中文摘要：

如何构造性能良好的线性码是编码理论的一个重要问题，该文介绍了用定义集合构造线性码的通用方法，考虑使用多变量函数给出定义集合，从而构造出一类2重量和3重量的线性码，并进一步使用高斯和与指数和确定了这类线性码的具体参数和重量分布。小重量的线性码在消费类电子产品、通信、数据存储系统等方面都有着重要的应用，其中2重量线性码可以构造强正则图，3重量的线性码可以构造结合方案。

英文摘要：

How to construct good linear codes is a question of importance in coding theory.This paper introduces the construction of linear codes from defining sets,considers the construction of linear codes from multivariable func-tions,presents a class of two-weight and three-weight linear codes,and employs the Gauss sums and exponential sums to determine the parameters and weight distribution of these codes.It5s found that linear codes with few weights have important applications in consumer electronics,communication and date storage systems.Among them,linear codes with two weights find applications in strongly regular graphs and linear codes with three weights can be applied in association schemes.