Information on Result #523773
There is no (15, 123, 136)-net in base 9, because extracting embedded orthogonal array would yield OA(9123, 136, S9, 108), but
- the linear programming bound shows that M ≥ 43937 926141 213657 416061 906681 876494 817263 274556 001188 989748 982782 114241 968389 523142 886351 436942 916837 719711 850478 384204 731164 785821 / 15 367369 428125 > 9123 [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 (15, 124, 136)-net in base 9 | [i] | m-Reduction | |
| 2 | No (15, 125, 136)-net in base 9 | [i] | ||
| 3 | No (15, 126, 136)-net in base 9 | [i] | ||
| 4 | No (15, 127, 136)-net in base 9 | [i] | ||
| 5 | No (15, 128, 136)-net in base 9 | [i] | ||
| 6 | No (15, 129, 136)-net in base 9 | [i] | ||
| 7 | No (15, 130, 136)-net in base 9 | [i] | ||
| 8 | No (15, 131, 136)-net in base 9 | [i] | ||
| 9 | No (15, 132, 136)-net in base 9 | [i] | ||
| 10 | No (15, 133, 136)-net in base 9 | [i] | ||
| 11 | No (15, 134, 136)-net in base 9 | [i] | ||
| 12 | No (15, 135, 136)-net in base 9 | [i] | ||
| 13 | No (15, 136, 136)-net in base 9 | [i] | ||
| 14 | No (15, 137, 136)-net in base 9 | [i] | ||
| 15 | No (15, 138, 136)-net in base 9 | [i] | ||
| 16 | No (15, 139, 136)-net in base 9 | [i] | ||
| 17 | No (15, 140, 136)-net in base 9 | [i] | ||
| 18 | No (15, 141, 136)-net in base 9 | [i] | ||
| 19 | No (15, 142, 136)-net in base 9 | [i] | ||
| 20 | No (15, 143, 136)-net in base 9 | [i] | ||
| 21 | No (15, 144, 136)-net in base 9 | [i] | ||
| 22 | No (15, 145, 136)-net in base 9 | [i] | ||
| 23 | No (15, 146, 136)-net in base 9 | [i] | ||
| 24 | No (15, 147, 136)-net in base 9 | [i] | ||
| 25 | No (15, 148, 136)-net in base 9 | [i] | ||
| 26 | No (15, 149, 136)-net in base 9 | [i] | ||
| 27 | No (15, 150, 136)-net in base 9 | [i] | ||
| 28 | No (15, m, 136)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |