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date_dt : 2010-01-27 | date_dt : 2010-01-27 | ||
title : The parameters of duals of algebraic geometric codes on surfaces | title : The parameters of duals of algebraic geometric codes on surfaces | ||
- | speaker : Alain Couvreur | + | speaker : Dr. Alain Couvreur |
- | affiliation : Institut de Mathématiques de Luminy. | + | affiliation : INRIA. |
time : 16h15 | time : 16h15 | ||
room : BC129 | room : BC129 | ||
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==== abstract ==== | ==== abstract ==== | ||
- | It is well-known in the theory of codes on curves that the dual of an | + | It is well-known in the theory of codes on curves that the dual of an |
algebraic-geometric code on a curve is an algebraic-geometric code on | algebraic-geometric code on a curve is an algebraic-geometric code on | ||
the same curve. It turns out that this property does not hold in general | the same curve. It turns out that this property does not hold in general | ||
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duals of algebraic geometric codes on higher-dimensional varieties. | duals of algebraic geometric codes on higher-dimensional varieties. | ||
- | In this talk, after a brief review on the classical properties of codes | + | In this talk, after a brief review on the classical properties of codes |
on curves, we will focus on the problem of finding the parameters of | on curves, we will focus on the problem of finding the parameters of | ||
duals of codes on surfaces. A method yielding a lower bound for the | duals of codes on surfaces. A method yielding a lower bound for the |