Anticanonical codes from del Pezzo surfaces with Picard rank one

@article{Blache2019AnticanonicalCF,
  title={Anticanonical codes from del Pezzo surfaces with Picard rank one},
  author={R. Blache and A. Couvreur and Emmanuel Hallouin and David Madore and Jade Nardi and Matthieu Rambaud and Hugues Randriam},
  journal={ArXiv},
  year={2019},
  volume={abs/1903.09397}
}
  • R. Blache, A. Couvreur, +4 authors Hugues Randriam
  • Published 2019
  • Mathematics, Computer Science
  • ArXiv
  • We construct algebraic geometric codes from del Pezzo surfaces and focus on the ones having Picard rank one and the codes associated to the anticanonical class. We give explicit constructions of del Pezzo surfaces of degree 4, 5 and 6, compute the parameters of the associated anticanonical codes and study their isomorphisms arising from the automorphisms of the surface. We obtain codes with excellent parameters and some of them turn out to beat the best known codes listed on the database… CONTINUE READING
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