Recently, two-dimensional (2D) array codes have been found to have applications in wireless communication.In this paper, we propose direct construction of 2D complete complementary codes (2D-CCCs) with arbitrary array size and flexible set size using multivariable functions (MVF). The Peak-to-mean envelope power ratio (PMEPR) properties of row and column sequences of the constructed 2D-CCC arrays are investigated. The proposed construction generalizes many of the existing state-of-the-art such as Golay complementary pair (GCP), one-dimensional (1D)-CCC, 2D Golay complementary array set (2D-GCAS), and 2D-CCC with better parameters compared to the existing work.

翻译：近年来，二维阵列码在无线通信领域展现出应用价值。本文提出一种基于多元函数(MVF)直接构造具有任意阵列尺寸与灵活集尺寸的二维完全互补码(2D-CCC)的方法，并研究了所构造二维CCC阵列的行/列序列峰均包络功率比(PMEPR)特性。与现有研究相比，该构造方法通过获得更优参数，统一推广了戈莱互补对(GCP)、一维完全互补码(1D-CCC)、二维戈莱互补阵列集(2D-GCAS)及二维完全互补码(2D-CCC)等现有主流方案。