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Author : N.J.A. Sloane
Publisher : Springer
ISBN 13 : 3709128641
Total Pages : 78 pages
Book Rating : 4.7/5 (91 download)
Download or read book A Short Course on Error Correcting Codes written by N.J.A. Sloane and published by Springer. This book was released on 2014-05-04 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D J. Baylis
Publisher : Routledge
ISBN 13 : 1351449842
Total Pages : 232 pages
Book Rating : 4.3/5 (514 download)
Download or read book Error Correcting Codes written by D J. Baylis and published by Routledge. This book was released on 2018-05-11 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.
Author : Shu Lin
Publisher : Cambridge University Press
ISBN 13 : 1316512622
Total Pages : 843 pages
Book Rating : 4.3/5 (165 download)
Download or read book Fundamentals of Classical and Modern Error-Correcting Codes written by Shu Lin and published by Cambridge University Press. This book was released on 2021-12-09 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.
Author : Sebastian Xambo-Descamps
Publisher : Springer Science & Business Media
ISBN 13 : 3642189970
Total Pages : 273 pages
Book Rating : 4.6/5 (421 download)
Download or read book Block Error-Correcting Codes written by Sebastian Xambo-Descamps and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms. This combined approach facilitates the reading and understanding of the subject. The digital companion of the book is a non-printable .pdf document with hyperlinks. The examples included in the book can be run with just a mouse click and modified and saved by users for their own purpose.
Author : Jørn Justesen
Publisher : European Mathematical Society
ISBN 13 : 9783037190012
Total Pages : 210 pages
Book Rating : 4.1/5 (9 download)
Download or read book A Course in Error-correcting Codes written by Jørn Justesen and published by European Mathematical Society. This book was released on 2004 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as a text for a course aimed at advanced undergraduates. Chapters cover the codes and decoding methods that are currently of most interest in research, development, and application. They give a relatively brief presentation of the essential results, emphasizing the interrelations between different methods and proofs of all important results. A sequence of problems at the end of each chapter serves to review the results and give the student an appreciation of the concepts.
Author : Raymond Hill
Publisher : Oxford University Press
ISBN 13 : 9780198538035
Total Pages : 268 pages
Book Rating : 4.5/5 (38 download)
Download or read book A First Course in Coding Theory written by Raymond Hill and published by Oxford University Press. This book was released on 1986 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study.
Author : N. J. A. Sloane
Publisher :
ISBN 13 : 9783709128657
Total Pages : 84 pages
Book Rating : 4.1/5 (286 download)
Download or read book A Short Course on Error Correcting Codes written by N. J. A. Sloane and published by . This book was released on 2014-09-01 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simeon Ball
Publisher : Springer Nature
ISBN 13 : 3030411532
Total Pages : 185 pages
Book Rating : 4.0/5 (34 download)
Download or read book A Course in Algebraic Error-Correcting Codes written by Simeon Ball and published by Springer Nature. This book was released on 2020-05-08 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon’s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.
Author : American Mathematical Society. Short Course
Publisher : American Mathematical Soc.
ISBN 13 : 0821848283
Total Pages : 360 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quantum Information Science and Its Contributions to Mathematics written by American Mathematical Society. Short Course and published by American Mathematical Soc.. This book was released on 2010-10-19 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures delivered at the 2009 AMS Short Course on Quantum Computation and Quantum Information, held January 3-4, 2009, in Washington, D.C. Part I of this volume consists of two papers giving introductory surveys of many of the important topics in the newly emerging field of quantum computation and quantum information, i.e., quantum information science (QIS). The first paper discusses many of the fundamental concepts in QIS and ends with the curious and counter-intuitive phenomenon of entanglement concentration. The second gives an introductory survey of quantum error correction and fault tolerance, QIS's first line of defense against quantum decoherence. Part II consists of four papers illustrating how QIS research is currently contributing to the development of new research directions in mathematics. The first paper illustrates how differential geometry can be a fundamental research tool for the development of compilers for quantum computers. The second paper gives a survey of many of the connections between quantum topology and quantum computation. The last two papers give an overview of the new and emerging field of quantum knot theory, an interdisciplinary research field connecting quantum computation and knot theory. These two papers illustrate surprising connections with a number of other fields of mathematics. In the appendix, an introductory survey article is also provided for those readers unfamiliar with quantum mechanics.
Author : Gil Kalai
Publisher : Birkhäuser
ISBN 13 : 3034884389
Total Pages : 228 pages
Book Rating : 4.0/5 (348 download)
Download or read book Polytopes - Combinations and Computation written by Gil Kalai and published by Birkhäuser. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions that arose from linear programming and combinatorial optimization have been a driving force for modern polytope theory, such as the diameter questions motivated by the desire to understand the complexity of the simplex algorithm, or the need to study facets for use in cutting plane procedures. In addition, algorithms now provide the means to computationally study polytopes, to compute their parameters such as flag vectors, graphs and volumes, and to construct examples of large complexity. The papers of this volume thus display a wide panorama of connections of polytope theory with other fields. Areas such as discrete and computational geometry, linear and combinatorial optimization, and scientific computing have contributed a combination of questions, ideas, results, algorithms and, finally, computer programs.
Author : M. Aigner
Publisher : Springer
ISBN 13 : 3540386394
Total Pages : 262 pages
Book Rating : 4.5/5 (43 download)
Download or read book Geometries and Groups written by M. Aigner and published by Springer. This book was released on 2006-11-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Professor Dr. Hanfried Lenz on the Occasion of his 65th Birthday
Author : Demeter Krupka
Publisher : Elsevier
ISBN 13 : 0080954235
Total Pages : 787 pages
Book Rating : 4.0/5 (89 download)
Download or read book Introduction to Global Variational Geometry written by Demeter Krupka and published by Elsevier. This book was released on 2000-04-01 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether's theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles- First book on the geometric foundations of Lagrange structures- New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity- Basic structures and tools: global analysis, smooth manifolds, fibred spaces
Author : Thomas Beth
Publisher : Cambridge University Press
ISBN 13 : 9780521444323
Total Pages : 730 pages
Book Rating : 4.4/5 (443 download)
Download or read book Design Theory: Volume 1 written by Thomas Beth and published by Cambridge University Press. This book was released on 1999-11-18 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the second edition of the standard text on design theory.
Author : Thomas Beth
Publisher : Cambridge University Press
ISBN 13 : 9780521772310
Total Pages : 524 pages
Book Rating : 4.7/5 (723 download)
Download or read book Design Theory: Volume 2 written by Thomas Beth and published by Cambridge University Press. This book was released on 1999-11-18 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the standard text on design theory. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.
Author : R. Kaiser
Publisher : Springer Science & Business Media
ISBN 13 : 3540410473
Total Pages : 725 pages
Book Rating : 4.5/5 (44 download)
Download or read book Coherent atomic matter waves - Ondes de matiere coherentes written by R. Kaiser and published by Springer Science & Business Media. This book was released on 2001-02-28 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, devoted to the study of quantum effects in atomic systems, reviews the state of the art in the fields of Bose--Einstein condensation, quantum information processing, and the problems of propagation of matter waves in complex media. The specific topics include: theory and experiments in Bose--Einstein condensation, theory and experiments on decoherence phenomena in simple quantum systems and the connection to quantum measurement, atom interferometry, quantum computing, multiple scattering problems in atomic physics, quantum and nonlinear optics in a photonic band gap and quantum chaos and atomic physics. Pedagogical in style, the articles address PhD students as well as researchers.
Author : W. Knödel
Publisher : Springer Science & Business Media
ISBN 13 : 3709185963
Total Pages : 206 pages
Book Rating : 4.7/5 (91 download)
Download or read book Parallel Processes and Related Automata / Parallele Prozesse und damit zusammenhängende Automaten written by W. Knödel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third supplement volume of "Computing" deals with parallel processes and thus with a highly topical area of informatics. As both the first supplement volumes were concerned with numerical questions, the entire subject, the cultivation of which "Computing" purports, is now broadly outlined in the supplement volumes too. The reason for the simultaneous production of so many papers on the same subject was the 60th birthday of Prof. Dr. Wolfgang Handler, an eminent specialist in the field of parallel processing. It was the wish of his friends, colleagues and collaborators that Herr Handler be honoured by the gift of a volume which would have as its centre of interest the area of research that he represents. In this volume, parallelism is focused upon from various angles and an attempt has been made, through new results, to bring it a little further. It is obvious from a glance at the bibliographies of the papers contributed, in which many of Herr Handler's publications are referenced, that he was never far from the writer's minds.
Author : Alexander Thomasian
Publisher : Academic Press
ISBN 13 : 0323908098
Total Pages : 748 pages
Book Rating : 4.3/5 (239 download)
Download or read book Storage Systems written by Alexander Thomasian and published by Academic Press. This book was released on 2021-10-13 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Storage Systems: Organization, Performance, Coding, Reliability and Their Data Processing was motivated by the 1988 Redundant Array of Inexpensive/Independent Disks proposal to replace large form factor mainframe disks with an array of commodity disks. Disk loads are balanced by striping data into strips—with one strip per disk— and storage reliability is enhanced via replication or erasure coding, which at best dedicates k strips per stripe to tolerate k disk failures. Flash memories have resulted in a paradigm shift with Solid State Drives (SSDs) replacing Hard Disk Drives (HDDs) for high performance applications. RAID and Flash have resulted in the emergence of new storage companies, namely EMC, NetApp, SanDisk, and Purestorage, and a multibillion-dollar storage market. Key new conferences and publications are reviewed in this book.The goal of the book is to expose students, researchers, and IT professionals to the more important developments in storage systems, while covering the evolution of storage technologies, traditional and novel databases, and novel sources of data. We describe several prototypes: FAWN at CMU, RAMCloud at Stanford, and Lightstore at MIT; Oracle's Exadata, AWS' Aurora, Alibaba's PolarDB, Fungible Data Center; and author's paper designs for cloud storage, namely heterogeneous disk arrays and hierarchical RAID. - Surveys storage technologies and lists sources of data: measurements, text, audio, images, and video - Familiarizes with paradigms to improve performance: caching, prefetching, log-structured file systems, and merge-trees (LSMs) - Describes RAID organizations and analyzes their performance and reliability - Conserves storage via data compression, deduplication, compaction, and secures data via encryption - Specifies implications of storage technologies on performance and power consumption - Exemplifies database parallelism for big data, analytics, deep learning via multicore CPUs, GPUs, FPGAs, and ASICs, e.g., Google's Tensor Processing Units
