ParityCheckRows -- rows of a parity check matrix of a code

Synopsis

• Usage:

  C.ParityCheckRows

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

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)

i3 : C.ParityCheckRows

                     2
o3 = {{1, b + 1, 1, b , 0}, {0, 0, 0, 0, 1}}

o3 : List

See also

• ParityCheckMatrix -- 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