Abstract | ||
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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. Duursma | 1 | 279 | 26.85 |
Seungkook Park | 2 | 43 | 3.47 |