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Fundamentals Of Error Correcting Codes

Author : W. Cary Huffman
ISBN : 1139439502
Genre : Technology & Engineering
File Size : 63. 24 MB
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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.

Introduction To Error Correcting Codes

Author : Michael Purser
ISBN : 0890067848
Genre : Technology & Engineering
File Size : 51. 60 MB
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This title covers the fundamentals of error-correcting codes for the non-specialist user, from general concepts through to the most common error-correcting codes applied to bit transmission in packet switched networks and personal cellular systems. It also includes sections on linear blockades, BCH codes and cyclic codes.

Introduction To The Theory Of Error Correcting Codes

Author : Vera Pless
ISBN : 9781118030998
Genre : Mathematics
File Size : 88. 5 MB
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A complete introduction to the many mathematical tools used tosolve practical problems in coding. Mathematicians have been fascinated with the theory oferror-correcting codes since the publication of Shannon's classicpapers fifty years ago. With the proliferation of communicationssystems, computers, and digital audio devices that employerror-correcting codes, the theory has taken on practicalimportance in the solution of coding problems. This solutionprocess requires the use of a wide variety of mathematical toolsand an understanding of how to find mathematical techniques tosolve applied problems. Introduction to the Theory of Error-Correcting Codes, Third Editiondemonstrates this process and prepares students to cope with codingproblems. Like its predecessor, which was awarded a three-starrating by the Mathematical Association of America, this updated andexpanded edition gives readers a firm grasp of the timelessfundamentals of coding as well as the latest theoretical advances.This new edition features: * A greater emphasis on nonlinear binary codes * An exciting new discussion on the relationship between codes andcombinatorial games * Updated and expanded sections on the Vashamov-Gilbert bound, vanLint-Wilson bound, BCH codes, and Reed-Muller codes * Expanded and updated problem sets. Introduction to the Theory of Error-Correcting Codes, Third Editionis the ideal textbook for senior-undergraduate and first-yeargraduate courses on error-correcting codes in mathematics, computerscience, and electrical engineering.

An Introduction To Error Correcting Codes With Applications

Author : Scott A. Vanstone
ISBN : 9781475720327
Genre : Technology & Engineering
File Size : 65. 74 MB
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5. 2 Rings and Ideals 148 5. 3 Ideals and Cyclic Subspaces 152 5. 4 Generator Matrices and Parity-Check Matrices 159 5. 5 Encoding Cyclic Codest 163 5. 6 Syndromes and Simple Decoding Procedures 168 5. 7 Burst Error Correcting 175 5. 8 Finite Fields and Factoring xn-l over GF(q) 181 5. 9 Another Method for Factoring xn-l over GF(q)t 187 5. 10 Exercises 193 Chapter 6 BCH Codes and Bounds for Cyclic Codes 6. 1 Introduction 201 6. 2 BCH Codes and the BCH Bound 205 6. 3 Bounds for Cyclic Codest 210 6. 4 Decoding BCH Codes 215 6. 5 Linearized Polynomials and Finding Roots of Polynomialst 224 6. 6 Exercises 231 Chapter 7 Error Correction Techniques and Digital Audio Recording 7. 1 Introduction 237 7. 2 Reed-Solomon Codes 237 7. 3 Channel Erasures 240 7. 4 BCH Decoding with Erasures 244 7. 5 Interleaving 250 7. 6 Error Correction and Digital Audio Recording 256 7.

Error Correction Coding

Author : Todd K. Moon
ISBN : 9781119567479
Genre : Computers
File Size : 87. 7 MB
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Providing in-depth treatment of error correction Error Correction Coding: Mathematical Methods and Algorithms, 2nd Edition provides a comprehensive introduction to classical and modern methods of error correction. The presentation provides a clear, practical introduction to using a lab-oriented approach. Readers are encouraged to implement the encoding and decoding algorithms with explicit algorithm statements and the mathematics used in error correction, balanced with an algorithmic development on how to actually do the encoding and decoding. Both block and stream (convolutional) codes are discussed, and the mathematics required to understand them are introduced on a “just-in-time” basis as the reader progresses through the book. The second edition increases the impact and reach of the book, updating it to discuss recent important technological advances. New material includes: Extensive coverage of LDPC codes, including a variety of decoding algorithms. A comprehensive introduction to polar codes, including systematic encoding/decoding and list decoding. An introduction to fountain codes. Modern applications to systems such as HDTV, DVBT2, and cell phones Error Correction Coding includes extensive program files (for example, C++ code for all LDPC decoders and polar code decoders), laboratory materials for students to implement algorithms, and an updated solutions manual, all of which are perfect to help the reader understand and retain the content. The book covers classical BCH, Reed Solomon, Golay, Reed Muller, Hamming, and convolutional codes which are still component codes in virtually every modern communication system. There are also fulsome discussions of recently developed polar codes and fountain codes that serve to educate the reader on the newest developments in error correction.

Applied Algebra Algebraic Algorithms And Error Correcting Codes

Author : Serdar Boztas
ISBN : 9783540772231
Genre : Computers
File Size : 81. 87 MB
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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.

Lectures On Quantum Computation Quantum Error Correcting Codes And Information Theory

Author : K. R. Parthasarathy
ISBN : UCSC:32106019527065
Genre : Mathematics
File Size : 52. 61 MB
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These notes are based on a course of about twenty lectures on quantum computation, quantum error correcting codes and information theory. Shor's Factorization algorithm, Knill-Laflamme theory of error correcting quantum codes and the basic ideas of classical and quantum information theory are discussed. The only background expected of the reader is familiarity with linear algebra in finite dimensional complex vector space and elementary probability theory.

Error Correcting Linear Codes

Author : Anton Betten
ISBN : 9783540317036
Genre : Mathematics
File Size : 88. 40 MB
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This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically.

Fiber Optic Communication Systems

Author : Govind P. Agrawal
ISBN : 9780470922828
Genre : Science
File Size : 63. 71 MB
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This book provides a comprehensive account of fiber-optic communication systems. The 3rd edition of this book is used worldwide as a textbook in many universities. This 4th edition incorporates recent advances that have occurred, in particular two new chapters. One deals with the advanced modulation formats (such as DPSK, QPSK, and QAM) that are increasingly being used for improving spectral efficiency of WDM lightwave systems. The second chapter focuses on new techniques such as all-optical regeneration that are under development and likely to be used in future communication systems. All other chapters are updated, as well.

Algebraic Geometry Modeling In Information Theory

Author : Edgar Martínez-Moro
ISBN : 9789814335751
Genre : Mathematics
File Size : 33. 47 MB
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Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.

Fundamentals Of Electro Optic Systems Design

Author : Sherman Karp
ISBN : 9781107021396
Genre : Science
File Size : 41. 25 MB
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Presents practical electro-optical applications in the context of the fundamental principles of communication theory, thermodynamics, information theory and propagation theory. Combining systems issues with fundamentals of communications, this is an essential reference for all practising engineers and academic researchers in optical engineering.

Concise Encyclopedia Of Coding Theory

Author : Taylor & Francis Group
ISBN : 1138551996
Genre :
File Size : 43. 10 MB
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"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 Editor bio W. Cary Huffman (1948-) received his PhD in mathematics from the California Institute of Technology in 1974. He taught at Dartmouth College (1974 - 1976) as a John Wesley Young Research Instructor and then at Union College (1976 - 1978). In 1978, he joined the Department of Mathematics and Statistics at Loyola University Chicago, continuing there until his retirement in 2018; he is now professor emeritus. He served as that department's chair from 1986 to 1992. He is co-editor of the Handbook of Coding Theory and co-author of Fundamentals of Error-Correcting Codes, both with Vera Pless. In addition, he has published numerous papers in finite group theory, combinatorics, and algebraic coding theory. Jon-Lark Kim received his Ph.D. in 2002 from Department of Math of the University of Illinois at Chicago. He was an Associate Professor at the University of Louisville until 2012. He is currently professor at Math Department of Sogang University in Seoul. He has authored more than fifty research papers and one book on Coding Theory. He is the recipient of the 2004 Kirkman medal from the Institute of Combinatorics and its Applications. His research interests include Coding Theory, Cryptography, Combinatorics, Bioinformatics, and Artificial Intelligence. Patrick Solâe (1960-) received the Ingâenieur and the Docteur Ingâenieur degrees from Ecole Nationale Supâerieure des Tâelâecommunications, Paris, France in 1984 and 1987, respectively, and the Habilitation áa Diriger des Recherches degree from University of Nice Sophia-Antipolis, France, in 1993"--

Fundamentals Of Information Theory And Coding Design

Author : Roberto Togneri
ISBN : 0203998103
Genre : Computers
File Size : 38. 59 MB
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Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret

Digital Computer Fundamentals

Author : D.A.Godse A.P.Godse
ISBN : 8184313039
Genre :
File Size : 21. 62 MB
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Digital ConceptsDigital computer fundamentals, Block diagram of a computer, Components of a computer system, Digital and analog quantities, Binary digits, Logic levels, Digital waveforms, Basic logic operations, Digital integrated circuits.Number SystemsNumber representation, Decimal, Binary, Octal, Hexadecimal and BCD numbers, Binary arithmetic, Binary addition, Unsigned and signed numbers, One's and two's complements of binary numbers, Arithmetic operations with signed numbers, Number system conversions, Digital codes.Boolean Algebra and Logic SimplificationLogic gates, AND, OR, NOT, NAND, NOR, XOR and XNOR, Laws and rules of Boolean algebra, DeMorgan's theorems, Standard forms of Boolean expressions, Sum of products, Product of sums, Boolean expression and truth tables, Boolean expression minimization using Boolean laws, The Karnaugh map, Sum of products and products of sum minimization.Hardware and Software Processing devices, Memory devices, Input and output devices, Optical input devices, Audiovisual input devices, Monitors, Printing devices, Storage devices, Magnetic and optical storage devices, System software, Application software, Graphics and multimedia.Networking FundamentalsData communication with standard telephone lines, Modems, Digital data connections, Broadband connections, DSL technologies, Cable modem connections, Computer networking basics, Common types of networks, Structuring of networks, Network media and hardware.

Fundamentals Of Codes Graphs And Iterative Decoding

Author : Stephen B. Wicker
ISBN : 9780306477942
Genre : Technology & Engineering
File Size : 30. 36 MB
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Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.


Author : Nick Bostrom
ISBN : 9780191666834
Genre : Computers
File Size : 74. 68 MB
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The human brain has some capabilities that the brains of other animals lack. It is to these distinctive capabilities that our species owes its dominant position. Other animals have stronger muscles or sharper claws, but we have cleverer brains. If machine brains one day come to surpass human brains in general intelligence, then this new superintelligence could become very powerful. As the fate of the gorillas now depends more on us humans than on the gorillas themselves, so the fate of our species then would come to depend on the actions of the machine superintelligence. But we have one advantage: we get to make the first move. Will it be possible to construct a seed AI or otherwise to engineer initial conditions so as to make an intelligence explosion survivable? How could one achieve a controlled detonation? To get closer to an answer to this question, we must make our way through a fascinating landscape of topics and considerations. Read the book and learn about oracles, genies, singletons; about boxing methods, tripwires, and mind crime; about humanity's cosmic endowment and differential technological development; indirect normativity, instrumental convergence, whole brain emulation and technology couplings; Malthusian economics and dystopian evolution; artificial intelligence, and biological cognitive enhancement, and collective intelligence. This profoundly ambitious and original book picks its way carefully through a vast tract of forbiddingly difficult intellectual terrain. Yet the writing is so lucid that it somehow makes it all seem easy. After an utterly engrossing journey that takes us to the frontiers of thinking about the human condition and the future of intelligent life, we find in Nick Bostrom's work nothing less than a reconceptualization of the essential task of our time.

Fundamentals Of Quantum Optics And Quantum Information

Author : Peter Lambropoulos
ISBN : 9783540345718
Genre : Science
File Size : 56. 39 MB
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This book is an introduction to the two closely related subjects of quantum optics and quantum information. The book gives a simple, self-contained introduction to both subjects, while illustrating the physical principles of quantum information processing using quantum optical systems. To make the book accessible to those with backgrounds other than physics, the authors also include a brief review of quantum mechanics. Furthermore, some aspects of quantum information, for example those pertaining to recent experiments on cavity QED and quantum dots, are described here for the first time in book form.

Error Control Coding

Author : Lin Shu
ISBN : 8131734404
Genre : Error-correcting codes (Information theory)
File Size : 74. 18 MB
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Advanced Intelligent Computing Theories And Applications With Aspects Of Theoretical And Methodological Issues

Author : De-Shuang Huang
ISBN : 9783540874423
Genre : Computers
File Size : 58. 10 MB
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The International Conference on Intelligent Computing (ICIC) was formed to p- vide an annual forum dedicated to the emerging and challenging topics in artificial intelligence, machine learning, bioinformatics, and computational biology, etc. It aims to bring together researchers and practitioners from both academia and ind- try to share ideas, problems and solutions related to the multifaceted aspects of intelligent computing. ICIC 2008, held in Shanghai, China, September 15–18, 2008, constituted the 4th International Conference on Intelligent Computing. It built upon the success of ICIC 2007, ICIC 2006 and ICIC 2005 held in Qingdao, Kunming and Hefei, China, 2007, 2006 and 2005, respectively. This year, the conference concentrated mainly on the theories and methodologies as well as the emerging applications of intelligent computing. Its aim was to unify the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. Therefore, the theme for this conference was “Emerging Intelligent Computing Technology and Applications”. Papers focusing on this theme were solicited, addressing theories, methodologies, and applications in science and technology.

Fundamentals Of Logic Design

Author : Charles H. Roth, Jr.
ISBN : 9781285633022
Genre : Technology & Engineering
File Size : 66. 52 MB
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Updated with modern coverage, a streamlined presentation, and excellent companion software, this seventh edition of FUNDAMENTALS OF LOGIC DESIGN achieves yet again an unmatched balance between theory and application. Authors Charles H. Roth, Jr. and Larry L. Kinney carefully present the theory that is necessary for understanding the fundamental concepts of logic design while not overwhelming students with the mathematics of switching theory. Divided into 20 easy-to-grasp study units, the book covers such fundamental concepts as Boolean algebra, logic gates design, flip-flops, and state machines. By combining flip-flops with networks of logic gates, students will learn to design counters, adders, sequence detectors, and simple digital systems. After covering the basics, this text presents modern design techniques using programmable logic devices and the VHDL hardware description language. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

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