Mathematical Sciences: Large Sets of Disjoint Designs with Holes

该奖项支持L. teirlink教授在组合学方面的研究。他打算研究大量不相交的设计和相关结构。特别是，他打算继续他对t型设计的研究。这项研究跨越了组合学和编码理论的界限。组合学试图找到有效的方法来研究如何组织离散的对象集合。因此，它对现代通信非常重要，例如在电话系统中大型网络的设计。作为本文研究的主要对象，t型设计是密码学中真实性理论基础中使用的基本工具。

This award supports the research of Professor L. Teirlinck to work in combinatorics. He intends to work on the large sets of disjoint designs and related structures. In particular, he intends to continue his research on t-designs. The research crosses lines between the areas of combinatorics, and coding theory. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications, for example the design of large networks as in telephone systems. The main object to be studied in the proposed research, t-designs are a fundamental tool used in the foundations of authenticity theory in cryptography.