Sums of residues on algebraic surfaces and application to coding theory
Algebraic Geometry
2010-08-24 v1 Information Theory
math.IT
Abstract
In this paper, we study residues of differential 2-forms on a smooth algebraic surface over an arbitrary field and give several statements about sums of residues. Afterwards, using these results we construct algebraic-geometric codes which are an extension to surfaces of the well-known differential codes on curves. We also study some properties of these codes and extend to them some known properties for codes on curves.
Keywords
Cite
@article{arxiv.0810.4112,
title = {Sums of residues on algebraic surfaces and application to coding theory},
author = {Alain Couvreur},
journal= {arXiv preprint arXiv:0810.4112},
year = {2010}
}
Comments
31 pages