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Sinopsis
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.
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Críticas
From the reviews: "This is a new edition of a well-known and widely used book of van Lint. We can only applaud for the new appearance. [...] I think this textbook will continue to be one of the most favourite textbooks of coding theory." Acta Scient.Math. 67, p.882, 2001 From the reviews: "The 2nd (slightly enlarged) edition of the van Lint's book is a short, concise, mathematically rigorous introduction to the subject. Basic notions and ideas are clearly presented from the mathematician's point of view and illustrated on various special classes of codes...This nice book is a must for every mathematician wishing to introduce himself to the algebraic theory of coding." European Mathematical Society Newsletter, 1993 "Despite the existence of so many other books on coding theory, this present volume will continue to hold its place as one of the standard texts...." The Mathematical Gazette, 1993 J.H. van Lint Introduction to Coding Theory "Despite the existence of so many other books on coding theory, this present volume will continue to hold its place as one of the standard texts."a "THE MATHEMATICAL GAZETTE
Reseña del editor
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.
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- EditorialSpringer
- Año de publicación1998
- ISBN 10 3540641335
- ISBN 13 9783540641339
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas252
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Introduction to Coding Theory (Graduate Texts in Mathematics, 86)
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Introduction to Coding Theory
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Introduction to Coding Theory
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Dura. Condición: New. Estado de la sobrecubierta: Nuevo. No Aplica Ilustrador. 3. The previous edition of this book has long been considerted one of the classical introductions to an important area in the fields of information theory and discrete mathematics - an area that continues to grow in importance with the growth of applications of mathematics in computer science and in industry. After a brief review of the prerequisite mathematics, the book is divided into two parts. The first six chapters provide a rigorous mathematical introduction to coding theory. The remaining five chapters introduce the reader to various special topics such as algebraic geometry codes. These can serve as a text for a second semester course on coding theory, as supplementary reading, or as an introduction to the technical literature. Excercises with complete solutions are provided. 460 gr. Libro. Nº de ref. del artículo: 9783540641339LEA19626
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Introduction to Coding Theory
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 252 pp. Englisch. Nº de ref. del artículo: 9783540641339
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