Information on Result #790918
Digital (129, 192, 112)-net over F2, using trace code for nets based on digital (33, 96, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (129, 191, 112)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (129, 190, 112)-net over F2 | [i] | ||
| 3 | Digital (129, 189, 112)-net over F2 | [i] | ||
| 4 | Digital (129, 188, 112)-net over F2 | [i] | ||
| 5 | Digital (129, 187, 112)-net over F2 | [i] | ||
| 6 | Digital (129, 186, 112)-net over F2 | [i] | ||
| 7 | Digital (129, 185, 112)-net over F2 | [i] | ||
| 8 | Digital (129, 184, 112)-net over F2 | [i] | ||
| 9 | Digital (129, 183, 112)-net over F2 | [i] | ||
| 10 | Digital (129, 182, 112)-net over F2 | [i] | ||
| 11 | Digital (129, 181, 112)-net over F2 | [i] | ||
| 12 | Linear OOA(2192, 112, F2, 3, 63) (dual of [(112, 3), 144, 64]-NRT-code) | [i] | Extracting Embedded OOA | |
| 13 | Linear OOA(2192, 112, F2, 4, 63) (dual of [(112, 4), 256, 64]-NRT-code) | [i] | ||
| 14 | Linear OOA(2192, 112, F2, 5, 63) (dual of [(112, 5), 368, 64]-NRT-code) | [i] | ||
| 15 | Linear OOA(2192, 112, F2, 6, 63) (dual of [(112, 6), 480, 64]-NRT-code) | [i] | ||
| 16 | Linear OOA(2192, 112, F2, 7, 63) (dual of [(112, 7), 592, 64]-NRT-code) | [i] | ||
| 17 | Linear OOA(2192, 112, F2, 8, 63) (dual of [(112, 8), 704, 64]-NRT-code) | [i] | ||