Information on Result #60847
There is no OA(5111, 143, S5, 85), because the linear programming bound shows that M ≥ 220 445839 236062 243251 966630 886846 194373 438661 017264 989094 781670 909972 692840 028685 168363 153934 478759 765625 / 378 761134 914432 479453 277033 > 5111
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(5111, 143, S5, 2, 85) | [i] | Depth Reduction | |
| 2 | No OOA(5111, 143, S5, 3, 85) | [i] | ||
| 3 | No (26, 111, 143)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(5112, 253, F5, 85) (dual of [253, 141, 86]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(5112, 252, F5, 85) (dual of [252, 140, 86]-code) | [i] | ||