Information on Result #60775
There is no OA(595, 145, S5, 72), because the linear programming bound shows that M ≥ 681 594308 011084 642541 521008 533375 736738 792368 662881 901785 086204 561152 741164 839513 298410 490771 406244 903118 931688 368320 465087 890625 / 251 826768 360176 313961 784872 463983 728554 549094 621216 187309 311959 > 595
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(595, 145, S5, 2, 72) | [i] | Depth Reduction | |
| 2 | No OOA(595, 145, S5, 3, 72) | [i] | ||
| 3 | No (23, 95, 145)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(5119, 214, F5, 91) (dual of [214, 95, 92]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(5123, 218, F5, 94) (dual of [218, 95, 95]-code) | [i] | ||
| 6 | No linear OA(5127, 222, F5, 97) (dual of [222, 95, 98]-code) | [i] | ||