constructing a code

138 days ago by math327

MS=MatrixSpace(GF(3),4,9) 
       
M=MS([[0,2,1,2,0,2,2,1,1], [1,1,1,1,2,2,2,0,0], [2,2,2,2,1,1,1,0,0], [0,0,0,0,1,1,1,2,2]]) 
       
C=LinearCode(M) 
       
C 
        
Linear code of length 9, dimension 3 over Finite Field of size 3
Linear code of length 9, dimension 3 over Finite Field of size 3
C.minimum_distance() 
        
4
4