Information on Result #790524
Digital (54, 82, 60)-net over F2, using trace code for nets based on digital (13, 41, 30)-net over F4, using
- net from sequence [i] based on digital (13, 29)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 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) = 13 and N(F) ≥ 30, 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 (54, 81, 60)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (54, 80, 60)-net over F2 | [i] | ||
| 3 | Digital (54, 79, 60)-net over F2 | [i] | ||
| 4 | Linear OOA(282, 60, F2, 3, 28) (dual of [(60, 3), 98, 29]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(282, 60, F2, 4, 28) (dual of [(60, 4), 158, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(282, 60, F2, 5, 28) (dual of [(60, 5), 218, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(282, 60, F2, 6, 28) (dual of [(60, 6), 278, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(282, 60, F2, 7, 28) (dual of [(60, 7), 338, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(282, 60, F2, 8, 28) (dual of [(60, 8), 398, 29]-NRT-code) | [i] | ||