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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.
Cited literature [26 references]
https://hal.archives-ouvertes.fr/hal-02075926
Contributor : Régis Blache Connect in order to contact the contributor
Submitted on : Thursday, March 21, 2019 - 5:15:42 PM
Last modification on : Wednesday, September 14, 2022 - 5:42:26 PM
Long-term archiving on: : Saturday, June 22, 2019 - 3:51:07 PM
Contributor : Régis Blache Connect in order to contact the contributor
Submitted on : Thursday, March 21, 2019 - 5:15:42 PM
Last modification on : Wednesday, September 14, 2022 - 5:42:26 PM
Long-term archiving on: : Saturday, June 22, 2019 - 3:51:07 PM
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AnticanonicalCodesFinal_3.pdf
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