Information on Result #60870
There is no OA(5116, 143, S5, 89), because the linear programming bound shows that M ≥ 2738 237588 593697 454668 762256 522048 887080 570758 264064 445890 203342 535984 543104 632393 806241 452693 939208 984375 / 2 228541 507840 976583 547528 > 5116
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(5117, 144, S5, 90) | [i] | Truncation | |
| 2 | No OOA(5117, 143, S5, 2, 90) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(5116, 143, S5, 2, 89) | [i] | Depth Reduction | |
| 4 | No OOA(5116, 143, S5, 3, 89) | [i] | ||
| 5 | No (27, 116, 143)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(5117, 226, F5, 89) (dual of [226, 109, 90]-code) | [i] | Construction Y1 (Bound) | |