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D.9.1.11 dual_code
Procedure from library brnoeth.lib (see brnoeth_lib).
- Usage:
dual_code(G); G a matrix of numbers
- Return:
a generator matrix of the dual code generated by G
- Note:
The input should be a matrix G of numbers.
The output is also a parity check matrix for the code defined by G
Example:
LIB "brnoeth.lib"; ring s=2,T,lp; // here is the Hamming code of length 7 and dimension 3 matrix G[3][7]=1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1; print(G); → 1,0,1,0,1,0,1, → 0,1,1,0,0,1,1, → 0,0,0,1,1,1,1 matrix H=dual_code(G); print(H); → 1,1,1,0,0,0,0, → 1,0,0,1,1,0,0, → 0,1,0,1,0,1,0, → 1,1,0,1,0,0,1 |