Information on Result #790887
Digital (112, 182, 68)-net over F2, using trace code for nets based on digital (21, 91, 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 (112, 181, 68)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (112, 180, 68)-net over F2 | [i] | ||
| 3 | Digital (112, 179, 68)-net over F2 | [i] | ||
| 4 | Digital (112, 178, 68)-net over F2 | [i] | ||
| 5 | Digital (112, 177, 68)-net over F2 | [i] | ||
| 6 | Digital (112, 176, 68)-net over F2 | [i] | ||
| 7 | Digital (112, 175, 68)-net over F2 | [i] | ||
| 8 | Digital (112, 174, 68)-net over F2 | [i] | ||
| 9 | Digital (112, 173, 68)-net over F2 | [i] | ||
| 10 | Digital (112, 172, 68)-net over F2 | [i] | ||
| 11 | Digital (112, 171, 68)-net over F2 | [i] | ||
| 12 | Digital (112, 170, 68)-net over F2 | [i] | ||
| 13 | Digital (112, 169, 68)-net over F2 | [i] | ||
| 14 | Digital (112, 168, 68)-net over F2 | [i] | ||
| 15 | Linear OOA(2182, 68, F2, 7, 70) (dual of [(68, 7), 294, 71]-NRT-code) | [i] | Extracting Embedded OOA | |
| 16 | Linear OOA(2182, 68, F2, 8, 70) (dual of [(68, 8), 362, 71]-NRT-code) | [i] | ||