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Maseeh Mathematics & Statistics Colloquium with Dr. Jeffrey Thunder
Friday, April 21, 2017 - 3:15pm

The Maseeh Mathematics and Statistics Colloquium Series*
Jeffrey Thunder, Ph.D.
Northern Illinois University

An application of number theory to coding

Most codes in use today are linear codes (subsets of vector spaces over a finite field), the theory of which is essentially the domain of algebra and geometry. Here we will consider an application of a particular area of number theory, Diophantine geometry, to the subject of non-linear codes. We will discuss the non-linear codes under consideration and also the techniques borrowed from number theory which apply. We will see how these techniques may be used to prove that, in a fairly concrete sense, these codes have excellent transmission and error detection rates in comparison to linear codes.

Friday, April 21st at 3:15pm
Neuberger Hall room 454
(Refreshments served at 2:45PM in NH 344)

* Sponsored by the Maseeh Mathematics and Statistics Colloquium Series Fund and the Fariborz Maseeh Department of Mathematics & Statistics, PSU. This event is free and open to the public.