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Hiram Lopez – Clemson University
September 19, 2016 @ 4:30 pm - 5:30 pm
Linear codes using basic tools of commutative algebra
In this talk we are going to give an introduction to linear codes and we will see how they are applied. Then we introduce the linear codes known as evaluation codes. We are interested in this sort of codes because its parameters can be computed using basic tools of commutative algebra, and we will see how to do it.
The family of evaluation codes mainly depends on an affine or a projective set, thus we are going present some examples using different families of affine and projective points.
Finally, we are going to use the ideas of evaluation codes to define purely algebraic concepts.