Logo - springer
Slogan - springer

Mathematics - Number Theory and Discrete Mathematics | Coding and Information Theory

Coding and Information Theory

Series: Graduate Texts in Mathematics, Vol. 134

Roman, Steven

1992, XVIII, 488 p.


Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

(net) price for USA

ISBN 978-0-387-97812-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • About this textbook

This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.

Content Level » Lower undergraduate

Keywords » CON_D024

Related subjects » Number Theory and Discrete Mathematics - Theoretical Computer Science

Table of contents 

1: Entropy. 2: Noisless Coding. 3: Noisy Coding. 4: General Remarks on Codes. 5: Linear Codes. 6: Some Linear Codes. 7: Finite Fields and Cyclic Codes. 8: Some Cyclic Codes.

Popular Content within this publication 



Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Number Theory.