ParityCheckMatrix -- a parity check matrix of a code

Synopsis

• Usage:

  C.ParityCheckMatrix

• Inputs:
  • C, an instance of the type LinearCode,
• Outputs:
  • a matrix,

Description

i1 : C=linearCode(GF(8,Variable => b), {{1,1,b,0,0},{0,b,b,1,0},{1,1,1,b,0}});

i2 : C.ParityCheckMatrix

o2 = | 1 b+1 1 b2 0 |
     | 0 0   0 0  1 |

                  2           5
o2 : Matrix (GF 8)  <-- (GF 8)

See also

• ParityCheckRows -- rows of a parity check matrix of a code
• Generators -- list of generators of a code
• reducedMatrix -- reduced matrix
• generatorToParityCheck -- parity check matrix of a linear code
• parityCheckToGenerator -- generator matrix given a parity check matrix