Information on Result #1838322
OOA(12821, 257, S128, 4, 18), using extracting embedded OOA based on (3, 21, 257)-net in base 128, using
- 3 times m-reduction [i] based on (3, 24, 257)-net in base 128, using
- base change [i] based on digital (0, 21, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 21, 257)-net over F256, using
Mode: Constructive.
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 | OOA(12830, 386, S128, 4, 18) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12862, 432, S128, 4, 36) | [i] | ||
| 3 | OOA(12866, 545, S128, 4, 36) | [i] | ||
| 4 | OOA(12863, 432, S128, 4, 37) | [i] | ||
| 5 | OOA(12867, 545, S128, 4, 37) | [i] | ||