• Corpus ID: 239050025

How arithmetic and geometry make error correcting codes better

@article{Couvreur2021HowAA,
  title={How arithmetic and geometry make error correcting codes better},
  author={Alain Couvreur},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.11282}
}
. — This note completes a talk given at the conference Curves over Finite Fields: past, present and future celebrating the publication the book Rational Points on Curves over Finite Fields by J.-P. Serre and organised at Centro de ciencias de Benasque in june 2021. It discusses a part of the history of algebraic geometry codes together with some of their recent applications. A particular focus is done on the “multiplicative” structure of these codes, i.e. their behaviour with respect to the…