Topstuff - Notes on Coding Theory J.I.Hall Department of...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Notes on Coding Theory J.I.Hall Department of Mathematics Michigan State University East Lansing, MI 48824 USA 9 September 2010
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ii Copyright c ± 2001-2010 Jonathan I. Hall
Background image of page 2
Preface These notes were written over a period of years as part of an advanced under- graduate/beginning graduate course on Algebraic Coding Theory at Michigan State University. They were originally intended for publication as a book, but that seems less likely now. The material here remains interesting, important, and useful; but, given the dramatic developments in coding theory during the last ten years, significant extension would be needed. *** concatenated codes, erasure correcting, LDPC codes, iterative decoding, codes on graphs, Viterbi, turbo-codes *** The oldest sections are in the Appendix and are over ten years old, while the newest are in the last two chapters and have been written within the last year. The long time frame means that terminology and notation may vary somewhat from one place to another in the notes. (For instance, Z p , Z p , and F p all denote a field with p elements, for p a prime.) There is also some material that would need to be added to any published version. This includes the graphs toward the end of Chapter 2, an index, and in-line references. You will find on the next page a list of the reference books that I have found most useful and helpful as well as a list of introductory books (of varying emphasis, difficulty, and quality). These notes are not intended for broad distribution. If you want to use them in any way, please contact me. Please feel free to contact me with any remarks, suggestions, or corrections: [email protected] For the near future, I will try to keep an up-to-date version on my web page: www.math.msu.edu\~jhall Jonathan I. Hall 3 August 2001 The notes were partially revised in 2002. A new chapter on weight enumeration iii
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
iv PREFACE was added, and parts of the algebra appendix were changed. Some typos were fixed, and other small corrections were made in the rest of the text. I particularly
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/13/2011 for the course CRYPTO 101 taught by Professor Na during the Spring '11 term at Harding.

Page1 / 8

Topstuff - Notes on Coding Theory J.I.Hall Department of...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online