Information on Result #791132
Digital (178, 258, 132)-net over F2, using trace code for nets based on digital (49, 129, 66)-net over F4, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- T6 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) = 49 and N(F) ≥ 66, 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 (178, 257, 132)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (178, 256, 132)-net over F2 | [i] | ||
| 3 | Digital (178, 255, 132)-net over F2 | [i] | ||
| 4 | Digital (178, 254, 132)-net over F2 | [i] | ||
| 5 | Linear OOA(2258, 132, F2, 3, 80) (dual of [(132, 3), 138, 81]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(2258, 132, F2, 4, 80) (dual of [(132, 4), 270, 81]-NRT-code) | [i] | ||
| 7 | Linear OOA(2258, 132, F2, 5, 80) (dual of [(132, 5), 402, 81]-NRT-code) | [i] | ||
| 8 | Linear OOA(2258, 132, F2, 6, 80) (dual of [(132, 6), 534, 81]-NRT-code) | [i] | ||
| 9 | Linear OOA(2258, 132, F2, 7, 80) (dual of [(132, 7), 666, 81]-NRT-code) | [i] | ||
| 10 | Linear OOA(2258, 132, F2, 8, 80) (dual of [(132, 8), 798, 81]-NRT-code) | [i] | ||