Information on Result #522755
There is no (29, 131, 147)-net in base 5, because extracting embedded orthogonal array would yield OA(5131, 147, S5, 102), but
- the linear programming bound shows that M ≥ 249 236477 010921 693845 684281 987701 342304 847343 669838 056342 020625 628930 208250 721989 315934 479236 602783 203125 / 6 326951 585981 > 5131 [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 (29, 132, 147)-net in base 5 | [i] | m-Reduction | |
| 2 | No (29, 133, 147)-net in base 5 | [i] | ||
| 3 | No (29, 134, 147)-net in base 5 | [i] | ||
| 4 | No (29, 135, 147)-net in base 5 | [i] | ||
| 5 | No (29, 136, 147)-net in base 5 | [i] | ||
| 6 | No (29, 137, 147)-net in base 5 | [i] | ||
| 7 | No (29, 138, 147)-net in base 5 | [i] | ||
| 8 | No (29, 139, 147)-net in base 5 | [i] | ||
| 9 | No (29, 140, 147)-net in base 5 | [i] | ||
| 10 | No (29, 141, 147)-net in base 5 | [i] | ||
| 11 | No (29, 142, 147)-net in base 5 | [i] | ||
| 12 | No (29, 143, 147)-net in base 5 | [i] | ||
| 13 | No (29, 144, 147)-net in base 5 | [i] | ||
| 14 | No (29, 145, 147)-net in base 5 | [i] | ||
| 15 | No (29, 146, 147)-net in base 5 | [i] | ||
| 16 | No (29, 147, 147)-net in base 5 | [i] | ||
| 17 | No (29, 148, 147)-net in base 5 | [i] | ||
| 18 | No (29, 149, 147)-net in base 5 | [i] | ||
| 19 | No (29, 150, 147)-net in base 5 | [i] | ||