Information on Result #548047
There is no linear OA(2524, 114, F25, 23) (dual of [114, 90, 24]-code), because construction Y1 would yield
- linear OA(2523, 27, F25, 23) (dual of [27, 4, 24]-code or 27-arc in PG(22,25)), but
- OA(2590, 114, S25, 87), but
- discarding factors would yield OA(2590, 96, S25, 87), but
- the linear programming bound shows that M ≥ 13 668865 221078 739256 015071 809629 879850 936124 576679 322503 501034 318504 064092 312472 780759 593604 486823 448240 784273 366443 812847 137451 171875 / 20 559539 > 2590 [i]
- discarding factors would yield OA(2590, 96, S25, 87), but
Mode: Bound (linear).
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 linear OOA(2524, 114, F25, 2, 23) (dual of [(114, 2), 204, 24]-NRT-code) | [i] | Depth Reduction | |
| 2 | No digital (1, 24, 114)-net over F25 | [i] | Extracting Embedded Orthogonal Array | |