论文标题
雅各比多项式和设计理论
Jacobi polynomials and design theory I
论文作者
论文摘要
在本文中，我们介绍了用代码的多个参考向量的雅各比多项式的概念，并为其提供了MacWilliams类型的身份。此外，我们得出了使用Aronhold极化算子获得Jacobi多项式的公式。最后，我们描述了从III型和IV型代码获得的一些事实，这些事实解释了Jacobi多项式和设计之间的关系。
In this paper, we introduce the notion of Jacobi polynomials with multiple reference vectors of a code, and give the MacWilliams type identity for it. Moreover, we derive a formula to obtain the Jacobi polynomials using the Aronhold polarization operator. Finally, we describe some facts obtained from Type III and Type IV codes that interpret the relation between the Jacobi polynomials and designs.
