In the present paper, we introduce the concept of harmonic Tutte polynomials of matroids and discuss some of their properties. In particular, we generalize Greene’s theorem, thereby expressing harmonic weight enumerators of codes as evaluations of harmonic Tutte polynomials.

中文翻译：

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拟阵的调和 Tutte 多项式

在本文中，我们介绍了拟阵的调和 Tutte 多项式的概念并讨论了它们的一些性质。特别是，我们推广了格林定理，从而将代码的调和权重枚举数表示为调和 Tutte 多项式的评估。