Information on Result #59842
There is no OA(471, 206, S4, 46), because the linear programming bound shows that M ≥ 12190 666552 860549 875030 280693 949215 033597 089167 787297 540990 306499 998443 349891 008938 804128 810849 723006 100908 802048 / 2095 122091 727468 263392 248874 603589 540011 988045 238608 933987 894642 253863 > 471
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(472, 207, S4, 47) | [i] | Truncation | |
| 2 | No OA(473, 208, S4, 48) | [i] | ||
| 3 | No OA(474, 209, S4, 49) | [i] | ||
| 4 | No OA(475, 210, S4, 50) | [i] | ||
| 5 | No OA(476, 211, S4, 51) | [i] | ||
| 6 | No OA(477, 212, S4, 52) | [i] | ||
| 7 | No OA(478, 213, S4, 53) | [i] | ||
| 8 | No OA(479, 214, S4, 54) | [i] | ||
| 9 | No OA(480, 215, S4, 55) | [i] | ||
| 10 | No OA(481, 216, S4, 56) | [i] | ||
| 11 | No OOA(472, 206, S4, 2, 47) | [i] | m-Reduction for OOAs | |
| 12 | No OOA(474, 206, S4, 2, 49) | [i] | ||
| 13 | No OOA(471, 206, S4, 2, 46) | [i] | Depth Reduction | |
| 14 | No OOA(471, 206, S4, 3, 46) | [i] | ||
| 15 | No (25, 71, 206)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 16 | No linear OA(4255, 391, F4, 184) (dual of [391, 136, 185]-code) | [i] | Residual Code | |