Introduction to Coding Theory(15); Application of Coding Theory Satellite Communication.

Introduction to coding theory

Error-correcting codes constitute one of the key ingredients in achieving the high degree of reliability required in modern data transmission and storage systems. This book introduces the reader to the theoretical foundations of error-correcting codes, with an emphasis on Reed–Solomon codes and their derivative codes. After reviewing linear codes and finite fields, the author describes Reed–Sol...

Introduction to Algebraic Coding Theory

4 Ideals and cyclic codes 18 4.1 Ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4.2 Cyclic codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.3 Group of a code . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 4.4 Minimal polynomials . . . . . . . . . . . . . . . . . . . . . . . . . 24 4.5 BCH and Reed-Solomon codes . . . . . . . . . . ....

Introduction to Algebraic Coding Theory

∗The first versions of this book were written in Fall 2001 and June 2002 at Cornell University, respectively supported by an NSF VIGRE Grant and a Department of Mathematics Grant. The current version was written in 2005 at Franklin W. Olin College of Engineering supported by NSF CCLI DUE-0410517 Grant. Edits were made in 2006 under the same grant. If you wish to use this book, please simply let...

Introduction to Coding Theory Lecture

These are lecture notes for an advanced undergraduate (and beginning graduate) course in Coding Theory in the Computer Science Department at Bar-Ilan University. These notes contain the technical material covered but do not include much of the motivation and discussion that is given in the lectures. It is therefore not intended for self study, and is not a replacement for what we cover in class...

Communication: On the Application of Coding Theory to Hashing