We propose new constructions for a two-dimensional ($2$D) perfect array, complete complementary code (CCC), and multiple CCCs as an optimal symmetrical $Z$-complementary code set (ZCCS). We propose a method to generate a two-dimensional perfect array and CCC. By utilising mutually orthogonal sequences, we developed a method to extend the length of a CCC without affecting the set or code size. Additionally, this concept is extended to include the development of multiple CCCs, and the correlation characteristics of these multiple CCCs are identical with the characteristics of optimal symmetrical ZCCS.

翻译：本文提出了二维完美阵列、完全互补码(CCC)以及作为最优对称Z互补码集(ZCCS)的多组CCC的新构造方法。我们提出了一种生成二维完美阵列和CCC的方法。通过利用相互正交序列，我们开发了一种在不影响集合或码长的情况下扩展CCC长度的方法。此外，这一概念被推广至多组CCC的构造，且这些多组CCC的相关特性与最优对称ZCCS的特性完全一致。