Information on Result #60627
There is no OA(570, 251, S5, 48), because the linear programming bound shows that M ≥ 200739 700872 207371 941822 857655 414079 267967 489809 085558 495421 373224 272654 223199 197076 610289 514064 788818 359375 / 22725 681524 131940 245591 201747 442624 808026 373117 483473 863576 > 570
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(571, 252, S5, 49) | [i] | Truncation | |
| 2 | No OA(572, 253, S5, 50) | [i] | ||
| 3 | No OA(573, 254, S5, 51) | [i] | ||
| 4 | No OA(574, 255, S5, 52) | [i] | ||
| 5 | No OA(575, 256, S5, 53) | [i] | ||
| 6 | No OA(576, 257, S5, 54) | [i] | ||
| 7 | No OA(577, 258, S5, 55) | [i] | ||
| 8 | No OA(578, 259, S5, 56) | [i] | ||
| 9 | No OA(579, 260, S5, 57) | [i] | ||
| 10 | No OA(580, 261, S5, 58) | [i] | ||
| 11 | No OA(581, 262, S5, 59) | [i] | ||
| 12 | No OOA(571, 251, S5, 2, 49) | [i] | m-Reduction for OOAs | |
| 13 | No OOA(570, 251, S5, 2, 48) | [i] | Depth Reduction | |
| 14 | No OOA(570, 251, S5, 3, 48) | [i] | ||
| 15 | No (22, 70, 251)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |