i1 : L = {{0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0,1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1, 1}}
o1 = {{0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1,
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0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1, 1}}
o1 : List
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i2 : C = linearCode(GF(2),L)
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o2 = LinearCode{AmbientModule => (GF 2) }
BaseField => GF 2
cache => CacheTable{}
Code => image | 0 0 1 1 |
| 1 0 1 0 |
| 0 1 0 0 |
| 0 0 0 1 |
| 0 1 0 0 |
| 0 1 1 0 |
| 0 0 0 0 |
| 0 1 0 1 |
| 0 0 1 1 |
| 0 0 0 1 |
GeneratorMatrix => | 0 1 0 0 0 0 0 0 0 0 |
| 0 0 1 0 1 1 0 1 0 0 |
| 1 1 0 0 0 1 0 0 1 0 |
| 1 0 0 1 0 0 0 1 1 1 |
Generators => {{0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1, 1}}
ParityCheckMatrix => | 0 0 1 1 0 0 0 1 0 0 |
| 0 0 0 1 1 0 0 1 0 0 |
| 1 0 0 0 0 1 0 1 0 0 |
| 0 0 0 0 0 0 1 0 0 0 |
| 1 0 0 0 0 0 0 0 1 0 |
| 0 0 0 1 0 0 0 0 0 1 |
ParityCheckRows => {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}
o2 : LinearCode
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i3 : S=toString C
o3 = {{0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1,
0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1, 1}}
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