Corpus ID: 236447809

On decoding hyperbolic codes

@article{CampsMoreno2021OnDH,
  title={On decoding hyperbolic codes},
  author={Eduardo Camps-Moreno and Ignacio Garc'ia-Marco and H. L'opez and Irene M'arquez-Corbella and E. Mart'inez-Moro and Eliseo Sarmiento},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.12594}
}
Few decoding algorithms for hyperbolic codes are known in the literature, this article tries to fill this gap. The first part of this work compares hyperbolic codes and ReedMuller codes. In particular, we determine when a Reed-Muller code is a hyperbolic code. As a byproduct, we state when a hyperbolic code has greater dimension than a Reed-Muller code when they both have the same minimum distance. We use the previous ideas to describe how to decode a hyperbolic code using the largest Reed… Expand

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