Information on Result #1003752
Linear OOA(512, 52, F5, 3, 6) (dual of [(52, 3), 144, 7]-NRT-code), using extracting embedded OOA based on digital (6, 12, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 6, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5103, 2796253, F5, 3, 12) (dual of [(2796253, 3), 8388656, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5124, 4194353, F5, 3, 12) (dual of [(4194353, 3), 12582935, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(5113, 2796253, F5, 3, 13) (dual of [(2796253, 3), 8388646, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(5134, 4194353, F5, 3, 13) (dual of [(4194353, 3), 12582925, 14]-NRT-code) | [i] | ||