Information on Result #523452
There is no (16, 114, 130)-net in base 8, because extracting embedded orthogonal array would yield OA(8114, 130, S8, 98), but
- the linear programming bound shows that M ≥ 35521 613223 977817 808600 584786 921883 743646 382533 111114 232182 834553 852288 928742 958552 390470 329316 634829 110683 210776 313856 / 3847 120524 212625 > 8114 [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 (16, 115, 130)-net in base 8 | [i] | m-Reduction | |
| 2 | No (16, 116, 130)-net in base 8 | [i] | ||
| 3 | No (16, 117, 130)-net in base 8 | [i] | ||
| 4 | No (16, 118, 130)-net in base 8 | [i] | ||
| 5 | No (16, 119, 130)-net in base 8 | [i] | ||
| 6 | No (16, 120, 130)-net in base 8 | [i] | ||
| 7 | No (16, 121, 130)-net in base 8 | [i] | ||
| 8 | No (16, 122, 130)-net in base 8 | [i] | ||
| 9 | No (16, 123, 130)-net in base 8 | [i] | ||
| 10 | No (16, 124, 130)-net in base 8 | [i] | ||
| 11 | No (16, 125, 130)-net in base 8 | [i] | ||
| 12 | No (16, 126, 130)-net in base 8 | [i] | ||
| 13 | No (16, 127, 130)-net in base 8 | [i] | ||
| 14 | No (16, 128, 130)-net in base 8 | [i] | ||
| 15 | No (16, 129, 130)-net in base 8 | [i] | ||
| 16 | No (16, 130, 130)-net in base 8 | [i] | ||
| 17 | No (16, 131, 130)-net in base 8 | [i] | ||
| 18 | No (16, 132, 130)-net in base 8 | [i] | ||
| 19 | No (16, 133, 130)-net in base 8 | [i] | ||
| 20 | No (16, 134, 130)-net in base 8 | [i] | ||
| 21 | No (16, 135, 130)-net in base 8 | [i] | ||
| 22 | No (16, 136, 130)-net in base 8 | [i] | ||
| 23 | No (16, 137, 130)-net in base 8 | [i] | ||
| 24 | No (16, 138, 130)-net in base 8 | [i] | ||
| 25 | No (16, 139, 130)-net in base 8 | [i] | ||
| 26 | No (16, 140, 130)-net in base 8 | [i] | ||
| 27 | No (16, 141, 130)-net in base 8 | [i] | ||
| 28 | No (16, 142, 130)-net in base 8 | [i] | ||
| 29 | No (16, 143, 130)-net in base 8 | [i] | ||
| 30 | No (16, 144, 130)-net in base 8 | [i] | ||
| 31 | No (16, 145, 130)-net in base 8 | [i] | ||
| 32 | No (16, 146, 130)-net in base 8 | [i] | ||
| 33 | No (16, 147, 130)-net in base 8 | [i] | ||
| 34 | No (16, 148, 130)-net in base 8 | [i] | ||
| 35 | No (16, 149, 130)-net in base 8 | [i] | ||
| 36 | No (16, 150, 130)-net in base 8 | [i] | ||
| 37 | No (16, 151, 130)-net in base 8 | [i] | ||
| 38 | No (16, 152, 130)-net in base 8 | [i] | ||
| 39 | No (16, 153, 130)-net in base 8 | [i] | ||
| 40 | No (16, 154, 130)-net in base 8 | [i] | ||
| 41 | No (16, 155, 130)-net in base 8 | [i] | ||
| 42 | No (16, 156, 130)-net in base 8 | [i] | ||
| 43 | No (16, 157, 130)-net in base 8 | [i] | ||
| 44 | No (16, 158, 130)-net in base 8 | [i] | ||
| 45 | No (16, 159, 130)-net in base 8 | [i] | ||
| 46 | No (16, 160, 130)-net in base 8 | [i] | ||
| 47 | No (16, 161, 130)-net in base 8 | [i] | ||
| 48 | No (16, 162, 130)-net in base 8 | [i] | ||
| 49 | No (16, 163, 130)-net in base 8 | [i] | ||
| 50 | No (16, 164, 130)-net in base 8 | [i] | ||
| 51 | No (16, 165, 130)-net in base 8 | [i] | ||
| 52 | No (16, 166, 130)-net in base 8 | [i] | ||
| 53 | No (16, 167, 130)-net in base 8 | [i] | ||
| 54 | No (16, 168, 130)-net in base 8 | [i] | ||
| 55 | No (16, 169, 130)-net in base 8 | [i] | ||
| 56 | No (16, 170, 130)-net in base 8 | [i] | ||
| 57 | No (16, 171, 130)-net in base 8 | [i] | ||
| 58 | No (16, 172, 130)-net in base 8 | [i] | ||
| 59 | No (16, 173, 130)-net in base 8 | [i] | ||
| 60 | No (16, m, 130)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |