Minimal linear codes have important applications in secret sharing schemes and two-party secure computation.Based on 2-to-1 functions with good cryptographic properties,this paper constructs three classes of linear codes.From the distributions of Walsh spectrum values of the functions,the parameters and accurate weight distributions of the three classes of linear codes are determined.The results show that our linear codes are minimal,which satisfy the Ashikhmin-Barg condition.
关键词
二元线性码/极小码/二对一函数/Ashikhmin-Barg条件
Key words
binary linear code/minimal code/2-to-1 function/Ashikhmin-Barg condition