Product Description: These notes are based on lectures given in the semmar on "Coding Theory and Algebraic Geometry" held at Schloss Mickeln, Diisseldorf, November 16-21, 1987. In 1982 Tsfasman, Vladut and Zink, using algebraic geometry and ideas of Goppa, constructed a seqeunce of codes that exceed the Gilbert-Varshamov bound...read more

Product Description: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R...read more

An introduction to the theory of error-correction codes, and in particular to linear block codes is provided in this book. It considers such codes as Hamming codes and Golay codes, correction of double errors, use of finite fields, cyclic codes, BCH codes and weight distributions, as well as design of codes. In this second edition, the author includes more material on non-binary code and cyclic codes. In addition some proofs have been simplified and there are many more examples and problems. The text has been aimed at mathematicians, electrical engineers and computer scientists. (view table of contents)

Product Description: This new title is based on papers presented at The Conference on Cryptography and Coding, the first such conference to bring together mathematicians working in both cryptography and coding theory. It is a "hands-on" volume that provides a state-of-the-art account of mathematical research in these closely inter-related areas, one that will enable readers to produce and store information efficiently, securely, and cost-effectively...read more

Product Description: This book contains a selection of papers presented at a Symposium on coding theory: "3 Journées sur le Codage", held November 24-26, 1986, in Cachan near Paris, France. It gives an account of the state of the art of research in France on Coding, ranging from rather theoretical topics like algebraic geometry and combinatorial coding to applications like modulation, real-space decoding and implementation of coding algorithms on microcomputers...read more

Product Description: The general problem studied by information theory is the reliable transmission of information through unreliable channels. Channels can be unreliable either because they are disturbed by noise or because unauthorized receivers intercept the information transmitted...read more

Product Description: Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods...read more (view table of contents, read Amazon.com's description)

Product Description: coding techniques for digital recorders

Product Description: 'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non sense'...read more

Product Description: Communication is the most complex and elevating achievement of human beings. Most people spend up to 70 percent of our waking hours engaged in some form of communication. Listening and responding to the messages of others occupies much of this time; the rest is taken up by talking, reading, and writing...read more

Product Description: This book presents a selection of the papers presented at EUROCODE '90, the symposium on coding theory held in Udine, Italy, November 1990. It gives the state of the art on coding in Europe and ranges from theoretical top- ics like algebraic geometry and combinatorial coding to applications like modulation, real-space decoding and VLSI implementation...read more

Product Description: Book by Hoffman, D. G., Leonard, D.A., Lidner, C.C., Phelps, K.T., Rodger, C.A., Wal

Product Description: Algorithms for computation are a central part of both digital signal pro­ cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations...read more

Product Description: This is the first exposition of the theory of quasi-symmetric designs, that is, combinatorial designs with at most two block intersection numbers. The authors aim to bring out the interaction among designs, finite geometries, and strongly regular graphs...read more (view table of contents, read Amazon.com's description)

Product Description: Concerned with the twin crafts of secret writing and information integrity, cryptography and coding theory are closely related disciplines which have evolved very rapidly in the last decade. This volume brings together leading research in these fields, with an emphasis on the application of discrete mathematics to problems in computing and electronic engineering...read more

Product Description: This volume presents the proceedings of the first French-Soviet workshop on algebraic coding, held in Paris in July 1991. The idea for the workshop, born in Leningrad (now St. Petersburg) in 1990, was to bring together some of the best Soviet coding theorists...read more

This book provides the reader with all the tools necessary to implement modern error-processing techniques. It 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 which motivate and explain the theory. The book is in four parts. The first introduces the basic ideas of coding theory. The second and third parts cover the theory of finite fields and give a detailed treatment of BCH and Reed-Solomon codes. These parts are linked by their use of Euclid's algorithm as a central technique. The fourth part is devoted to Goppa codes, both classical and geometric, concluding with the Skorobogatov-Vladut error processor. A special feature of this part is a simplified (but rigorous) treatment of the geometry of curves. The book is intended for the advanced instruction of engineers and computer scientists. (view table of contents)

Product Description: 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...read more (view table of contents, read Amazon.com's description)