Algebraic coding theory and combinatorial designs

本研究的主要目的是从代数的角度研究自对偶码。在自对偶码中，对这些码的分类是一个基本问题。我们使用一些不同的方法完成了几种类型的自对偶码的分类。我们构造了在该长度的所有自对偶码中具有最大最小重量的极值自对偶码。利用自对偶码，我们还研究了组合设计。

The main aim of this research is to study self-dual codes, which are of interest from an algebraic point of view. In self-dual codes, it is a fundamental problem to classify these codes. We completed classifications of several types of self-dual codes using some different approaches. We constructed extremal self-dual codes which have the largest minimum weights among all self-dual codes of that length. Using self-dual codes, we also studied combinatorial designs.