Information on Result #1838559
OOA(12811, 386, S128, 4, 7), using (u, u+v)-construction based on
- linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;513,128) [i]
- OOA(1288, 257, S128, 4, 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(12857, 2097536, S128, 4, 14) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12861, 2097536, S128, 4, 15) | [i] | ||