论文标题

二进制(K,K) - 设计

Binary (k,k)-designs

论文作者

Alexandrova, Todorka, Boyvalenkov, Peter, Dimitrov, Angel

论文摘要

我们介绍和调查与二进制正交阵列相关的二进制$(k,k)$ - 设计 - 组合结构。我们得出了一般线性编程的限制,并提出了一种通用限制的$(k,k)$ - 固定$ k $和长度$ n $的设计。研究了达到我们约束的设计。

We introduce and investigate binary $(k,k)$-designs -- combinatorial structures which are related to binary orthogonal arrays. We derive general linear programming bound and propose as a consequence a universal bound on the minimum possible cardinality of $(k,k)$-designs for fixed $k$ and length $n$. Designs which attain our bound are investigated.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源