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. Keywords: binary orthogonal array, completely regular code, binary 1-perfect code.

翻译：本文描述了正交阵列OA$(2048,14,2,7)$（等价于14-立方体中的完全正则$\{14;2\}$码）的分类（共30848个等价类）。特别地，我们发现恰好存在一个几乎OA$(2048,14,2,7+1)$（在等价意义下）。作为衍生对象，还分类了OA$(1024,13,2,6)$（202917个类）以及分别位于13-和14-立方体中的完全正则$\{12,2;2,12\}$码和$\{14,12,2;2,12,14\}$码。关键词：二元正交阵列，完全正则码，二元1-完美码。