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en:group:seminars:20100127 [2010/01/14 12:29]
meyer
en:group:seminars:20100127 [2016/06/23 11:26]
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----- dataentry seminar ---- 
-date_dt : 2010-01-27 
-title : The parameters of duals of algebraic geometric codes on surfaces 
-speaker : Dr. Alain Couvreur 
-affiliation : INRIA. 
-time : 16h15 
-room : BC129 
-table : seminars 
-=================== 
-template:​datatemplates:​seminar 
------------------------ 
- 
- 
-==== abstract ==== 
-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 
-the same curve. It turns out that this property does not hold in general 
-when the curve is replaced by an higher dimensional variety. This 
-observation motivates the study of this new class of codes which are the 
-duals of algebraic geometric codes on higher-dimensional varieties. 
- 
-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 
-duals of codes on surfaces. A method yielding a lower bound for the 
-minimum distance of such codes will be presented. This method, based on 
-the use of differential 2-forms and intersection theory on surfaces, 
-turns to be efficient provided the Picard Number of the surface is 
-small.