AG codes from vector bundles

Authors:
Tohru Nakashima
Affiliations:
Department of Mathematical and Physical Sciences, Faculty of Science, Japan Women's University, Tokyo, Japan 112-8681
Venue:
Designs, Codes and Cryptography
Year:
2010

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Abstract

We discuss the properties of algebraic-geometric codes defined by a vector bundle on a curve X over a finite field. We investigate the correction capacities of the codes defined from vector bundles constructed by means of finite coverings of X.