Multi-point codes over Kummer extensions

@article{Hu2016MultipointCO,
  title={Multi-point codes over Kummer extensions},
  author={Chuangqiang Hu and Shudi Yang},
  journal={Designs, Codes and Cryptography},
  year={2016},
  volume={86},
  pages={211-230}
}
This paper is concerned with the construction of algebraic geometric codes defined from Kummer extensions. It plays a significant role in the study of such codes to describe bases for the Riemann–Roch spaces associated with totally ramified places. Along this line, we present an explicit characterization of Weierstrass semigroups and pure gaps. Additionally, we determine the floor of a certain type of divisor introduced by Maharaj, Matthews and Pirsic. Finally, we apply these results to find… 

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