论文标题
在循环指数和重量枚举者II上
On the cycle index and the weight enumerator II
论文作者
论文摘要
在上一篇论文中，第二名和第三名作者介绍了完整周期索引的概念，并讨论了与编码理论中的完整权重枚举者的关系。在本文中，我们介绍了完整的关节循环指数和平均完整的关节周期指数的概念，并在编码理论中分别与完整的关节重量枚举者和平均完整关节枚举者进行了讨论。此外，给出了平均交叉数字的概念，我们讨论了与编码理论中平均相交数字的关系。
In a previous paper, the second and third named author introduced the concept of the complete cycle index and discussed a relation with the complete weight enumerator in coding theory. In the present paper, we introduce the concept of the complete joint cycle index and the average complete joint cycle index, and discuss a relation with the complete joint weight enumerator and the average complete joint weight enumerator respectively in coding theory. Moreover, the notion of the average intersection numbers is given, and we discuss a relation with the average intersection numbers in coding theory.
