Title
Coset bounds for algebraic geometric codes
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.
Year
DOI
Venue
2010
10.1016/j.ffa.2009.11.006
Finite Fields and Their Applications
Keywords
Field
DocType
minimum distance,improved bound,adversary threshold,algebraic geometric secret sharing,order bound,new coset bound,algebraic geometric code,natural interpretation,floor bound,ag code,secret sharing,algebraic geometry,lower bound,number theory
Discrete mathematics,Algebraic geometric,Combinatorics,Secret sharing,Algebra,Coset,Mathematics
Journal
Volume
Issue
ISSN
16
1
1071-5797
Citations 
PageRank 
References 
19
1.21
20
Authors
2
Name
Order
Citations
PageRank
Iwan M. Duursma127926.85
Seungkook Park2433.47