Information on Result #62723
There is no OA(16118, 162, S16, 110), because the linear programming bound shows that M ≥ 67094 250143 496863 765945 730599 677506 281097 054797 487214 706877 103483 276101 353471 276226 918006 219975 937180 683388 806856 799132 700635 802263 722925 587419 834381 300386 510535 149825 818624 / 5 332004 745796 121301 490270 732015 > 16118
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(16119, 163, S16, 111) | [i] | Truncation | |
| 2 | No OA(16120, 164, S16, 112) | [i] | ||
| 3 | No OA(16121, 165, S16, 113) | [i] | ||
| 4 | No OA(16122, 166, S16, 114) | [i] | ||
| 5 | No OA(16123, 167, S16, 115) | [i] | ||
| 6 | No OA(16124, 168, S16, 116) | [i] | ||
| 7 | No OA(16125, 169, S16, 117) | [i] | ||
| 8 | No OA(16126, 170, S16, 118) | [i] | ||
| 9 | No OA(16127, 171, S16, 119) | [i] | ||
| 10 | No OA(16128, 172, S16, 120) | [i] | ||
| 11 | No OA(16129, 173, S16, 121) | [i] | ||
| 12 | No OA(16130, 174, S16, 122) | [i] | ||
| 13 | No OOA(16119, 162, S16, 2, 111) | [i] | m-Reduction for OOAs | |
| 14 | No OOA(16120, 162, S16, 2, 112) | [i] | ||
| 15 | No OOA(16121, 162, S16, 2, 113) | [i] | ||
| 16 | No OOA(16122, 162, S16, 2, 114) | [i] | ||
| 17 | No OOA(16123, 162, S16, 2, 115) | [i] | ||
| 18 | No OOA(16124, 162, S16, 2, 116) | [i] | ||
| 19 | No OOA(16125, 162, S16, 2, 117) | [i] | ||
| 20 | No OOA(16126, 162, S16, 2, 118) | [i] | ||
| 21 | No OOA(16127, 162, S16, 2, 119) | [i] | ||
| 22 | No OOA(16128, 162, S16, 2, 120) | [i] | ||
| 23 | No OOA(16129, 162, S16, 2, 121) | [i] | ||
| 24 | No OOA(16130, 162, S16, 2, 122) | [i] | ||
| 25 | No OOA(16118, 162, S16, 2, 110) | [i] | Depth Reduction | |
| 26 | No (8, 118, 162)-net in base 16 | [i] | Extracting Embedded Orthogonal Array | |