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Introduction to coding theory / J.H. van Lint

Lint, Jacobus Hendricus van.
Material type: materialTypeLabelBook; Format: print Series: Graduate texts in mathematics ; 86.Publisher: Berlin : Springer, 1999Edition: 3ª ed. rev. and expanded.Description: XIV, 227 p. ; 24 cm.ISBN: 978-3-540-64133-9.Subject(s): Codificación, Teoría de la
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Manuales (7 días) 02. BIBLIOTECA CAMPUS PUERTO REAL
519.72/LIN/int (Browse shelf)   Shelving location | Bibliomaps® BIBLIOG. RECOM. 3743044052

CÓDIGOS Y CRIPTOGRAFÍA GRADO EN MATEMATICAS Asignatura actualizada 2017-2018

Monografías 02. BIBLIOTECA CAMPUS PUERTO REAL
519.72/LIN/int (Browse shelf) Checked out PREST. LIBROS 31/01/2020 3742087507
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Enhanced descriptions from Syndetics:

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.

Indice

Bibliografía: p. [218]-222

Índice: Mathematical background. Shannon's theorem. Linear codes. Some good codes. Bounds on codes. Cyclic codes. Perfect codes and uniformly packed codes. Codes over Z4. Goppa codes. Algebraic geometry codes. Asymptotically goods algebraic codes. Arithmetic codes. Convolutional codes.

Table of contents provided by Syndetics

  • Preface to the Third Edition
  • Preface to the Second Edition
  • Preface to the First Edition
  • Mathematical Background
  • Shannon's Theorem
  • Linear Codes
  • Some Good Codes
  • Bounds on Codes
  • Cyclic Codes
  • Perfect Codes and Uniformly Packed Codes
  • Codes over Z(4)
  • Goppa Codes
  • Algebraic Geometry Codes
  • Asymptotically Good Algebraic Codes
  • Arithmetic Codes
  • Convolutional Codes

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