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Coset bounds for algebraic geometric codes
- Issue Date
- Jan-2010
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Algebraic geometric code; Floor bound; Linear secret sharing; Order bound
- Citation
- FINITE FIELDS AND THEIR APPLICATIONS, v.16, no.1, pp 36 - 55
- Pages
- 20
- Journal Title
- FINITE FIELDS AND THEIR APPLICATIONS
- Volume
- 16
- Number
- 1
- Start Page
- 36
- End Page
- 55
- ISSN
- 1071-5797
1090-2465
- 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. (C) 2009 Elsevier Inc. All rights reserved.
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