Information on Result #60839
There is no OA(5109, 147, S5, 83), because the linear programming bound shows that M ≥ 97832 005097 623965 961965 091455 398251 491670 818930 622769 438002 739592 061328 226246 796901 932611 945085 227489 471435 546875 / 5 803319 642355 292721 815985 390811 721467 > 5109
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 OOA(5109, 147, S5, 2, 83) | [i] | Depth Reduction | |
| 2 | No OOA(5109, 147, S5, 3, 83) | [i] | ||
| 3 | No (26, 109, 147)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(5113, 222, F5, 86) (dual of [222, 109, 87]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(5117, 226, F5, 89) (dual of [226, 109, 90]-code) | [i] | ||