In this work, we present new constructions for topological subsystem codes using semi-regular Euclidean and hyperbolic tessellations. They give us new families of codes, and we also provide a new family of codes obtained through an already existing construction, due to Sarvepalli and Brown. We also prove new results that allow us to obtain the parameters of these new codes.

翻译：本文中，我们提出利用半正则欧几里得镶嵌与双曲镶嵌构造拓扑子系统码的新方法。这些构造生成了新的码族，同时我们基于Sarvepalli和Brown的现有构造，也得到了一个新的码族。此外，我们证明了若干新结果，使得这些新码的参数得以确定。