Information on Result #523557
There is no (5, 50, 57)-net in base 9, because extracting embedded orthogonal array would yield OA(950, 57, S9, 45), but
- the linear programming bound shows that M ≥ 298105 180919 330726 109440 883140 160422 177625 734983 340421 / 537625 > 950 [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 (5, 51, 57)-net in base 9 | [i] | m-Reduction | |
| 2 | No (5, 52, 57)-net in base 9 | [i] | ||
| 3 | No (5, 53, 57)-net in base 9 | [i] | ||
| 4 | No (5, 54, 57)-net in base 9 | [i] | ||
| 5 | No (5, 55, 57)-net in base 9 | [i] | ||
| 6 | No (5, 56, 57)-net in base 9 | [i] | ||
| 7 | No (5, 57, 57)-net in base 9 | [i] | ||
| 8 | No (5, 58, 57)-net in base 9 | [i] | ||
| 9 | No (5, 59, 57)-net in base 9 | [i] | ||
| 10 | No (5, 60, 57)-net in base 9 | [i] | ||
| 11 | No (5, 61, 57)-net in base 9 | [i] | ||
| 12 | No (5, 62, 57)-net in base 9 | [i] | ||
| 13 | No (5, 63, 57)-net in base 9 | [i] | ||
| 14 | No (5, 64, 57)-net in base 9 | [i] | ||
| 15 | No (5, 65, 57)-net in base 9 | [i] | ||
| 16 | No (5, 66, 57)-net in base 9 | [i] | ||
| 17 | No (5, 67, 57)-net in base 9 | [i] | ||
| 18 | No (5, 68, 57)-net in base 9 | [i] | ||
| 19 | No (5, 69, 57)-net in base 9 | [i] | ||
| 20 | No (5, 70, 57)-net in base 9 | [i] | ||
| 21 | No (5, 71, 57)-net in base 9 | [i] | ||
| 22 | No (5, 72, 57)-net in base 9 | [i] | ||
| 23 | No (5, 73, 57)-net in base 9 | [i] | ||
| 24 | No (5, 74, 57)-net in base 9 | [i] | ||
| 25 | No (5, 75, 57)-net in base 9 | [i] | ||
| 26 | No (5, 76, 57)-net in base 9 | [i] | ||
| 27 | No (5, 77, 57)-net in base 9 | [i] | ||
| 28 | No (5, 78, 57)-net in base 9 | [i] | ||
| 29 | No (5, 79, 57)-net in base 9 | [i] | ||
| 30 | No (5, 80, 57)-net in base 9 | [i] | ||
| 31 | No (5, 81, 57)-net in base 9 | [i] | ||
| 32 | No (5, 82, 57)-net in base 9 | [i] | ||
| 33 | No (5, 83, 57)-net in base 9 | [i] | ||
| 34 | No (5, 84, 57)-net in base 9 | [i] | ||
| 35 | No (5, 85, 57)-net in base 9 | [i] | ||
| 36 | No (5, 86, 57)-net in base 9 | [i] | ||
| 37 | No (5, 87, 57)-net in base 9 | [i] | ||
| 38 | No (5, 88, 57)-net in base 9 | [i] | ||
| 39 | No (5, 89, 57)-net in base 9 | [i] | ||
| 40 | No (5, 90, 57)-net in base 9 | [i] | ||
| 41 | No (5, 91, 57)-net in base 9 | [i] | ||
| 42 | No (5, 92, 57)-net in base 9 | [i] | ||
| 43 | No (5, 93, 57)-net in base 9 | [i] | ||
| 44 | No (5, 94, 57)-net in base 9 | [i] | ||
| 45 | No (5, 95, 57)-net in base 9 | [i] | ||
| 46 | No (5, 96, 57)-net in base 9 | [i] | ||
| 47 | No (5, 97, 57)-net in base 9 | [i] | ||
| 48 | No (5, 98, 57)-net in base 9 | [i] | ||
| 49 | No (5, 99, 57)-net in base 9 | [i] | ||
| 50 | No (5, 100, 57)-net in base 9 | [i] | ||
| 51 | No (5, 101, 57)-net in base 9 | [i] | ||
| 52 | No (5, 102, 57)-net in base 9 | [i] | ||
| 53 | No (5, 103, 57)-net in base 9 | [i] | ||
| 54 | No (5, 104, 57)-net in base 9 | [i] | ||
| 55 | No (5, 105, 57)-net in base 9 | [i] | ||
| 56 | No (5, 106, 57)-net in base 9 | [i] | ||
| 57 | No (5, 107, 57)-net in base 9 | [i] | ||
| 58 | No (5, 108, 57)-net in base 9 | [i] | ||
| 59 | No (5, 109, 57)-net in base 9 | [i] | ||
| 60 | No (5, 110, 57)-net in base 9 | [i] | ||
| 61 | No (5, 111, 57)-net in base 9 | [i] | ||
| 62 | No (5, 112, 57)-net in base 9 | [i] | ||
| 63 | No (5, 113, 57)-net in base 9 | [i] | ||
| 64 | No (5, 114, 57)-net in base 9 | [i] | ||
| 65 | No (5, 115, 57)-net in base 9 | [i] | ||
| 66 | No (5, 116, 57)-net in base 9 | [i] | ||
| 67 | No (5, 117, 57)-net in base 9 | [i] | ||
| 68 | No (5, 118, 57)-net in base 9 | [i] | ||
| 69 | No (5, 119, 57)-net in base 9 | [i] | ||
| 70 | No (5, 120, 57)-net in base 9 | [i] | ||
| 71 | No (5, 121, 57)-net in base 9 | [i] | ||
| 72 | No (5, 122, 57)-net in base 9 | [i] | ||
| 73 | No (5, 123, 57)-net in base 9 | [i] | ||
| 74 | No (5, 124, 57)-net in base 9 | [i] | ||
| 75 | No (5, 125, 57)-net in base 9 | [i] | ||
| 76 | No (5, 126, 57)-net in base 9 | [i] | ||
| 77 | No (5, 127, 57)-net in base 9 | [i] | ||
| 78 | No (5, 128, 57)-net in base 9 | [i] | ||
| 79 | No (5, 129, 57)-net in base 9 | [i] | ||
| 80 | No (5, 130, 57)-net in base 9 | [i] | ||
| 81 | No (5, 131, 57)-net in base 9 | [i] | ||
| 82 | No (5, 132, 57)-net in base 9 | [i] | ||
| 83 | No (5, 133, 57)-net in base 9 | [i] | ||
| 84 | No (5, 134, 57)-net in base 9 | [i] | ||
| 85 | No (5, 135, 57)-net in base 9 | [i] | ||
| 86 | No (5, 136, 57)-net in base 9 | [i] | ||
| 87 | No (5, 137, 57)-net in base 9 | [i] | ||
| 88 | No (5, 138, 57)-net in base 9 | [i] | ||
| 89 | No (5, 139, 57)-net in base 9 | [i] | ||
| 90 | No (5, 140, 57)-net in base 9 | [i] | ||
| 91 | No (5, 141, 57)-net in base 9 | [i] | ||
| 92 | No (5, 142, 57)-net in base 9 | [i] | ||
| 93 | No (5, 143, 57)-net in base 9 | [i] | ||
| 94 | No (5, 144, 57)-net in base 9 | [i] | ||
| 95 | No (5, 145, 57)-net in base 9 | [i] | ||
| 96 | No (5, 146, 57)-net in base 9 | [i] | ||
| 97 | No (5, 147, 57)-net in base 9 | [i] | ||
| 98 | No (5, 148, 57)-net in base 9 | [i] | ||
| 99 | No (5, 149, 57)-net in base 9 | [i] | ||
| 100 | No (5, 150, 57)-net in base 9 | [i] | ||
| 101 | No (5, m, 57)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |