Information on Result #1836501
OOA(819, 523, S8, 3, 6), using (u, u+v)-construction based on
- linear OOA(83, 9, F8, 3, 3) (dual of [(9, 3), 24, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;24,8) [i]
- OOA(816, 514, S8, 3, 6), using
- extracting embedded OOA [i] based on (10, 16, 514)-net in base 8, using
- base change [i] based on digital (6, 12, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 6, 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
- trace code for nets [i] based on digital (0, 6, 257)-net over F256, using
- base change [i] based on digital (6, 12, 514)-net over F16, using
- extracting embedded OOA [i] based on (10, 16, 514)-net in base 8, 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(8109, 5592925, S8, 3, 12) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(8117, 5592925, S8, 3, 13) | [i] | ||
| 3 | OOA(819, 522, S8, 9, 6) | [i] | OOA Stacking with Additional Row | |