Wednesday, September 28
Milner 317, 12:30 PM
Title: Error-correcting codes on low rank surfaces
Abstract: Inspired by the construction made by Goppa on curves, we present some error-correcting codes on algebraic surfaces. A surface whose Neron-Severi group has rank 1 has a "nice" intersection property that allows us the construction of a good code. We will verify this on specific examples. Surfaces with many points and rank 1 are not easy to find. We were able, though, to find surfaces with low rank and many points, and these will give us good codes too.