Error correcting codes over algebraic surfaces

Authors:
Thanasis Bouganis
Affiliations:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
Venue:
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
Year:
2003

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Abstract

We study error correcting codes over algebraic surfaces. We give a construction of linear error correcting codes over an arbitrary algebraic surface and then we focus on linear codes over ruled surfaces. At the end we discuss another approach to getting codes over algebraic surfaces using sections of rank two bundles. The new codes are not linear but do have a group structure.