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Bent Functions

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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.

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.

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.

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.

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.

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.

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.

Fundamentals of Computer Security

Fundamentals of Computer Security Book
Author : Josef Pieprzyk,Thomas Hardjono,Jennifer Seberry
Publisher : Springer Science & Business Media
Release : 2003-01-21
ISBN : 9783540431015
Language : En, Es, Fr & De

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Book Description :

This reference work looks at modern concepts of computer security. It introduces the basic mathematical background necessary to follow computer security concepts before moving on to modern developments in cryptography. The concepts are presented clearly and illustrated by numerous examples. Subjects covered include: private-key and public-key encryption, hashing, digital signatures, authentication, secret sharing, group-oriented cryptography, and many others. The section on intrusion detection and access control provide examples of security systems implemented as a part of operating system. Database and network security is also discussed. The final chapters introduce modern e- business systems based on digital cash.

Information Security and Cryptology

Information Security and Cryptology Book
Author : Kefei Chen,Dongdai Lin,Moti Yung
Publisher : Springer
Release : 2017-03-02
ISBN : 3319547054
Language : En, Es, Fr & De

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Book Description :

This book constitutes the thoroughly refereed post-conference proceedings of the 12th International Conference on Information Security and Cryptology, Inscrypt 2016, held in Beijing, China, in November 2016. The 32 revised full papers presented were carefully reviewed and selected from 93 submissions. The papers are organized in topical sections on symmetric ciphers; public-key cryptosystems; signature and authentication; homomorphic encryption; leakage-resilient; post-quantum cryptography; commitment and protocol; elliptic curves; security and implementation.

Codes From Difference Sets

Codes From Difference Sets Book
Author : Ding Cunsheng
Publisher : World Scientific
Release : 2014-08-08
ISBN : 981461937X
Language : En, Es, Fr & De

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Book Description :

This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.

Fast Software Encryption

Fast Software Encryption Book
Author : Fse'9 1999
Publisher : Springer Science & Business Media
Release : 1999-06-29
ISBN : 354066226X
Language : En, Es, Fr & De

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Book Description :

This book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on Fast Software Encryption, FSE'99, held in Rome, Italy, in March 1999. The 22 revised full papers presented were carefully selected from a total of 51 submissions during two rounds of reviewing and revision. The volume is divided into sections on advanced encryption standard (AES), remotely keyed encryptions, analysis of block ciphers, miscellaneous, modes of operation, and stream ciphers.

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.

Artificial Neural Networks and Machine Learning ICANN 2017

Artificial Neural Networks and Machine Learning     ICANN 2017 Book
Author : Alessandra Lintas,Stefano Rovetta,Paul F.M.J. Verschure,Alessandro E.P. Villa
Publisher : Springer
Release : 2017-10-20
ISBN : 3319686003
Language : En, Es, Fr & De

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Book Description :

The two volume set, LNCS 10613 and 10614, constitutes the proceedings of then 26th International Conference on Artificial Neural Networks, ICANN 2017, held in Alghero, Italy, in September 2017. The 128 full papers included in this volume were carefully reviewed and selected from 270 submissions. They were organized in topical sections named: From Perception to Action; From Neurons to Networks; Brain Imaging; Recurrent Neural Networks; Neuromorphic Hardware; Brain Topology and Dynamics; Neural Networks Meet Natural and Environmental Sciences; Convolutional Neural Networks; Games and Strategy; Representation and Classification; Clustering; Learning from Data Streams and Time Series; Image Processing and Medical Applications; Advances in Machine Learning. There are 63 short paper abstracts that are included in the back matter of the volume.

Information Security and Privacy

Information Security and Privacy Book
Author : N. S. W.) Acisp 9 (1997 Sydney,Vijav Varadharajan,Josef Pieprzyk,Yi Mu
Publisher : Springer Science & Business Media
Release : 1997-06-25
ISBN : 9783540632320
Language : En, Es, Fr & De

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Book Description :

This book constitutes the refereed proceedings of the Second Australasian Conference on Information Security and Privacy, ACISP'97, held in Sydney, NSW, Australia, in July 1997. The 20 revised full papers presented were carefully selected for inclusion in the proceedings. The book is divided into sections on security models and access control, network security, secure hardware and implementation issues, cryptographic functions and ciphers, authentication codes and secret sharing systems, cryptanalysis, key escrow, security protocols and key management, and applications.