Information on Result #61435
There is no OA(7105, 116, S7, 89), because the linear programming bound shows that M ≥ 83 666546 653535 939552 480855 743847 612950 700869 329982 478928 196991 304032 769691 674719 729308 153962 596677 / 1472 063949 > 7105
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(7106, 117, S7, 90) | [i] | Truncation | |
| 2 | No OA(7107, 118, S7, 91) | [i] | ||
| 3 | No OA(7108, 119, S7, 92) | [i] | ||
| 4 | No OOA(7106, 116, S7, 2, 90) | [i] | m-Reduction for OOAs | |
| 5 | No OOA(7107, 116, S7, 2, 91) | [i] | ||
| 6 | No OOA(7108, 116, S7, 2, 92) | [i] | ||
| 7 | No OOA(7109, 116, S7, 2, 93) | [i] | ||
| 8 | No OOA(7110, 116, S7, 2, 94) | [i] | ||
| 9 | No OOA(7105, 116, S7, 2, 89) | [i] | Depth Reduction | |
| 10 | No OOA(7105, 116, S7, 3, 89) | [i] | ||
| 11 | No (16, 105, 116)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |