# Introduction to Coding Theory Interesting properties and projects related to Hamming codes are introduced.

## - Introduction to Coding Theory, Winter - Syllabus

Faculty Publications. Abstract The theory of error-correcting codes is a relatively recent application of mathematics to information and communication systems. For example, regarding a main theorem about the geometry of codes, that the weight of a codeword in a linear code is determined by the number of points in a particular set, Bierbrauer writes, "It is harder to write down this theorem than to prove it.

1. Companion to Concrete Mathematics: Vol. I: Mathematical Techniques and Various Applications.
2. Introduction to Coding Theory.
3. Mathematical Writing (Springer Undergraduate Mathematics Series);
5. Britain’s Imperial Century, 1815–1914: A Study of Empire and Expansion.

It is the charm of the geometric description of linear codes that it gives a completely different angle under which to view th construction problem. What we need are sets or multisets of points in projective geometry which are in some sense uniformly distributed: no hyperplane contains very many of our points, in other words: outside every hyperplane we always need to find sufficiently many points. The content of the book also impressed me.

In Part II of the book, I was engaged by a range of topics which were mostly unfamiliar to me, a non-expert. Quite intruiging!

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## ISBN 13: 9780521845045

Trace codes, orthogonal array, tms nets That leads to perhaps the only drawback I can see to mention. The emphasis on applications seems to be largely in the second part of the book, where those readers in a one semester course may not find them.

Turbo Codes

Michele Intermont intermon kzoo. Her area of specialty is algebraic topology.

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