2009 | OriginalPaper | Buchkapitel
An Extension of the Order Bound for AG Codes
verfasst von : Iwan Duursma, Radoslav Kirov
Erschienen in: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Verlag: Springer Berlin Heidelberg
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The most successful method to obtain lower bounds for the minimum distance of an algebraic geometric code is the order bound, which generalizes the Feng-Rao bound. By using a finer partition of the set of all codewords of a code we improve the order bounds by Beelen and by Duursma and Park. We show that the new bound can be efficiently optimized and we include a numerical comparison of different bounds for all two-point codes with Goppa distance between 0 and 2
g
− 1 for the Suzuki curve of genus
g
= 124 over the field of 32 elements.