Nots on Coding Theory

mickey110

Notes on Coding Theory
J.I.Hall
Department of Mathematics
Michigan State University
East Lansing, MI 48824 USA
3 January 2003

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.

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, Zp, Zp,and Fp all denote a field with p elements, for p aprime.)

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.

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game_over

thanks a lot