Information on Result #790721
Digital (89, 136, 68)-net over F2, using trace code for nets based on digital (21, 68, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 from the second 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) = 21 and N(F) ≥ 34, 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 (89, 135, 68)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (89, 134, 68)-net over F2 | [i] | ||
| 3 | Digital (89, 133, 68)-net over F2 | [i] | ||
| 4 | Digital (89, 132, 68)-net over F2 | [i] | ||
| 5 | Digital (89, 131, 68)-net over F2 | [i] | ||
| 6 | Digital (89, 130, 68)-net over F2 | [i] | ||
| 7 | Linear OOA(2136, 68, F2, 7, 47) (dual of [(68, 7), 340, 48]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(2136, 68, F2, 8, 47) (dual of [(68, 8), 408, 48]-NRT-code) | [i] | ||