Construction and decoding of a class of algebraic geometry codes

@article{Justesen1989ConstructionAD,
  title={Construction and decoding of a class of algebraic geometry codes},
  author={J\orn Justesen and Knud J. Larsen and Helge Elbr\ond Jensen and Allan Havemose and Tom H\oholdt},
  journal={IEEE Trans. Information Theory},
  year={1989},
  volume={35},
  pages={811-821}
}
We construct a class of codes derived from algebraic plane curves. The concepts and results from algebraic geometry we use are explained in detail, and no further knowledge of algebraic geometry is needed. Parameters, generator and parity-check matrices are given. The main result is a decoding algorithm which turns out to be a generalization of the Peterson algorithm for decoding BCH codes. 
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