Multi-point Codes from the GGS Curves

@article{Hu2017MultipointCF,
  title={Multi-point Codes from the GGS Curves},
  author={Chuangqiang Hu and Shudi Yang},
  journal={CoRR},
  year={2017},
  volume={abs/1706.00313}
}
This paper is concerned with the construction of algebraic geometric codes defined from GGS curves. It is of significant use to describe bases for the Riemann-Roch spaces associated to some totally ramified places, which enables us to study multi-point AG codes. Along this line, we characterize explicitly the Weierstrass semigroups and pure gaps by an exhaustive computation of the basis for Riemann-Roch spaces from GGS curves. Additionally, we determine the floor of a certain type of divisor… CONTINUE READING
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