i3 : H = hammingCode(2,3)
7
o3 = LinearCode{AmbientModule => (GF 2) }
BaseField => GF 2
cache => CacheTable{}
Code => image | 1 0 1 1 |
| 1 1 1 0 |
| 1 1 0 1 |
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 1 0 |
| 0 0 0 1 |
GeneratorMatrix => | 1 1 1 1 0 0 0 |
| 0 1 1 0 1 0 0 |
| 1 1 0 0 0 1 0 |
| 1 0 1 0 0 0 1 |
Generators => {{1, 1, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1}}
ParityCheckMatrix => | 1 1 1 1 0 0 0 |
| 0 1 0 1 1 1 0 |
| 0 1 1 0 0 1 1 |
ParityCheckRows => {{1, 1, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 1}}
o3 : LinearCode
|