Information on Result #59841
There is no OA(470, 191, S4, 46), because the linear programming bound shows that M ≥ 30669 687295 767807 163249 547418 721993 874758 654208 012151 612633 672044 408069 277192 616104 296206 434138 576650 240000 / 20720 048409 770029 043765 568578 931955 503324 140138 849174 037831 490849 > 470
Mode: Bound.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(471, 192, S4, 47) | [i] | Truncation | |
| 2 | No OA(472, 193, S4, 48) | [i] | ||
| 3 | No OA(473, 194, S4, 49) | [i] | ||
| 4 | No OA(474, 195, S4, 50) | [i] | ||
| 5 | No OA(475, 196, S4, 51) | [i] | ||
| 6 | No OA(476, 197, S4, 52) | [i] | ||
| 7 | No OA(477, 198, S4, 53) | [i] | ||
| 8 | No OOA(471, 191, S4, 2, 47) | [i] | m-Reduction for OOAs | |
| 9 | No OOA(472, 191, S4, 2, 48) | [i] | ||
| 10 | No OOA(473, 191, S4, 2, 49) | [i] | ||
| 11 | No OOA(470, 191, S4, 2, 46) | [i] | Depth Reduction | |
| 12 | No OOA(470, 191, S4, 3, 46) | [i] | ||
| 13 | No (24, 70, 191)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 14 | No linear OA(4254, 376, F4, 184) (dual of [376, 122, 185]-code) | [i] | Residual Code | |