Codes, Designs, Cryptography and Optimization

Codes, Designs, Cryptography and Optimization
Author: Raúl M Falcón
Publisher: Mdpi AG
Total Pages: 0
Release: 2022-07
Genre:
ISBN: 9783036543550

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Novel synergies are continuously being developed among the research areas in coding theory, cryptography, combinatorial design, and combinatorial optimization. They give rise to new applications to other fields and to the real world, including algebraic geometry, artificial intelligence, communication networks, computer science, hardware and software design, design of experiments, logistics, machine learning, and scheduling or transportation networks, among others. With contributions of researchers of six different universities from five countries, this book consists of a compilation of some relevant and recent investigations concerning this area. It covers a vast range of topics, such as Hadamard matrices, quasigroups, Latin squares, secret sharing schemes, binary linear codes, hierarchical posets, computational algebra systems, lightweight cryptography, low-end embedded processors, block ciphers, and text compression.

Combinatorial Designs

Combinatorial Designs
Author: Christos Koukouvinos
Publisher:
Total Pages: 500
Release: 2014-09-15
Genre: Mathematics
ISBN: 9783110294088

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Coding Theory and Cryptography

Coding Theory and Cryptography
Author: D.C. Hankerson
Publisher: CRC Press
Total Pages: 370
Release: 2000-08-04
Genre: Computers
ISBN: 0824704657

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Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offering revised and updated material on the Berlekamp-Massey decoding algorithm and convolutional codes. Introducing the mathematics as it is needed and providing exercises with solutions, this edition includes an extensive section on cryptography, designed for an introductory course on the subject.

Graphs, Algorithms, and Optimization

Graphs, Algorithms, and Optimization
Author: William Kocay
Publisher: CRC Press
Total Pages: 566
Release: 2016-11-03
Genre: Mathematics
ISBN: 1482251183

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The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs.

Combinatorial Designs for Authentication and Secrecy Codes

Combinatorial Designs for Authentication and Secrecy Codes
Author: Michael Huber
Publisher: Now Publishers Inc
Total Pages: 107
Release: 2010
Genre: Computers
ISBN: 1601983581

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Combinatorial Designs for Authentication and Secrecy Codes is a succinct in-depth review and tutorial of a subject that promises to lead to major advances in computer and communication security. This monograph provides a tutorial on combinatorial designs, which gives an overview of the theory. Furthermore, the application of combinatorial designs to authentication and secrecy codes is described in depth. This close relationship of designs with cryptography and information security was first revealed in Shannon's seminal paper on secrecy systems. We bring together in one source foundational and current contributions concerning design-theoretic constructions and characterizations of authentication and secrecy codes.

Coding, Cryptography and Combinatorics

Coding, Cryptography and Combinatorics
Author: Keqin Feng
Publisher: Birkhäuser
Total Pages: 403
Release: 2012-12-06
Genre: Computers
ISBN: 3034878656

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It has long been recognized that there are fascinating connections between cod ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care ful scrutiny, 28 papers were accepted for publication.

Advances In Coding Theory And Cryptography

Advances In Coding Theory And Cryptography
Author: Tanush Shaska
Publisher: World Scientific
Total Pages: 267
Release: 2007-07-05
Genre: Mathematics
ISBN: 9814475351

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In the new era of technology and advanced communications, coding theory and cryptography play a particularly significant role with a huge amount of research being done in both areas. This book presents some of that research, authored by prominent experts in the field.The book contains articles from a variety of topics most of which are from coding theory. Such topics include codes over order domains, Groebner representation of linear codes, Griesmer codes, optical orthogonal codes, lattices and theta functions related to codes, Goppa codes and Tschirnhausen modules, s-extremal codes, automorphisms of codes, etc. There are also papers in cryptography which include articles on extremal graph theory and its applications in cryptography, fast arithmetic on hyperelliptic curves via continued fraction expansions, etc. Researchers working in coding theory and cryptography will find this book an excellent source of information on recent research.

Coding Theory and Cryptology

Coding Theory and Cryptology
Author: Harald Niederreiter
Publisher: World Scientific
Total Pages: 464
Release: 2002
Genre: Mathematics
ISBN: 9789812384508

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The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security.

Coding Theory, Cryptography and Related Areas

Coding Theory, Cryptography and Related Areas
Author: Johannes Buchmann
Publisher: Springer Science & Business Media
Total Pages: 269
Release: 2012-12-06
Genre: Computers
ISBN: 3642571891

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A series of research papers on various aspects of coding theory, cryptography, and other areas, including new and unpublished results on the subjects. The book will be useful to students, researchers, professionals, and tutors interested in this area of research.