Macaulay2 » Documentation
Packages » CodingTheory » LinearCode » linearCode » ParityCheck » ParityCheckMatrix

next | previous | forward | backward | up | index | toc

ParityCheckMatrix -- a parity check matrix of a code

Usage:

C.ParityCheckMatrix
Inputs:
- C, an instance of the type LinearCode,
Outputs:
- a matrix,

Description

This symbol is used as a key for storing a parity check matrix of C.

This symbol is provided by the package CodingTheory.

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

For the programmer

The object ParityCheckMatrix is a symbol.

The source of this document is in CodingTheory.m2:3030:0.