We obtain certain algebraic invariants relevant in studying codes on subgroups of weighted projective tori inside an n-dimensional weighted projective space. As application, we compute all the main parameters of generalized toric codes on these subgroups of tori lying inside a weighted projective plane of the form \({\mathbb {P}}(1,1,a)\).

中文翻译：

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加权射影环面子群的代码

我们获得了与研究n维加权射影空间内的加权射影环面子群的代码相关的某些代数不变量。作为应用，我们计算位于\({\mathbb {P}}(1,1,a)\)形式的加权投影平面内的这些环面子群上的广义环面码的所有主要参数。