We generalize the three-stage process for constructing and enumerating Golay array and sequence pairs given in 2008 by Frank Fiedler et al. [A multi-dimensional approach to the construction and enumeration of Golay complementary sequences, Journal of Combinatorial Theory, Series A 115 (2008) 753-776] to $4^{q}$-QAM constellation based on para-unitary matrix method, which partly solves their open questions. Our work not only includes the main part of known results of Golay complementary sequences over $4^{q}$-QAM based on Boolean functions and standard Golay sequence pairs over QPSK, but also generates new Golay complementary arrays (sequences) over $4^{q}$-QAM based on non-standard Golay array pairs over QPSK.

翻译：我们将Frank Fiedler等人在2008年给出的建造和罗列戈莱阵列和序列对数的三阶段过程概括为4Qq}QAM星座,该星座以准统一矩阵方法为基础,部分解决了其未决问题。我们的工作不仅包括Golay互补序列已知结果的主要部分,即4Qq}-QAM的已知结果,其依据是Boolean函数和QPSK的标准的戈莱序列对等,而且还产生了4Qq}QAM以上新的戈莱互补阵列(序列),其依据是QPSK上非标准的戈莱阵列阵列阵列。