Information on Result #1835569
OOA(8118, 576, S8, 3, 41), using extracting embedded OOA based on (77, 118, 576)-net in base 8, using
- trace code for nets [i] based on (18, 59, 288)-net in base 64, using
- 4 times m-reduction [i] based on (18, 63, 288)-net in base 64, using
- base change [i] based on digital (9, 54, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- base change [i] based on digital (9, 54, 288)-net over F128, using
- 4 times m-reduction [i] based on (18, 63, 288)-net in base 64, 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(8118, 576, S8, 3, 40) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(8121, 577, S8, 3, 41) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(8124, 578, S8, 3, 41) | [i] | ||
| 4 | OOA(8119, 576, S8, 3, 41) | [i] | OOA Duplication | |