一类二重量和三重量线性码的推广

Generalization of a class of two-weight and three-weight linear codes

设p是奇素数,F_(p)表示具有p个元素的有限域,借助高斯指数和以及有限域上的Pless power恒等式等知识,在F_(p)上得到了一类二重量和三重量线性码,并确定了这一类线性码的重量分布。

Let p be an odd prime and F_(p)denotes a finite field with p elements.In this paper,we use knowledge such as Gaussian exponents and Pless power identities over finite fields to obtain a class of two-weight and three-weight linear codes,and determine the weight distribution of this class of linear codes.