Optimal rate list decoding of folded algebraic-geometric codes over constant-sized alphabets

@article{Guruswami2013OptimalRL,
  title={Optimal rate list decoding of folded algebraic-geometric codes over constant-sized alphabets},
  author={Venkatesan Guruswami and Chaoping Xing},
  journal={Electronic Colloquium on Computational Complexity (ECCC)},
  year={2013},
  volume={20},
  pages={46}
}
We construct a new list-decodable family of asymptotically good algebraic-geometric (AG) codes over fixed alphabets. The function fields underlying these codes are constructed using class field theory, specifically Drinfeld modules of rank 1, and designed to have an automorphism of large order that is used to “fold” the AG code. This generalizes earlier work by the first author on folded AG codes based on cyclotomic function fields. The recent linear-algebraic approach to list decoding can be… CONTINUE READING

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