An Introduction to Coding Theory: Lecture Notes Vladimir D. Tonchev Department of Mathematical Sciences Michigan Technological University Houghton, Michigan 49931, USA

The aim of this book is to provide an elementary treatment of the theory of error-correcting codes, assuming no more than high school mathematics and the ability to carry out matrix arithmetic.

Preface irst course in coding theory. It is based on a course that is taught for several years at the Eindh ven University of Technology. The students that follow this course are mostly in the third …

This book places emphasis on the algorithms for encoding and decoding and their architectures, as well as the applications of the corresponding coding schemes in a unified framework. The …

The topics in this packet were chosen for their importance to developing the major concepts of coding theory and also for their relevance to a course in abstract algebra.

3. Shannon's Theorem that has become one of the fun-damental theorems of coding theory. The theorem basically states that error free transmission of codes is possible within maximum rate …

This book is based on lecture notes from coding theory courses taught by Venkatesan Gu- ruswami at University at Washington and CMU; by Atri Rudra at University at Buffalo, SUNY …

In this course we will focus on algebraic questions, but will talk a little about the more practical side of codes as well. One of the amazing things about the subject is the extensive …

Scribe notes are latex transcriptions by students as part of class work. Scribe notes are used with permission of the students named.

The course deals with the basics of the theory of error-correcting codes, and is intended for students in the graduate and upper-undergraduate levels from Computer Science, Electrical …