Information on Result #1832357
OOA(12812, 514, S128, 2, 7), using (u, u+v)-construction based on
- linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- OOA(1288, 257, S128, 2, 7), using
- extracting embedded OOA [i] based on (1, 8, 257)-net in base 128, using
- base change [i] based on digital (0, 7, 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, 7, 257)-net over F256, using
- extracting embedded OOA [i] based on (1, 8, 257)-net in base 128, 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(12858, 4194815, S128, 2, 14) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12862, 4194815, S128, 2, 15) | [i] | ||