Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583211 | Finite Fields and Their Applications | 2007 | 11 Pages |
Abstract
In this paper we construct some algebraic geometric error-correcting codes on surfaces whose Néron–Severi group has low rank. If the Néron–Severi group is generated by an effective divisor, the intersection of this surface with an irreducible surface of lower degree will be an irreducible curve, and this makes possible the construction of codes with good parameters. Such surfaces are not easy to find, but we are able to find surfaces with low rank, and those will give us good codes too.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory