We describe the classification of orthogonal arrays OA$(2048,14,2,7)$, or, equivalently, completely regular $\{14;2\}$-codes in the $14$-cube ($30848$ equivalence classes). In particular, we find that there is exactly one almost-OA$(2048,14,2,7+1)$, up to equivalence. As derived objects, OA$(1024,13,2,6)$ ($202917$ classes) and completely regular $\{12,2;2,12\}$- and $\{14, 12, 2; 2, 12, 14\}$-codes in the $13$- and $14$-cubes, respectively, are also classified.

翻译：我们描述了正交表OA$(2048,14,2,7)$（等价于14维超立方体中的完全正则$\{14;2\}$-码，共30848个等价类）的分类。特别地，我们发现至多等价意义下，有且仅有一个几乎OA$(2048,14,2,7+1)$。作为派生结果，我们同时完成了OA$(1024,13,2,6)$（202917个类）以及13维和14维超立方体中的完全正则$\{12,2;2,12\}$-码与$\{14,12,2;2,12,14\}$-码的分类。