Error-correcting codes on low rank surfaces

In this paper we construct some algebraic geometric error-correcting codes on surfaces whose Neron-Severi group has low rank. If the rank of the Neron-Severi group is 1, 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. Rank 1 surfaces are not easy to find, but we are able to find surfaces with low rank, and those will give us good codes too.

• Type: Journal
• Year: 2007
• Where: FFA
• Authors: Marcos Zarzar
• Keywords: FFA 2007, Geometric Error-correcting Codes, Low Rank, Neron-Severi Group