Skip to Main content Skip to Navigation
Journal articles

Anticanonical codes from del Pezzo surfaces with Picard rank one

Abstract : 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 codetable.
Complete list of metadata

Cited literature [26 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02075926
Contributor : Régis Blache <>
Submitted on : Thursday, March 21, 2019 - 5:15:42 PM
Last modification on : Thursday, June 10, 2021 - 3:47:40 AM
Long-term archiving on: : Saturday, June 22, 2019 - 3:51:07 PM

Files

AnticanonicalCodesFinal_3.pdf
Files produced by the author(s)

Identifiers

Citation

Régis Blache, Alain Couvreur, Emmanuel Hallouin, David Madore, Jade Nardi, et al.. Anticanonical codes from del Pezzo surfaces with Picard rank one. Transactions of the American Mathematical Society, American Mathematical Society, 2020, ⟨10.1090/tran/8119⟩. ⟨hal-02075926⟩

Share

Metrics

Record views

370

Files downloads

440