A First Course in Coding Theory

A First Course in Coding Theory

This book provides and elementary, yet rigorous, introduction to the theory of error-correcting codes.

Author: Raymond Hill

Publisher: Oxford University Press

ISBN: 0198538030

Category: Computers

Page: 251

View: 307

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.
Categories: Computers

A Course in Group Theory

A Course in Group Theory

Bibliography Anderson, I. (1989). A first course in combinatorial mathematics.
Oxford Applied Mathematics and Computing Science Series. Clarendon Press,
Oxford. Artin, E. (1957). Geometric algebra. Wiley, New York. Aschbacher, M. (
1994).

Author: J. F. Humphreys

Publisher: Oxford University Press on Demand

ISBN: 0198534590

Category: Business & Economics

Page: 279

View: 558

Each chapter ends with a summary of the material covered and notes on the history and development of group theory.
Categories: Business & Economics

Handbook of Linear Algebra

Handbook of Linear Algebra

3282 of Lecture Notes in Computer Science. Springer, Heidelberg, 2004. [Hil86]
R. Hill. A First Course in Coding Theory. Oxford Applied Mathematics and
Computing Science Series. The Clarendon Press/Oxford University Press, New
York, ...

Author: Leslie Hogben

Publisher: CRC Press

ISBN: 9781420010572

Category: Mathematics

Page: 1400

View: 755

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl
Categories: Mathematics

Noncommutative Rings and Their Applications

Noncommutative Rings and Their Applications

R. Hill, A first course in coding theory, Oxford Applied Mathematics and
Computing Science Series, The Clarendon Press, Oxford University Press, New
York, 1986. MR853914 (87m:94024) W. C. Huffman and V. Pless, Fundamentals
of ...

Author: Steven Dougherty

Publisher: American Mathematical Soc.

ISBN: 9781470410322

Category: Mathematics

Page: 265

View: 326

This volume contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras. Material from the course ``Foundations of Algebraic Coding Theory``, given by Steven Dougherty, is included and provides the reader with the history and background of coding theory as well as the interplay between coding theory and algebra. In module theory, many new results related to (almost) injective modules, injective hulls and automorphism-invariant modules are presented. Broad generalizations of classical projective covers are studied and category theory is used to describe the structure of some modules. In some papers related to more classical ring theory such as quasi duo rings or clean elements, new points of view on classical conjectures and standard open problems are given. Descriptions of codes over local commutative Frobenius rings are discussed, and a list of open problems in coding theory is presented within their context.
Categories: Mathematics

Block Error Correcting Codes

Block Error Correcting Codes

Foundations of Doding: Theory and Applications of Error- Correcting Codes with
an Introduction to Cryptography and Information Theory. John Wiley ... A first
course in coding theory. Oxford applied mathematics and computing science
series.

Author: Sebastian Xambo-Descamps

Publisher: Springer Science & Business Media

ISBN: 3540003959

Category: Computers

Page: 266

View: 649

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.
Categories: Computers

A First Course in Combinatorial Mathematics

A First Course in Combinatorial Mathematics

Now in a new second edition, this volume presents a clear and concise treatment of an increasingly important branch of mathematics.

Author: Ian Anderson

Publisher: Oxford University Press

ISBN: 0198596731

Category: Mathematics

Page: 134

View: 377

The spirit and aim of this book is to present a compact introduction to the basic combinatorial tools - such as recurrence relations, generating functions, incidence matrices, and the inclusion-exclusion principle - that will give the reader a flavour of the distinctive characteristics of thisattractive and increasingly important branch of mathematics.A studly of block designs is followed by a brief mention of applications to coding theory. In this new edition, Steiner triple systems are constructed and S(5,8,24) is obtained via the Golay code of length 24. The final chapter combines together the three combinatorial structures of the Leechlattice, the Golay codes, and Steiner systems. Also in this edition, an application of the marriage theorem to score sequences of tournaments has been included.
Categories: Mathematics

A First Course in Combinatorial Mathematics

A First Course in Combinatorial Mathematics

Now in a new second edition, this volume presents a clear and concise treatment of an increasingly important branch of mathematics.

Author: Pamela Anderson Lee

Publisher: Oxford University Press, USA

ISBN: UOM:39015015503470

Category: Science

Page: 134

View: 799

Now in a new second edition, this volume presents a clear and concise treatment of an increasingly important branch of mathematics. A unique introductory survey complete with easy-to-understand examples and sample problems, this text includes information on such basic combinatorial tools as recurrence relations, generating functions, incidence matrices, and the non-exclusion principle. It also provides a study of block designs, Steiner triple systems, and expanded coverage of the marriage theorem, as well as a unified account of three important constructions which are significant in coding theory.
Categories: Science

Journal of the Korean Mathematical Society

Journal of the Korean Mathematical Society

Theory Ser . A 62 ( 1993 ) , no . 1 , 30–45 . ( 6 ] S. T. Dougherty , T. A. Gulliver ,
and J. N. C. Wong , Self - dual codes over Zs and Zg ... ( 18 ) R. Hill , A First
Course in Coding Theory , Oxford Applied Mathematics and Computing Science
Series .

Author:

Publisher:

ISBN: CORNELL:31924099691069

Category: Mathematics

Page:

View: 736

Categories: Mathematics

Combinatorial Bounds and Constructions in the Theory of Uniform Point Distributions in Units Cubes Connections with Orthogonal Arrays and a Poset Generalization of a Related Problem in Coding Theory

Combinatorial Bounds and Constructions in the Theory of Uniform Point Distributions in Units Cubes  Connections with Orthogonal Arrays and a Poset Generalization of a Related Problem in Coding Theory

Ursa [ 11 ] R . Hill , A First Course in Coding Theory , Oxford Applied Mathematics
and Computing Science Series ( Clarendon Press , Oxford , 1986 ) . ( 12 ) J . W .
P . Hirschfeld , Maximum sets in finite projective spaces , Surveys in ...

Author: Kenneth Mark Lawrence

Publisher:

ISBN: WISC:89052199619

Category:

Page: 338

View: 537

Categories:

Error correcting Codes and Finite Fields

Error correcting Codes and Finite Fields

The book assumes only a basic knowledge of linear algebra and develops the mathematical theory in parallel with the codes. Central to the text are worked examples whichmotivate and explain the theory. The book is in four parts.

Author: Oliver Pretzel

Publisher: Oxford University Press on Demand

ISBN: 0192690671

Category: Computers

Page: 341

View: 206

This textbook is a reprint of Chapters 1-20 of the original hardback edition. It provides the reader with the tools necessary to implement modern error-processing schemes. The material on algebraic geometry and geometric Goppa codes, which is not part of a standard introductory course on coding theory, has been omitted. The book assumes only a basic knowledge of linear algebra and develops the mathematical theory in parallel with the codes. Central to the text are worked examples whichmotivate and explain the theory. The book is in four parts. The first introduces the basic ideas of coding theory. The second and third cover the theory of finite fields and give a detailed treatment of BCH and Reed-Solomon codes. These parts are linked by their uses of Eulid's algorithm as a central technique. The fourth part treats classical Goppa codes.
Categories: Computers

Database Systems Engineering

Database Systems Engineering

OXFORD APPLIED MATHEMATICS AND COMPUTING SCIENCE SERIES I .
Anderson : A First Course in Combinatorial ... and P . Smith : Nonlinear Ordinary
Differential Equations ( Second Edition ) D . S . Jones : Elementary Information
Theory B . Carré : Graphs and ... Control Theory ( Second Edition ) A . B . Tayler :
Mathematical Models in Applied Mechanics R . Hill : A First Course in Coding
Theory P ...

Author: R. P. Whittington

Publisher: Oxford University Press, USA

ISBN: UOM:39015042853062

Category: Data base management

Page: 430

View: 334

This textbook is an introduction to the principles and practice of database systems development and management. Its aim is to reflect the modern notion that information systems engineering has its own analysts, designers, and implementors comparable with any other engineering discipline.The book is based on courses at the University of York and will be suitable for all those coming to database systems for the first time. Starting from first principles, Dr Whittington discusses the analysis, design, and implementation of databases within the context of information systems. Topicscovered include the relational model of databases, SQL (a relational database language), DBMS implementation, and the practicalities of selecting the logical, structural, and physical design of database systems. Throughout, key points are illustrated with practical examples, and numerous exerciseswill strengthen and further understanding.Consequently, this book will provide an invaluable and comprehensive treatment of this increasingly important subject. By presenting the reader with a coherent treatment of database material within a sound engineering context, it better prepares the readers for the practical roles that thediscipline demands.
Categories: Data base management

Wave Theory and Applications

Wave Theory and Applications

OXFORD APPLIED MATHEMATICS AND COMPUTING SCIENCE SERIES I .
Anderson : A First Course in Combinatorial ... P . Smith : Nonlinear Ordinary
Differential Equations ( Second Edition ) D . S . Jones : Elementary Information
Theory B . Carré : Graphs and ... ( Second Edition ) A . B . Tayler : Mathematical
Models in Applied Mechanics R . Hill : A First Course in Coding Theory P .
Baxandall and H ...

Author: David Russell Bland

Publisher: Oxford University Press

ISBN: 0198596545

Category: Science

Page: 317

View: 975

This textbook provides a modern introduction to wave theory and its applications to physical phenomena such as deep water waves, transmission lines, elasticity, and traffic flow. The author presents a broad coverage of the subject, including numerous exercises. Each of the main topics is described in detail with examples of their applications. These topics include the classical wave equation, dispersion, dissipation, interconnected waves, diffusive waves, and first and second order non-linear waves. The special attention paid to non-linear and elastic waves represents a major strength of the text, along with its inclusion of an entire chapter devoted to the use of characteristics and asymptotic expansions. Intended for advanced undergraduates, the book will also be of interest to instructors in mathematics, physics and engineering courses.
Categories: Science

RF System Implementation and Simulation Using WiSE Lab Testbed

RF System Implementation and Simulation Using WiSE Lab Testbed

REFERENCES [ 1 ] Adamek , Jiri , Foundations of Coding , John Wiley & Sons ,
1991 . [ 2 ] Hill , Raymond , A First Course in Coding Theory , Oxford Applied
Mathematics and Computing Science Series , 1986 . [ 3 ] Lathi , B.P. , Modern
Digital ...

Author: George Hsu

Publisher:

ISBN: CORNELL:31924089143220

Category:

Page:

View: 990

Categories:

An Introduction to Discrete Mathematics Formal System Specification and Z

An Introduction to Discrete Mathematics  Formal System Specification  and Z

Oxford Applied Mathematics and Computing Science Series I . Anderson : A First
Course in Combinatorial Mathematics ... ( Second Edition ) A . B . Tayler :
Mathematical Models in Applied Mechanics R . Hill : A First Course in Coding
Theory P ...

Author: Darrel Ince

Publisher: Oxford University Press, USA

ISBN: STANFORD:36105003391591

Category: Mathematics

Page: 286

View: 199

Formal specification is the name given to the use of discrete mathematics in computer science for describing the function of both hardware and software systems. Poor specification often gives rise to severe problems in software and hardware installation. This textbook is an introduction toboth the theory and practice of formal specification, and this new edition includes two new chapters on Z, one giving a number of small examples in Z, the other covering design and Z. Prerequisites in this edition have been kept to a minimum since Professor Ince is at pains to develop the techniquesof requirement analysis and discrete mathematics that are needed. Throughout the book are numerous worked examples and exercises which include many real examples of software and computer systems.
Categories: Mathematics

Mathematical Reviews

Mathematical Reviews

There is some irony in class of matrices with a beautiful underlying mathematical
theory . seeing one whose training ... and they are used seems to be a definitive
guide , while efforts by workers in these in computer science and cryptography .
In statistics , the primary applied fields appear to have fallen short - in terms of
accessibility use of orthogonal arrays is in ... Press , Oxford , 2007 . going for a
neophyte , but the first part of the book would make a The objective of the "
Matroid ...

Author:

Publisher:

ISBN: UOM:39015081370234

Category: Mathematics

Page:

View: 246

Categories: Mathematics

Eureka

Eureka

Oxford Applied Mathematics and Computing Science Series _ A First Course in
Combinatorial Mathematics 1 . ... A study of block designs is followed by a brief
mention of applications to coding theory , and in the final chapter Steiner systems
 ...

Author:

Publisher:

ISBN: UOM:39015046538230

Category: Mathematics

Page:

View: 715

Categories: Mathematics

Books in Print Supplement

Books in Print Supplement

Author:

Publisher:

ISBN: STANFORD:36105025888426

Category: American literature

Page:

View: 989

Includes authors, titles, subjects.
Categories: American literature

The Cumulative Book Index

The Cumulative Book Index

Author:

Publisher:

ISBN: STANFORD:36105117840913

Category: American literature

Page:

View: 957

A world list of books in the English language.
Categories: American literature