一类基于特征函数构造的极小线性码

A Class of Minimal Linear Codes from Characteristic Functions

基于特征函数构造极小线性码的方法,该文通过选取适当的定义集,构造了一类具有较低重量的极小线性码.结果表明:所构造的线性码是不满足Ashikhmin-Barg条件的极小线性码,可用于设计具有良好访问结构的秘密共享方案.

Based on the method of constructing minimal linear codes from characteristic functions,a class of minimal linear codes with lower weight was constructed by selecting appropriate definition sets.The results showed that the constructed linear codes were minimal linear codes that do not meet the Ashikhmin-Barg condition,and could be used to design secret sharing schemes with good access structures.