finite fields continue to grow in mathematical importance due to applications in many diverse areas. This volume contains a variety of results advancing the theory of finite fields and connections with, as well as impact on, various directions in number theory, algebra, and algebraic geometry. Areas of application include algebric coding theory, cryptology, and combinatorial design theory.

Advances in Cryptology EUROCRYPT 90

Advances in Cryptology     EUROCRYPT  90 Book
Author : Ivan B. Damgard
Publisher : Springer
Release : 2003-06-30
ISBN : 3540468773
Language : En, Es, Fr & De

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Book Description :

Eurocrypt is a conference devoted to all aspects of cryptologic research, both theoretical and practical, sponsored by the International Association for Cryptologic Research (IACR). Eurocrypt 90 took place in Åarhus, Denmark, in May 1990. From the 85 papers submitted, 42 were selected for presentation at the conference and for inclusion in this volume. In addition to the formal contributions, short abstracts of a number of informal talks are included in these proceedings. The proceedings are organized into sessions on protocols, number-theoretic algorithms, boolean functions, binary sequences, implementations, combinatorial schemes, cryptanalysis, new cryptosystems, signatures and authentication, and impromptu talks.

CONSTRUCTIONS OF BENT FUNCTIONS

CONSTRUCTIONS OF BENT FUNCTIONS  Book
Author : Anonim
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In cryptography especially in block cipher design, Boolean functions are the basic elements. A cryptographic function should have high nonlinearity as it can be attacked by linear attack. In this thesis the highest possible nonlinear boolean functions in the even dimension, that is bent functions, basic properties and construction methods of bent functions are studied. Also normal bent functions and generalized bent functions are presented.

Selected Areas in Cryptography

Selected Areas in Cryptography Book
Author : Serge Vaudenay,Amr M. Youssef
Publisher : Springer
Release : 2003-06-30
ISBN : 354045537X
Language : En, Es, Fr & De

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Book Description :

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

Hadamard Matrices and Their Applications Book
Author : K. J. Horadam
Publisher : Princeton University Press
Release : 2007
ISBN : 069111921X
Language : En, Es, Fr & De

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Book Description :

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

Probabilistic Methods in Discrete Mathematics Book
Author : Anonim
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2020-05-28
ISBN : 3112314107
Language : En, Es, Fr & De

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Book Description :

Download Probabilistic Methods in Discrete Mathematics book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Information and Communication Security

Information and Communication Security Book
Author : Vijay Varadharajan,Yi Mu
Publisher : Springer
Release : 2004-06-01
ISBN : 3540479422
Language : En, Es, Fr & De

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Book Description :

ICICS’99, the Second International Conference on Information and C- munication Security, was held in Sydney, Australia, 9-11 November 1999. The conference was sponsored by the Distributed System and Network Security - search Unit, University of Western Sydney, Nepean, the Australian Computer Society, IEEE Computer Chapter (NSW), and Harvey World Travel. I am g- teful to all these organizations for their support of the conference. The conference brought together researchers, designers, implementors and users of information security systems and technologies. A range of aspects was addressed from security theory and modeling to system and protocol designs and implementations to applications and management. The conference con- sted of a series of refereed technical papers and invited technical presentations. The program committee invited two distinguished key note speakers. The ?rst keynote speech by Doug McGowan, a Senior Manager from Hewlett-Packard, USA, discussed cryptography in an international setting. Doug described the current status of international cryptography and explored possible future trends and new technologies. The second keynote speech was delivered by Sushil Ja- dia of George Mason University, USA. Sushil’s talk addressed the protection of critical information systems. He discussed issues and methods for survivability of systems under malicious attacks and proposed a fault-tolerance based - proach. The conference also hosted a panel on the currently much debated topic of Internet censorship. The panel addressed the issue of censorship from various viewpoints namely legal, industrial, governmental and technical.

Progress in Cryptology INDOCRYPT 2002

Progress in Cryptology   INDOCRYPT 2002 Book
Author : Alfred Menezes,International Conference in Cryptology in India (3rd : 2002 : Hyderabad, India)
Publisher : Springer Science & Business Media
Release : 2002-12-02
ISBN : 3540002634
Language : En, Es, Fr & De

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Book Description :

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

The Stability Theory of Stream Ciphers Book
Author : Cunsheng Ding,Guozhen Xiao,Weijuan Shan
Publisher : Springer Science & Business Media
Release : 1991-12-04
ISBN : 9783540549734
Language : En, Es, Fr & De

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Book Description :

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.