We obtain certain algebraic invariants relevant to study 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 $\Pp(1,1,a)$.

翻译：我们获得了与n维加权射影空间中加权射影环面子群上码的研究相关的某些代数不变量。作为应用，我们计算了位于形如$\Pp(1,1,a)$的加权射影平面内的这些环面子群上广义环面码的所有主要参数。