两类小重量线性码的构造  

Construction of Two Kinds of Small Weight Linear Codes

作　　者：梁秀风 韩广国[1] LIANG Xiufeng;HAN Guangguo(School of Science,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2018年第2期98-102,共5页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(11531002;11471123)

摘　　要：考虑小重量码的构造,使用多变量函数给出定义集合,从而构造出两类2重量和3重量的线性码,其中构造的线性码的具体参数和重量分布由高斯和和指数和来确定。Linear code has many special properties and is a very important code in information and coding theory.Its construction is a basic problem of coding theory.In this paper the construction of small weight code is considered.Using the multivariable functions of a defining set,two classes of 2 and 3 weight linear codes are constructed.Furthermore,using Gaussian sums and exponent sums,the specific parameters and weight distribution of this kind of linear codes are determined.

关 键 词：定义集合 线性码 重量分布 高斯和 指数和 

分 类 号：TN911.22[电子电信—通信与信息系统]