当前位置:
X-MOL 学术
›
J. Comb. Theory A
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
New results on orthogonal arrays OA(3,5,4n + 2)
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2024-01-24 , DOI: 10.1016/j.jcta.2024.105864 Dongliang Li , Haitao Cao
中文翻译:
正交数组 OA(3,5,4n + 2) 的新结果
更新日期:2024-01-25
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2024-01-24 , DOI: 10.1016/j.jcta.2024.105864 Dongliang Li , Haitao Cao
An orthogonal array of index unity, order v, degree 5 and strength 3, or an OA in short, is a array on v symbols and in every subarray, each 3-tuple column vector occurs exactly once. The existence of an OA is still open except for few known infinite classes of n. In this paper, we introduce a new combinatorial structure called three dimensions orthogonal complete large sets of disjoint incomplete Latin squares and use it to obtain many new infinite classes of OAs.
中文翻译:
正交数组 OA(3,5,4n + 2) 的新结果
索引统一、阶数v 、度数 5 和强度 3的正交数组,或 OA简而言之,是一个v符号上的数组以及每个子数组中,每个 3 元组列向量恰好出现一次。OA的存在除了少数已知的无限类n之外,仍然是开放的。在本文中,我们引入了一种新的组合结构,称为三维正交完全大集不相交不完全拉丁方,并用它来获得许多新的无限类OAs。