Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol
Algebraic Geometry
2024-02-07 v3 Information Theory
math.IT
Abstract
We give a new construction of linear codes over finite fields on higher dimensional varieties using Grothendieck's theory of residues. This generalizes the construction of differential codes over curves to varieties of higher dimensions.
Keywords
Cite
@article{arxiv.2009.09311,
title = {Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol},
author = {David Grant and John D. Massman and III and S. Srimathy},
journal= {arXiv preprint arXiv:2009.09311},
year = {2024}
}
Comments
major changes; new contents; final version