Download or read book Quaternary Codes written by Zhexian Wan and published by World Scientific. This book was released on 1997 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years quaternary codes have attracted the attention of the coding community as several notorious binary nonlinear codes containing more codewords than any known linear codes were found to be binary images under the Gray map of linear codes over Z 4 This discovery opens the way for a broader study of quaternary codes, which constitute a rapidly growing area of coding theory. This book is based on the author's lectures in Xi'an, China and Lurid, Sweden and covets the most recent developments of this theory.
Download or read book Sequences and their Applications written by C. Ding and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains survey papers and research papers by leading experts on sequences and their applications. It discusses both the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation. Sequences have important applications in ranging systems, spread spectrum communication systems, multi-terminal system identification, code division multiply access communications systems, global positioning systems, software testing, circuit testing, computer simulation, and stream ciphers. The papers contained in this volume bring together experts from discrete mathematics, computer science and communications engineering, and help to bridge advances in these different areas.
Download or read book Coding Theory and Applications written by Angela Barbero and published by Springer Science & Business Media. This book was released on 2008-09-05 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 2nd International Castle Meeting, ISMCTA 2008, Castillo de la Mota, Medina del Campo, Spain, September 2008. The 14 full papers and 5 invited papers presented were carefully reviewed and selected from 34 submissions for inclusion in the book. The papers cover network coding, quantum codes, group codes, codes and combinatorial structures, agebraic-geometry codes, as well as codes and applications.
Download or read book Z2Z4 Linear Codes written by Joaquim Borges and published by Springer Nature. This book was released on 2022-06-30 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory developed for Z2Z4-additive codes is the starting point for much generalization about codes over mixed alphabets. They have opened a new, emergent area of research. The techniques used for Z2Z4-linear codes are being generalized and applied to more general codes. By example, these codes have contributed to the classification of many nonlinear codes. Moreover, they can be considered as the starting point of many different generalizations given over mixed alphabets, thereby representing a useful area of research. Since 2010, more than 30 papers have been published about the codes considered in the book, which includes important classes of binary codes (1-perfect, Hadamard, etc.) that are not linear in general. For example, much recent research has shown the application of the techniques described for the family of cyclic Z2Z4-linear codes. Topics and Features: Examines everything from the basic definitions to very advanced results Provides numerous examples, succinctly and comprehensively gathering and using the relevant information Includes examples using commands from a new Magma package, developed mostly by the same authors Proposes algorithms, for instance to describe coding and decoding strategies This unique volume will be eminently suitable for researchers working on coding theory over rings, especially over mixed alphabets. Experts will find commands and algorithms that will be useful in the generalization to codes over mixed alphabets. Additionally, by outlining the basic theory of codes over mixed alphabets and providing numerous examples, the book will be useful to researchers wanting to be introduced to the topic. The authors are all affiliated with the Dept. of Information and Communications Engineering at the Universitat Autònoma de Barcelona, Spain. Joaquim Borges and Cristina Fernández-Córdoba are Associate Professors, Jaume Pujol is a now retired Associate Professor, Josep Rifà is Professor Emeritus, and Mercè Villanueva is Associate Professor.
Download or read book Introduction to Coding Theory written by Jurgen Bierbrauer and published by CRC Press. This book was released on 2016-10-14 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary introduction to coding, theory and applications of codes, and algebraic curves. The latter part presents a brief introduction to the theory of algebraic curves and its most important applications to coding theory.
Download or read book Concise Encyclopedia of Coding Theory written by W. Cary Huffman and published by CRC Press. This book was released on 2021-03-26 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Introduction to Coding Theory written by J.H. van Lint and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is gratifying that this textbook is still sufficiently popular to warrant a third edition. I have used the opportunity to improve and enlarge the book. When the second edition was prepared, only two pages on algebraic geometry codes were added. These have now been removed and replaced by a relatively long chapter on this subject. Although it is still only an introduction, the chapter requires more mathematical background of the reader than the remainder of this book. One of the very interesting recent developments concerns binary codes defined by using codes over the alphabet 7l.4• There is so much interest in this area that a chapter on the essentials was added. Knowledge of this chapter will allow the reader to study recent literature on 7l. -codes. 4 Furthermore, some material has been added that appeared in my Springer Lec ture Notes 201, but was not included in earlier editions of this book, e. g. Generalized Reed-Solomon Codes and Generalized Reed-Muller Codes. In Chapter 2, a section on "Coding Gain" ( the engineer's justification for using error-correcting codes) was added. For the author, preparing this third edition was a most welcome return to mathematics after seven years of administration. For valuable discussions on the new material, I thank C.P.l.M.Baggen, I. M.Duursma, H.D.L.Hollmann, H. C. A. van Tilborg, and R. M. Wilson. A special word of thanks to R. A. Pellikaan for his assistance with Chapter 10.
Download or read book Fundamentals of Error Correcting Codes written by W. Cary Huffman and published by Cambridge University Press. This book was released on 2010-02-18 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, there is much coverage of techniques which could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.
Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Serdar Boztas and published by Springer Science & Business Media. This book was released on 2007-11-30 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The 33 revised full papers presented together with 8 invited papers were carefully reviewed and selected from 61 submissions. 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: algebraic algorithms and transforms; sequences and boolean functions.
Download or read book A Short Introduction to Quaternary Codes written by N. Suresh Babu and published by . This book was released on 1999 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Maria Bras-Amorós and published by Springer Science & Business Media. This book was released on 2009-05-25 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. The 22 revised full papers presented together with 7 extended absstracts were carefully reviewed and selected from 50 submissions. 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: algebraic algorithms and transforms; sequences and boolean functions.
Download or read book Algebraic Coding Theory Over Finite Commutative Rings written by Steven T. Dougherty and published by Springer. This book was released on 2017-07-04 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, it has grown as a branch of mathematics, and has since been expanded to consider any finite field, and later also Frobenius rings, as its alphabet. This book presents a broad view of the subject as a branch of pure mathematics and relates major results to other fields, including combinatorics, number theory and ring theory. Suitable for graduate students, the book will be of interest to anyone working in the field of coding theory, as well as algebraists and number theorists looking to apply coding theory to their own work.
Download or read book UNDER THE DOME BOOK 2 WHO AM I HOW DID I GET HERE WHERE DID I COME FROM written by Gorgi Shepentulevski and published by Gorgi Shepentulevski. This book was released on 2001-10-12 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a world where reality is being presented to us as fantasy, and fantasy and as a reality. This world is not what we have been told to be, and everything that we know of is fake fictional stories written by Artificial Intelligence computers on sets of algorithm instructions that tells it what to write. What we know of our world was not written by humans for the most part of it, but by machines, they only needed to put in a plot or parameters and the AI computers were writing up the stories guided by algorithms. In this book of 23 Chapters there are so many revealed secrets of the true nature of the world we live in and creation as a whole, scattered throughout all 90 pages of this book and because of that it should be read thoroughly. Starting from Chapter 1, this book explains the true origin of humanity and creation as a whole, who we really are, where did we come from, and how did we get here! Chapter 2 explains the true story of the Trojan War, and the real reason why humanity is in perpetual wars ever since the Great re-set about 200 years ago, and the takeover of our 4 continents by Satanic forces. Chapter 3 explains what the Dome is made of that we live Under, and when it was put in place. Chapter 4 explains the primary purpose of the Dome as a Macro cosmos, and its importance for the creation of humanity as Micro cosmos, as above – so below. Chapter 5 explains the true purpose of the Portal at North Pole known as Ruper Nigra, or Mount Mery, which I call Mother-mirror Portal. Chapter 6 explains how exactly water was made in the Underworld by the Portal machine I call Mother Portal. Chapter 7 explains how the Dome was made by the Father Portal machine which is placed under the ground in the centre of the world. Just a remainder here that the centre of the world is not at the North Pole, but somewhere else. Chapter 8 explains what exactly is Torus field dynamics that creates the Dome we live under, and how it works. Chapter 9 explains exactly what an Atom is, its true origin and function. Chapter 10 explains the origin of the Cross, how it came into existence, and its true purpose for human-kind creation. Chapter 11 explains the meaning of the Cross in the middle text of Rosetta Stone. Chapter 12 explains the real meaning of the Cross in the Bible referred to as ‘The Twin Flame’. Chapter 13 explains the true meaning of the words ‘Equator’, ‘North’ – ‘South’, ‘East’ – ‘West’, and ‘Horizon’. Chapter 14 explains exactly why Atmospheric Energy increases by 100 Volts going upwards into the sky. Chapter 15 explains the Intelligent design of Creation. Chapter 16 explains exactly how Stars were Born. Chapter 17 explains exactly who God is. Chapter 18 explains what the element of Fire is. Chapter 19 explains what the element of Air is. Chapter 20 explains what the element of Water is. Chapter 21 explains what the element of Earth is. Chapter 22 explains the true meaning of Saint Bartholomew. Chapter 23 explains all about hexagonal growth formation in nature as mathematical construct.
Download or read book Cryptography and Coding written by Matthew G. Parker and published by Springer. This book was released on 2009-12-02 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th IMA International Conference on Cryptography and Coding, held in Cirencester, UK in December 2009. The 26 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on coding theory, symmetric cryptography, security protocols, asymmetric cryptography, Boolean functions and side channels and implementations.
Download or read book Algebraic Coding written by Gerard Cohen and published by Springer Science & Business Media. This book was released on 1994-04-28 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the changes in the regional infrastructure within the European automobile industry. It is based on the increased competition between the European automobile industry and its suppliers, which has several causes: the intensified activities of Japanese competitors in Europe, leading to faster adaptation to new production concepts in European companies (lean production); concentration of suppliers in connection with these new concepts; new opportunities and competition as a result of the home market and the opening of Eastern Europe.
Download or read book Windows Graphics Programming written by Feng Yuan and published by Prentice Hall Professional. This book was released on 2001 with total page 1283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Currently, there aren't any good books on Windows graphics programming. Programmers looking for help are left to muddle their way through online documentation and API books that don't focus on this topic. This book paves new ground, covering actual graphics implementation, hidden restrictions, and performance issues programmers need to know about.
Download or read book Computer Vision Computer Graphics Collaboration Techniques written by André Gagalowicz and published by Springer. This book was released on 2009-05-05 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Computer Vision/Computer Graphics Collaboration Techniques, MIRAGE 2009, held in Rocquencourt, France, in May 2009. The 41 revised full papers presented were carefully reviewed and selected from a total of 83 submissions. The papers cover a wide range of topics with focus on Computer Vision/Computer Graphics collaboration techniques involving image analysis/synthesis approaches especially concerning theoretical, computational, experimental or industrial aspects of model-based image analysis and image-based model synthesis.
