Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2020
- DOI:
- 10.48550/arXiv.2009.09311
- arXiv:
- arXiv:2009.09311
- Bibcode:
- 2020arXiv200909311G
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Computer Science - Information Theory;
- 14G50
- E-Print:
- major changes