In this paper, based on the theory of defining sets, two classes of five-weight or six-weight linear codes over Fp are constructed. The weight distributions of the linear codes are determined by means of Weil sums and a new type of exponential sums. In some case, there is an almost optimal code with respect to Griesmer bound, which is also an optimal one according to the online code table.

翻译：在本文中,根据定义组的理论,对Fp以上分为两类五重量或六重量线性代码,线性代码的重量分布通过Weil总和和新类型的指数量来确定,在某些情况下,关于Griesmer绑定的代码几乎是最佳的,根据在线代码表,这也是最佳的代码。