中文摘要：

研究了有限域上一类特殊的多项式组,通过特征和给出了若干判定其正交性的充分条件,从而可以用来构建这种类型的正交多项式组.

英文摘要：

We investigate a class of special polynomial systems over finite fields, and obtain some sufficient conditions for orthogonality via character sums, which can be used to construct orthogonal systems of this type.