The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes

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.