Information on Result #791470
Digital (113, 153, 144)-net over F2, using trace code for nets based on digital (11, 51, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, 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 (114, 153, 144)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (114, 154, 144)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (113, 152, 144)-net over F2 | [i] | m-Reduction | |
| 4 | Digital (113, 151, 144)-net over F2 | [i] | ||
| 5 | Digital (113, 150, 144)-net over F2 | [i] | ||
| 6 | Digital (113, 149, 144)-net over F2 | [i] | ||
| 7 | Linear OOA(2153, 144, F2, 2, 40) (dual of [(144, 2), 135, 41]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(2153, 144, F2, 3, 40) (dual of [(144, 3), 279, 41]-NRT-code) | [i] | ||
| 9 | Linear OOA(2153, 144, F2, 4, 40) (dual of [(144, 4), 423, 41]-NRT-code) | [i] | ||
| 10 | Linear OOA(2153, 144, F2, 5, 40) (dual of [(144, 5), 567, 41]-NRT-code) | [i] | ||
| 11 | Linear OOA(2153, 144, F2, 6, 40) (dual of [(144, 6), 711, 41]-NRT-code) | [i] | ||
| 12 | Linear OOA(2153, 144, F2, 7, 40) (dual of [(144, 7), 855, 41]-NRT-code) | [i] | ||
| 13 | Linear OOA(2153, 144, F2, 8, 40) (dual of [(144, 8), 999, 41]-NRT-code) | [i] | ||