Information on Result #523463
There is no (17, 121, 137)-net in base 8, because extracting embedded orthogonal array would yield OA(8121, 137, S8, 104), but
- the linear programming bound shows that M ≥ 13066 856935 963523 721024 625401 270709 435452 350217 785478 549632 311553 515794 037630 134130 713931 717708 202057 690742 978515 268863 524864 / 568 730779 782165 > 8121 [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 (17, 122, 137)-net in base 8 | [i] | m-Reduction | |
| 2 | No (17, 123, 137)-net in base 8 | [i] | ||
| 3 | No (17, 124, 137)-net in base 8 | [i] | ||
| 4 | No (17, 125, 137)-net in base 8 | [i] | ||
| 5 | No (17, 126, 137)-net in base 8 | [i] | ||
| 6 | No (17, 127, 137)-net in base 8 | [i] | ||
| 7 | No (17, 128, 137)-net in base 8 | [i] | ||
| 8 | No (17, 129, 137)-net in base 8 | [i] | ||
| 9 | No (17, 130, 137)-net in base 8 | [i] | ||
| 10 | No (17, 131, 137)-net in base 8 | [i] | ||
| 11 | No (17, 132, 137)-net in base 8 | [i] | ||
| 12 | No (17, 133, 137)-net in base 8 | [i] | ||
| 13 | No (17, 134, 137)-net in base 8 | [i] | ||
| 14 | No (17, 135, 137)-net in base 8 | [i] | ||
| 15 | No (17, 136, 137)-net in base 8 | [i] | ||
| 16 | No (17, 137, 137)-net in base 8 | [i] | ||
| 17 | No (17, 138, 137)-net in base 8 | [i] | ||
| 18 | No (17, 139, 137)-net in base 8 | [i] | ||
| 19 | No (17, 140, 137)-net in base 8 | [i] | ||
| 20 | No (17, 141, 137)-net in base 8 | [i] | ||
| 21 | No (17, 142, 137)-net in base 8 | [i] | ||
| 22 | No (17, 143, 137)-net in base 8 | [i] | ||
| 23 | No (17, 144, 137)-net in base 8 | [i] | ||
| 24 | No (17, 145, 137)-net in base 8 | [i] | ||
| 25 | No (17, 146, 137)-net in base 8 | [i] | ||
| 26 | No (17, 147, 137)-net in base 8 | [i] | ||
| 27 | No (17, 148, 137)-net in base 8 | [i] | ||
| 28 | No (17, 149, 137)-net in base 8 | [i] | ||
| 29 | No (17, 150, 137)-net in base 8 | [i] | ||
| 30 | No (17, 151, 137)-net in base 8 | [i] | ||
| 31 | No (17, 152, 137)-net in base 8 | [i] | ||
| 32 | No (17, 153, 137)-net in base 8 | [i] | ||
| 33 | No (17, 154, 137)-net in base 8 | [i] | ||
| 34 | No (17, 155, 137)-net in base 8 | [i] | ||
| 35 | No (17, 156, 137)-net in base 8 | [i] | ||
| 36 | No (17, 157, 137)-net in base 8 | [i] | ||
| 37 | No (17, 158, 137)-net in base 8 | [i] | ||
| 38 | No (17, 159, 137)-net in base 8 | [i] | ||
| 39 | No (17, 160, 137)-net in base 8 | [i] | ||
| 40 | No (17, 161, 137)-net in base 8 | [i] | ||
| 41 | No (17, 162, 137)-net in base 8 | [i] | ||
| 42 | No (17, 163, 137)-net in base 8 | [i] | ||
| 43 | No (17, 164, 137)-net in base 8 | [i] | ||
| 44 | No (17, 165, 137)-net in base 8 | [i] | ||
| 45 | No (17, 166, 137)-net in base 8 | [i] | ||
| 46 | No (17, 167, 137)-net in base 8 | [i] | ||
| 47 | No (17, 168, 137)-net in base 8 | [i] | ||
| 48 | No (17, 169, 137)-net in base 8 | [i] | ||
| 49 | No (17, 170, 137)-net in base 8 | [i] | ||
| 50 | No (17, 171, 137)-net in base 8 | [i] | ||
| 51 | No (17, 172, 137)-net in base 8 | [i] | ||
| 52 | No (17, 173, 137)-net in base 8 | [i] | ||
| 53 | No (17, m, 137)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |