Parameters of AG codes from vector bundles. (English) Zbl 1278.94091
Summary: We investigate the parameters of the algebraic-geometric codes constructed from vector bundles on a projective variety defined over a finite field. In the case of curves we give a method of constructing weakly stable bundles using restriction of vector bundles on algebraic surfaces and illustrate the result by some examples.
MSC:
| 94B27 | Geometric methods (including applications of algebraic geometry) applied to coding theory |
| 14H60 | Vector bundles on curves and their moduli |
| 14J60 | Vector bundles on surfaces and higher-dimensional varieties, and their moduli |
Keywords:
algebraic-geometric codes; vector bundles; projective variety over finite field; curves; algebraic surfacesReferences:
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