In this article, we construct a new family of semifields, containing and extending two well‐known families, namely Albert's generalised twisted fields and Petit's cyclic semifields (also known as Johnson–Jha semifields). The construction also gives examples of semifields with parameters for which no examples were previously known. In the case of semifields two dimensions over a nucleus and four‐dimensional over their centre, the construction gives all possible examples.

中文翻译：

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偏多项式环的新半场和新MRD码

在本文中，我们构建了一个新的半场族，包含并扩展了两个著名的族，即Albert的广义扭曲场和Petit的循环半场（也称为Johnson-Jha半场）。该构造还给出了带有参数的半场的示例，以前没有已知的参数。对于半场，在原子核上二维，在其中心二维上，这种构造给出了所有可能的例子。