Information on Result #5363
There is no OA(8168, 171, S8, 149), because the (dual) Plotkin bound shows that M ≥ 1675 975991 242824 637446 753124 775730 765934 920727 574049 172215 445180 465220 503759 193372 100234 287270 862928 461253 982273 310756 356719 235351 493321 243304 206125 760512 / 25 > 8168
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(8169, 172, S8, 150) | [i] | Truncation | |
| 2 | No OA(8170, 173, S8, 151) | [i] | ||
| 3 | No OA(8171, 174, S8, 152) | [i] | ||
| 4 | No OA(8172, 175, S8, 153) | [i] | ||
| 5 | No OA(8173, 176, S8, 154) | [i] | ||
| 6 | No OOA(8169, 171, S8, 2, 150) | [i] | m-Reduction for OOAs | |
| 7 | No OOA(8170, 171, S8, 2, 151) | [i] | ||
| 8 | No OOA(8171, 171, S8, 2, 152) | [i] | ||
| 9 | No OOA(8172, 171, S8, 2, 153) | [i] | ||
| 10 | No OOA(8173, 171, S8, 2, 154) | [i] | ||
| 11 | No OOA(8168, 171, S8, 2, 149) | [i] | Depth Reduction | |
| 12 | No OOA(8168, 171, S8, 3, 149) | [i] | ||
| 13 | No (19, 168, 171)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |