Article ID Journal Published Year Pages File Type
4583294 Finite Fields and Their Applications 2010 20 Pages PDF
Abstract

We develop new coset bounds for algebraic geometric codes. The bounds have a natural interpretation as an adversary threshold for algebraic geometric secret sharing schemes and lead to improved bounds for the minimum distance of an AG code. Our bounds improve both floor bounds and order bounds and provide for the first time a connection between the two types of bounds.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory