Information on Result #60571
There is no OA(562, 190, S5, 44), because the linear programming bound shows that M ≥ 5 531619 630605 621733 791634 558919 444104 118885 526484 067787 791939 510637 894272 804260 253906 250000 000000 000000 / 236416 842360 352611 941840 260955 732881 660879 805306 461094 587839 > 562
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(562, 190, S5, 2, 44) | [i] | Depth Reduction | |
| 2 | No OOA(562, 190, S5, 3, 44) | [i] | ||
| 3 | No (18, 62, 190)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(5130, 192, F5, 100) (dual of [192, 62, 101]-code) | [i] | Construction Y1 (Bound) | |