Information on Result #523749
There is no (13, 106, 121)-net in base 9, because extracting embedded orthogonal array would yield OA(9106, 121, S9, 93), but
- the linear programming bound shows that M ≥ 14386 856892 109753 589943 480991 392045 806312 525494 995317 258231 047340 377435 156302 384720 183485 695337 425818 836413 178517 / 99301 439965 > 9106 [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 (13, 107, 121)-net in base 9 | [i] | m-Reduction | |
| 2 | No (13, 108, 121)-net in base 9 | [i] | ||
| 3 | No (13, 109, 121)-net in base 9 | [i] | ||
| 4 | No (13, 110, 121)-net in base 9 | [i] | ||
| 5 | No (13, 111, 121)-net in base 9 | [i] | ||
| 6 | No (13, 112, 121)-net in base 9 | [i] | ||
| 7 | No (13, 113, 121)-net in base 9 | [i] | ||
| 8 | No (13, 114, 121)-net in base 9 | [i] | ||
| 9 | No (13, 115, 121)-net in base 9 | [i] | ||
| 10 | No (13, 116, 121)-net in base 9 | [i] | ||
| 11 | No (13, 117, 121)-net in base 9 | [i] | ||
| 12 | No (13, 118, 121)-net in base 9 | [i] | ||
| 13 | No (13, 119, 121)-net in base 9 | [i] | ||
| 14 | No (13, 120, 121)-net in base 9 | [i] | ||
| 15 | No (13, 121, 121)-net in base 9 | [i] | ||
| 16 | No (13, 122, 121)-net in base 9 | [i] | ||
| 17 | No (13, 123, 121)-net in base 9 | [i] | ||
| 18 | No (13, 124, 121)-net in base 9 | [i] | ||
| 19 | No (13, 125, 121)-net in base 9 | [i] | ||
| 20 | No (13, 126, 121)-net in base 9 | [i] | ||
| 21 | No (13, 127, 121)-net in base 9 | [i] | ||
| 22 | No (13, 128, 121)-net in base 9 | [i] | ||
| 23 | No (13, 129, 121)-net in base 9 | [i] | ||
| 24 | No (13, 130, 121)-net in base 9 | [i] | ||
| 25 | No (13, 131, 121)-net in base 9 | [i] | ||
| 26 | No (13, 132, 121)-net in base 9 | [i] | ||
| 27 | No (13, 133, 121)-net in base 9 | [i] | ||
| 28 | No (13, 134, 121)-net in base 9 | [i] | ||
| 29 | No (13, 135, 121)-net in base 9 | [i] | ||
| 30 | No (13, 136, 121)-net in base 9 | [i] | ||
| 31 | No (13, 137, 121)-net in base 9 | [i] | ||
| 32 | No (13, 138, 121)-net in base 9 | [i] | ||
| 33 | No (13, 139, 121)-net in base 9 | [i] | ||
| 34 | No (13, 140, 121)-net in base 9 | [i] | ||
| 35 | No (13, 141, 121)-net in base 9 | [i] | ||
| 36 | No (13, 142, 121)-net in base 9 | [i] | ||
| 37 | No (13, 143, 121)-net in base 9 | [i] | ||
| 38 | No (13, 144, 121)-net in base 9 | [i] | ||
| 39 | No (13, 145, 121)-net in base 9 | [i] | ||
| 40 | No (13, 146, 121)-net in base 9 | [i] | ||
| 41 | No (13, 147, 121)-net in base 9 | [i] | ||
| 42 | No (13, 148, 121)-net in base 9 | [i] | ||
| 43 | No (13, 149, 121)-net in base 9 | [i] | ||
| 44 | No (13, 150, 121)-net in base 9 | [i] | ||
| 45 | No (13, m, 121)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |