Information on Result #522711
There is no (24, 112, 125)-net in base 5, because extracting embedded orthogonal array would yield OA(5112, 125, S5, 88), but
- the linear programming bound shows that M ≥ 34583 984196 672356 314446 603914 308245 637967 395612 680232 552804 682200 076058 506965 637207 031250 / 13859 944813 > 5112 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (24, 113, 125)-net in base 5 | [i] | m-Reduction | |
| 2 | No (24, 114, 125)-net in base 5 | [i] | ||
| 3 | No (24, 115, 125)-net in base 5 | [i] | ||
| 4 | No (24, 116, 125)-net in base 5 | [i] | ||
| 5 | No (24, 117, 125)-net in base 5 | [i] | ||
| 6 | No (24, 118, 125)-net in base 5 | [i] | ||
| 7 | No (24, 119, 125)-net in base 5 | [i] | ||
| 8 | No (24, 120, 125)-net in base 5 | [i] | ||
| 9 | No (24, 121, 125)-net in base 5 | [i] | ||
| 10 | No (24, 122, 125)-net in base 5 | [i] | ||
| 11 | No (24, 123, 125)-net in base 5 | [i] | ||
| 12 | No (24, 124, 125)-net in base 5 | [i] | ||
| 13 | No (24, 125, 125)-net in base 5 | [i] | ||
| 14 | No (24, 126, 125)-net in base 5 | [i] | ||
| 15 | No (24, 127, 125)-net in base 5 | [i] | ||
| 16 | No (24, 128, 125)-net in base 5 | [i] | ||
| 17 | No (24, 129, 125)-net in base 5 | [i] | ||
| 18 | No (24, 130, 125)-net in base 5 | [i] | ||
| 19 | No (24, 131, 125)-net in base 5 | [i] | ||
| 20 | No (24, 132, 125)-net in base 5 | [i] | ||
| 21 | No (24, 133, 125)-net in base 5 | [i] | ||
| 22 | No (24, 134, 125)-net in base 5 | [i] | ||
| 23 | No (24, 135, 125)-net in base 5 | [i] | ||
| 24 | No (24, 136, 125)-net in base 5 | [i] | ||
| 25 | No (24, 137, 125)-net in base 5 | [i] | ||
| 26 | No (24, 138, 125)-net in base 5 | [i] | ||
| 27 | No (24, 139, 125)-net in base 5 | [i] | ||
| 28 | No (24, 140, 125)-net in base 5 | [i] | ||
| 29 | No (24, 141, 125)-net in base 5 | [i] | ||
| 30 | No (24, 142, 125)-net in base 5 | [i] | ||
| 31 | No (24, 143, 125)-net in base 5 | [i] | ||
| 32 | No (24, 144, 125)-net in base 5 | [i] | ||
| 33 | No (24, 145, 125)-net in base 5 | [i] | ||
| 34 | No (24, 146, 125)-net in base 5 | [i] | ||
| 35 | No (24, 147, 125)-net in base 5 | [i] | ||
| 36 | No (24, 148, 125)-net in base 5 | [i] | ||
| 37 | No (24, 149, 125)-net in base 5 | [i] | ||
| 38 | No (24, 150, 125)-net in base 5 | [i] | ||