当前位置: X-MOL 学术Trans. Am. Math. Soc. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Anticanonical codes from del Pezzo surfaces with Picard rank one
Transactions of the American Mathematical Society ( IF 1.3 ) Pub Date : 2020-05-26 , DOI: 10.1090/tran/8119
Régis Blache , Alain Couvreur , Emmanuel Hallouin , David Madore , Jade Nardi , Matthieu Rambaud , Hugues Randriam

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.

中文翻译:

来自德尔佩佐表面的反规范代码,皮卡德等级为 1

我们从 del Pezzo 表面构造代数几何代码,并专注于具有 Picard 等级 1 的代码和与反规范类相关的代码。我们给出了 4、5 和 6 次 del Pezzo 曲面的显式构造,计算相关反规范代码的参数并研究它们由表面自同构引起的同构。我们获得了具有出色参数的代码,其中一些结果击败了数据库代码表中列出的最著名的代码。
更新日期:2020-05-26
down
wechat
bug