标题： 线性与群完美码在斜域和拟斜域上 显示英文标题

标题： Linear and group perfect codes over skew fields and quasi skew fields

摘要： 在本文中，我们提出了一种在无限斜域和右（左）单位的拟斜域上线性完美码的一般构造方法。 给出了在结合斜域上此类码的完整分类。 由于所考虑的斜域的基数是无限的，所构造的码具有无限长度。 在之前的工作中，我们考虑了在无限可数域上的码，其长度也是可数的。 我们现在去除这一限制，考虑斜域的基数和码的长度可以是任意的（不一定是可数的）。 显示英文摘要

摘要： In this paper, we propose a general construction of linear perfect codes over infinite skew fields and quasi skew fields with right (left) unity. A complete classification of such codes over associative skew fields is given. Since the cardinality of the considered skew fields is infinite, the constructed codes have an infinite length. In the previous work, we considered codes over infinite countable fields, the length of which was also countable. We now remove this restriction and consider that the cardinality of the skew field and the length of the codes can be arbitrary (not necessarily countable).