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Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,5 Mb
Release : 2024-06-12
Category : Electronic
ISBN : 9789814475358
Author : Tanush Shaska,W. C. Huffman,D. Joyner
Publisher : World Scientific Publishing Company Incorporated
Page : 256 pages
File Size : 50,6 Mb
Release : 2007
Category : Computers
ISBN : 9812707018
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 : David Joyner
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642596636
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 : Sudhakar Radhakrishnan,Sudev Naduvath
Publisher : BoD – Books on Demand
Page : 142 pages
File Size : 51,8 Mb
Release : 2022-05-25
Category : Computers
ISBN : 9781839694097
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,Chaoping Xing
Publisher : Princeton University Press
Page : 272 pages
File Size : 54,7 Mb
Release : 2009-09-21
Category : Mathematics
ISBN : 9781400831302
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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 46,8 Mb
Release : 2024-06-12
Category : Electronic
ISBN : 9789814470599
Author : Anonim
Publisher : World Scientific
Page : 288 pages
File Size : 49,7 Mb
Release : 2008
Category : Computers
ISBN : 9789812832245
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.
Author : Øyvind Ytrehus
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 52,8 Mb
Release : 2006-07-06
Category : Computers
ISBN : 9783540354819
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 : Everett W. Howe,Kristin E. Lauter,Judy L. Walker
Publisher : Springer
Page : 150 pages
File Size : 40,6 Mb
Release : 2017-11-15
Category : Mathematics
ISBN : 9783319639314
Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM). The conference gathered research communities across disciplines to share ideas and problems in their fields and formed small research groups made up of graduate students, postdoctoral researchers, junior faculty, and group leaders who designed and led the projects. Peer reviewed and revised, each of this volume's five papers achieves the conference’s goal of using algebraic geometry to address a problem in either coding theory or cryptography. Proposed variants of the McEliece cryptosystem based on different constructions of codes, constructions of locally recoverable codes from algebraic curves and surfaces, and algebraic approaches to the multicast network coding problem are only some of the topics covered in this volume. Researchers and graduate-level students interested in the interactions between algebraic geometry and both coding theory and cryptography will find this volume valuable.
Author : D.C. Hankerson,Gary Hoffman,D.A. Leonard,Charles C. Lindner,K.T. Phelps,C.A. Rodger,J.R. Wall
Publisher : CRC Press
Page : 370 pages
File Size : 41,7 Mb
Release : 2000-08-04
Category : Computers
ISBN : 9780824704650
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.
Author : Oleg A. Logachev,Alekse_ Aleksandrovich Sal_nikov,V. V. I_A_shchenko
Publisher : American Mathematical Soc.
Page : 352 pages
File Size : 53,6 Mb
Release : 2012-02-08
Category : Mathematics
ISBN : 9780821846803
This book offers a systematic presentation of cryptographic and code-theoretic aspects of the theory of Boolean functions. Both classical and recent results are thoroughly presented. Prerequisites for the book include basic knowledge of linear algebra, group theory, theory of finite fields, combinatorics, and probability. The book can be used by research mathematicians and graduate students interested in discrete mathematics, coding theory, and cryptography.
Author : Nigel Smart
Publisher : Springer
Page : 468 pages
File Size : 44,8 Mb
Release : 2005-11-04
Category : Computers
ISBN : 9783540324188
This book constitutes the refereed proceedings of the 10th IMA International Conference on Cryptography and Coding, held in Cirencester, UK, in December 2005. The 26 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 94 submissions. The papers are organized in topical sections on coding theory, signatures and signcryption, symmetric cryptography, side channels, algebraic cryptanalysis, information theoretic applications, number theoretic foundations, and public key and ID-based encryption schemes.
Author : W. Cary Huffman,Jon-Lark Kim,Patrick Solé
Publisher : CRC Press
Page : 998 pages
File Size : 41,6 Mb
Release : 2021-03-26
Category : Computers
ISBN : 9781351375108
Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research
Author : Arnaldo Garcia,Henning Stichtenoth
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 50,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9781402053344
The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles.
Author : Isaac Woungang,Sudip Misra,Subhas Chandra Misra
Publisher : World Scientific
Page : 725 pages
File Size : 46,5 Mb
Release : 2010
Category : Computers
ISBN : 9789812837165
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.