Information on Result #523721
There is no (11, 95, 105)-net in base 9, because extracting embedded orthogonal array would yield OA(995, 105, S9, 84), but
- the linear programming bound shows that M ≥ 1240 505866 046627 131068 555034 347769 450501 463301 708903 427699 923262 975474 963339 381628 644774 672768 499337 / 265 061875 > 995 [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 (11, 96, 105)-net in base 9 | [i] | m-Reduction | |
| 2 | No (11, 97, 105)-net in base 9 | [i] | ||
| 3 | No (11, 98, 105)-net in base 9 | [i] | ||
| 4 | No (11, 99, 105)-net in base 9 | [i] | ||
| 5 | No (11, 100, 105)-net in base 9 | [i] | ||
| 6 | No (11, 101, 105)-net in base 9 | [i] | ||
| 7 | No (11, 102, 105)-net in base 9 | [i] | ||
| 8 | No (11, 103, 105)-net in base 9 | [i] | ||
| 9 | No (11, 104, 105)-net in base 9 | [i] | ||
| 10 | No (11, 105, 105)-net in base 9 | [i] | ||
| 11 | No (11, 106, 105)-net in base 9 | [i] | ||
| 12 | No (11, 107, 105)-net in base 9 | [i] | ||
| 13 | No (11, 108, 105)-net in base 9 | [i] | ||
| 14 | No (11, 109, 105)-net in base 9 | [i] | ||
| 15 | No (11, 110, 105)-net in base 9 | [i] | ||
| 16 | No (11, 111, 105)-net in base 9 | [i] | ||
| 17 | No (11, 112, 105)-net in base 9 | [i] | ||
| 18 | No (11, 113, 105)-net in base 9 | [i] | ||
| 19 | No (11, 114, 105)-net in base 9 | [i] | ||
| 20 | No (11, 115, 105)-net in base 9 | [i] | ||
| 21 | No (11, 116, 105)-net in base 9 | [i] | ||
| 22 | No (11, 117, 105)-net in base 9 | [i] | ||
| 23 | No (11, 118, 105)-net in base 9 | [i] | ||
| 24 | No (11, 119, 105)-net in base 9 | [i] | ||
| 25 | No (11, 120, 105)-net in base 9 | [i] | ||
| 26 | No (11, 121, 105)-net in base 9 | [i] | ||
| 27 | No (11, 122, 105)-net in base 9 | [i] | ||
| 28 | No (11, 123, 105)-net in base 9 | [i] | ||
| 29 | No (11, 124, 105)-net in base 9 | [i] | ||
| 30 | No (11, 125, 105)-net in base 9 | [i] | ||
| 31 | No (11, 126, 105)-net in base 9 | [i] | ||
| 32 | No (11, 127, 105)-net in base 9 | [i] | ||
| 33 | No (11, 128, 105)-net in base 9 | [i] | ||
| 34 | No (11, 129, 105)-net in base 9 | [i] | ||
| 35 | No (11, 130, 105)-net in base 9 | [i] | ||
| 36 | No (11, 131, 105)-net in base 9 | [i] | ||
| 37 | No (11, 132, 105)-net in base 9 | [i] | ||
| 38 | No (11, 133, 105)-net in base 9 | [i] | ||
| 39 | No (11, 134, 105)-net in base 9 | [i] | ||
| 40 | No (11, 135, 105)-net in base 9 | [i] | ||
| 41 | No (11, 136, 105)-net in base 9 | [i] | ||
| 42 | No (11, 137, 105)-net in base 9 | [i] | ||
| 43 | No (11, 138, 105)-net in base 9 | [i] | ||
| 44 | No (11, 139, 105)-net in base 9 | [i] | ||
| 45 | No (11, 140, 105)-net in base 9 | [i] | ||
| 46 | No (11, 141, 105)-net in base 9 | [i] | ||
| 47 | No (11, 142, 105)-net in base 9 | [i] | ||
| 48 | No (11, 143, 105)-net in base 9 | [i] | ||
| 49 | No (11, 144, 105)-net in base 9 | [i] | ||
| 50 | No (11, 145, 105)-net in base 9 | [i] | ||
| 51 | No (11, 146, 105)-net in base 9 | [i] | ||
| 52 | No (11, 147, 105)-net in base 9 | [i] | ||
| 53 | No (11, 148, 105)-net in base 9 | [i] | ||
| 54 | No (11, 149, 105)-net in base 9 | [i] | ||
| 55 | No (11, 150, 105)-net in base 9 | [i] | ||
| 56 | No (11, m, 105)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |