Title
Delta sets for divisors supported in two points.
Abstract
In Duursma and Park (2010) [7], the authors formulate new coset bounds for algebraic geometric codes. The bounds give improved lower bounds for the minimum distance of algebraic geometric codes as well as improved thresholds for algebraic geometric linear secret sharing schemes. The bounds depend on the delta set of a coset and on the choice of a sequence of divisors inside the delta set. In this paper we give general properties of delta sets and we analyze sequences of divisors supported in two points on Hermitian and Suzuki curves.
Year
DOI
Venue
2012
10.1016/j.ffa.2012.06.005
Finite Fields and Their Applications
Keywords
Field
DocType
94B27,14G50,94A62,94B05
Delta,Discrete mathematics,Algebraic geometric,Combinatorics,Secret sharing,Algebra,Divisor,Delta set,Coset,Hermitian matrix,Mathematics
Journal
Volume
Issue
ISSN
18
5
1071-5797
Citations 
PageRank 
References 
1
0.37
13
Authors
2
Name
Order
Citations
PageRank
Iwan M. Duursma127926.85
Seungkook Park2433.47