An extension of the order bound for AG codes

  title={An extension of the order bound for AG codes},
  author={Iwan M. Duursma and R. Kirov},
  journal={arXiv: Number Theory},
  • Iwan M. Duursma, R. Kirov
  • Published 2009
  • Mathematics, Computer Science
  • arXiv: Number Theory
  • 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. We provide a significant extension of the bound that improves the order bounds by Beelen and by Duursma and Park. We include an exhaustive numerical comparison of the different bounds for 10168 two-point codes on the Suzuki curve of genus g=124 over the field of 32 elements. Keywords: algebraic geometric code, order bound, Suzuki… CONTINUE READING
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