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The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes
Discrete Mathematics ( IF 0.8 ) Pub Date : 2024-02-09 , DOI: 10.1016/j.disc.2024.113923
Denis S. Krotov

We describe the classification of orthogonal arrays OA, or, equivalently, completely regular -codes in the 14-cube (30848 equivalence classes). In particular, we find that there is exactly one almost-OA, up to equivalence. As derived objects, OA (202917 classes) and completely regular - and -codes in the 13- and 14-cubes, respectively, are also classified.

中文翻译:

正交阵OA(2048,14,2,7)的分类和一些完全正则码

我们描述了正交数组 OA 的分类,或者等效地,14 立方体(30848 个等价类)中的完全正则代码。特别是,我们发现恰好有一个几乎-OA,直到等效。作为派生对象,OA(202917 类)以及分别在 13 和 14 立方体中的完全规则的 - 和 - 代码也被分类。
更新日期:2024-02-09
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