Information on Result #61749
There is no OA(866, 296, S8, 51), because the linear programming bound shows that M ≥ 1 250062 958837 561183 624404 744244 192700 439017 944864 767705 236229 106710 888395 390839 850805 321385 337484 514454 170810 392090 648828 600419 191095 296000 / 3 096891 109413 013981 634976 757753 456870 522002 446974 025728 410339 087894 301101 500579 > 866
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(867, 297, S8, 52) | [i] | Truncation | |
| 2 | No OA(868, 298, S8, 53) | [i] | ||
| 3 | No OA(869, 299, S8, 54) | [i] | ||
| 4 | No OA(870, 300, S8, 55) | [i] | ||
| 5 | No OOA(867, 296, S8, 2, 52) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(868, 296, S8, 2, 53) | [i] | ||
| 7 | No OOA(869, 296, S8, 2, 54) | [i] | ||
| 8 | No OOA(870, 296, S8, 2, 55) | [i] | ||
| 9 | No OOA(871, 296, S8, 2, 56) | [i] | ||
| 10 | No OOA(872, 296, S8, 2, 57) | [i] | ||
| 11 | No OOA(873, 296, S8, 2, 58) | [i] | ||
| 12 | No OOA(874, 296, S8, 2, 59) | [i] | ||
| 13 | No OOA(876, 296, S8, 2, 61) | [i] | ||
| 14 | No OOA(866, 296, S8, 2, 51) | [i] | Depth Reduction | |
| 15 | No OOA(866, 296, S8, 3, 51) | [i] | ||
| 16 | No (15, 66, 296)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |