Advances In Coding Theory And Cryptography PDF Download

Author: Tanush Shaska
Publisher: World Scientific
ISBN: 9814475351
Category : Mathematics
Languages : en
Pages : 267

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Book Description
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.

Author: Tanush Shaska
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789812707017
Category : Computers
Languages : en
Pages : 256

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Book Description
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 first part of the book covers error-correcting codes, automorphism groups of codes, the key equation for codes from order domains, codes over rings, theta functions of certain codes, etc; the second part contains articles on cryptography — small dimensional varieties, Jacobians of curves, theta functions of hyperelliptic curves, elliptic curve cryptography, and so on.The list of well-known authors includes J Little, R Scheidler, A Stein, V Ustimenko, D Joyner, T Shaska, M J Jacobson, M E O'Sulivan, A Ksir, W Travis, M Borges-Quintana, M A Borges-Trenard, E Martinez-Moro, C Shor, I G Bouyukliev, T Ward, J L Kim, X D Hou, et al.

Author: Harald Niederreiter
Publisher: World Scientific
ISBN: 981448766X
Category : Mathematics
Languages : en
Pages : 460

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Book Description
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.

Author: Sudhakar Radhakrishnan
Publisher: BoD – Books on Demand
ISBN: 1839694092
Category : Computers
Languages : en
Pages : 142

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Book Description
This book explores the latest developments, methods, approaches, and applications of coding theory in a wide variety of fields and endeavors. It consists of seven chapters that address such topics as applications of coding theory in networking and cryptography, wireless sensor nodes in wireless body area networks, the construction of linear codes, and more.

Author: Harald Niederreiter
Publisher: Princeton University Press
ISBN: 140083130X
Category : Mathematics
Languages : en
Pages : 272

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Book Description
This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books

Author: David Joyner
Publisher: Springer Science & Business Media
ISBN: 3642596630
Category : Mathematics
Languages : en
Pages : 264

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Book Description
These are the proceedings of the Conference on Coding Theory, Cryptography, and Number Theory held at the U. S. Naval Academy during October 25-26, 1998. This book concerns elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory. Some of these papers are expository, whereas others are the result of original research. The emphasis is on geometric Goppa codes (Shokrollahi, Shokranian-Joyner), but there is also a paper on codes arising from combinatorial constructions (Michael). There are both, historical and mathematical papers on cryptography. Several of the contributions on cryptography describe the work done by the British and their allies during World War II to crack the German and Japanese ciphers (Hamer, Hilton, Tutte, Weierud, Urling). Some mathematical aspects of the Enigma rotor machine (Sherman) and more recent research on quantum cryptography (Lomonoco) are described. There are two papers concerned with the RSA cryptosystem and related number-theoretic issues (Wardlaw, Cosgrave).

Author: Isaac Woungang
Publisher: World Scientific
ISBN: 981446919X
Category : Computers
Languages : en
Pages : 725

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Book Description
The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.

Author: Keqin Feng
Publisher: Birkhäuser
ISBN: 3034878656
Category : Computers
Languages : en
Pages : 403

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Book Description
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.

Author: Øyvind Ytrehus
Publisher: Springer Science & Business Media
ISBN: 3540354816
Category : Computers
Languages : en
Pages : 452

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Coding and Cryptography, WCC 2005, held in Bergen, Norway, in March 2005. The 33 revised full papers were carefully reviewed and selected during two rounds of review. The papers address all aspects of coding theory, cryptography and related areas, theoretical or applied.

Author: Huaxiong Wang
Publisher: World Scientific
ISBN: 9814470597
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Over the past years, the rapid growth of the Internet and World Wide Web has provided great opportunities for online commercial activities, business transactions and government services over open computer and communication networks. However, such developments are only possible if communications can be conducted in a secure and reliable manner. The mathematical theory and practice of coding theory and cryptology underpin the provision of effective security and reliability for data communication, processing and storage. Theoretical and practical advances in these fields are therefore a key factor in facilitating the growth of data communications and data networks.The aim of the International Workshop on Coding and Cryptology 2007 was to bring together experts from coding theory, cryptology and their related areas for a fruitful exchange of ideas in order to stimulate further research and collaboration among mathematicians, computer scientists, practical cryptographers and engineers. This post-proceedings of the workshop consists of 20 selected papers on a wide range of topics in coding theory and cryptology, including theory, techniques, applications, and practical experiences. They cover significant advances in these areas and contain very useful surveys.