Coset bounds for algebraic geometric codes

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.

• Type: Journal
• Year: 2010
• Where: FFA
• Authors: Iwan M. Duursma, Seungkook Park
• Keywords: Algebraic Geometric Codes, Algebraic Geometric Secret, FFA 2010, Order Bounds