Skip to Main content Skip to Navigation
New interface
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
Contributor : Régis Blache Connect in order to contact the contributor
Submitted on : Thursday, March 21, 2019 - 5:15:42 PM
Last modification on : Tuesday, October 25, 2022 - 11:58:11 AM
Long-term archiving on: : Saturday, June 22, 2019 - 3:51:07 PM


Files produced by the author(s)



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, 2020, ⟨10.1090/tran/8119⟩. ⟨hal-02075926⟩



Record views


Files downloads