Information on Result #60625
There is no OA(568, 210, S5, 48), because the linear programming bound shows that M ≥ 6760 956083 916702 352992 250564 109932 606189 415621 657408 476429 552982 124466 864951 923836 257741 129429 632565 006613 731384 277343 750000 / 19342 287027 559923 481797 783576 010130 384623 417931 322127 496147 355024 935112 515561 > 568
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(569, 211, S5, 49) | [i] | Truncation | |
| 2 | No OA(570, 212, S5, 50) | [i] | ||
| 3 | No OA(571, 213, S5, 51) | [i] | ||
| 4 | No OA(572, 214, S5, 52) | [i] | ||
| 5 | No OA(573, 215, S5, 53) | [i] | ||
| 6 | No OA(574, 216, S5, 54) | [i] | ||
| 7 | No OA(575, 217, S5, 55) | [i] | ||
| 8 | No OA(576, 218, S5, 56) | [i] | ||
| 9 | No OA(577, 219, S5, 57) | [i] | ||
| 10 | No OA(578, 220, S5, 58) | [i] | ||
| 11 | No OA(579, 221, S5, 59) | [i] | ||
| 12 | No OA(580, 222, S5, 60) | [i] | ||
| 13 | No OOA(569, 210, S5, 2, 49) | [i] | m-Reduction for OOAs | |
| 14 | No OOA(570, 210, S5, 2, 50) | [i] | ||
| 15 | No OOA(571, 210, S5, 2, 51) | [i] | ||
| 16 | No OOA(572, 210, S5, 2, 52) | [i] | ||
| 17 | No OOA(573, 210, S5, 2, 53) | [i] | ||
| 18 | No OOA(575, 210, S5, 2, 55) | [i] | ||
| 19 | No OOA(568, 210, S5, 2, 48) | [i] | Depth Reduction | |
| 20 | No OOA(568, 210, S5, 3, 48) | [i] | ||
| 21 | No (20, 68, 210)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |