Information on Result #523607
There is no (7, 67, 74)-net in base 9, because extracting embedded orthogonal array would yield OA(967, 74, S9, 60), but
- the linear programming bound shows that M ≥ 985656 408650 624771 763245 030155 475596 055326 621140 743196 169188 696976 053441 / 111 718145 > 967 [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 (7, 68, 74)-net in base 9 | [i] | m-Reduction | |
| 2 | No (7, 69, 74)-net in base 9 | [i] | ||
| 3 | No (7, 70, 74)-net in base 9 | [i] | ||
| 4 | No (7, 71, 74)-net in base 9 | [i] | ||
| 5 | No (7, 72, 74)-net in base 9 | [i] | ||
| 6 | No (7, 73, 74)-net in base 9 | [i] | ||
| 7 | No (7, 74, 74)-net in base 9 | [i] | ||
| 8 | No (7, 75, 74)-net in base 9 | [i] | ||
| 9 | No (7, 76, 74)-net in base 9 | [i] | ||
| 10 | No (7, 77, 74)-net in base 9 | [i] | ||
| 11 | No (7, 78, 74)-net in base 9 | [i] | ||
| 12 | No (7, 79, 74)-net in base 9 | [i] | ||
| 13 | No (7, 80, 74)-net in base 9 | [i] | ||
| 14 | No (7, 81, 74)-net in base 9 | [i] | ||
| 15 | No (7, 82, 74)-net in base 9 | [i] | ||
| 16 | No (7, 83, 74)-net in base 9 | [i] | ||
| 17 | No (7, 84, 74)-net in base 9 | [i] | ||
| 18 | No (7, 85, 74)-net in base 9 | [i] | ||
| 19 | No (7, 86, 74)-net in base 9 | [i] | ||
| 20 | No (7, 87, 74)-net in base 9 | [i] | ||
| 21 | No (7, 88, 74)-net in base 9 | [i] | ||
| 22 | No (7, 89, 74)-net in base 9 | [i] | ||
| 23 | No (7, 90, 74)-net in base 9 | [i] | ||
| 24 | No (7, 91, 74)-net in base 9 | [i] | ||
| 25 | No (7, 92, 74)-net in base 9 | [i] | ||
| 26 | No (7, 93, 74)-net in base 9 | [i] | ||
| 27 | No (7, 94, 74)-net in base 9 | [i] | ||
| 28 | No (7, 95, 74)-net in base 9 | [i] | ||
| 29 | No (7, 96, 74)-net in base 9 | [i] | ||
| 30 | No (7, 97, 74)-net in base 9 | [i] | ||
| 31 | No (7, 98, 74)-net in base 9 | [i] | ||
| 32 | No (7, 99, 74)-net in base 9 | [i] | ||
| 33 | No (7, 100, 74)-net in base 9 | [i] | ||
| 34 | No (7, 101, 74)-net in base 9 | [i] | ||
| 35 | No (7, 102, 74)-net in base 9 | [i] | ||
| 36 | No (7, 103, 74)-net in base 9 | [i] | ||
| 37 | No (7, 104, 74)-net in base 9 | [i] | ||
| 38 | No (7, 105, 74)-net in base 9 | [i] | ||
| 39 | No (7, 106, 74)-net in base 9 | [i] | ||
| 40 | No (7, 107, 74)-net in base 9 | [i] | ||
| 41 | No (7, 108, 74)-net in base 9 | [i] | ||
| 42 | No (7, 109, 74)-net in base 9 | [i] | ||
| 43 | No (7, 110, 74)-net in base 9 | [i] | ||
| 44 | No (7, 111, 74)-net in base 9 | [i] | ||
| 45 | No (7, 112, 74)-net in base 9 | [i] | ||
| 46 | No (7, 113, 74)-net in base 9 | [i] | ||
| 47 | No (7, 114, 74)-net in base 9 | [i] | ||
| 48 | No (7, 115, 74)-net in base 9 | [i] | ||
| 49 | No (7, 116, 74)-net in base 9 | [i] | ||
| 50 | No (7, 117, 74)-net in base 9 | [i] | ||
| 51 | No (7, 118, 74)-net in base 9 | [i] | ||
| 52 | No (7, 119, 74)-net in base 9 | [i] | ||
| 53 | No (7, 120, 74)-net in base 9 | [i] | ||
| 54 | No (7, 121, 74)-net in base 9 | [i] | ||
| 55 | No (7, 122, 74)-net in base 9 | [i] | ||
| 56 | No (7, 123, 74)-net in base 9 | [i] | ||
| 57 | No (7, 124, 74)-net in base 9 | [i] | ||
| 58 | No (7, 125, 74)-net in base 9 | [i] | ||
| 59 | No (7, 126, 74)-net in base 9 | [i] | ||
| 60 | No (7, 127, 74)-net in base 9 | [i] | ||
| 61 | No (7, 128, 74)-net in base 9 | [i] | ||
| 62 | No (7, 129, 74)-net in base 9 | [i] | ||
| 63 | No (7, 130, 74)-net in base 9 | [i] | ||
| 64 | No (7, 131, 74)-net in base 9 | [i] | ||
| 65 | No (7, 132, 74)-net in base 9 | [i] | ||
| 66 | No (7, 133, 74)-net in base 9 | [i] | ||
| 67 | No (7, 134, 74)-net in base 9 | [i] | ||
| 68 | No (7, 135, 74)-net in base 9 | [i] | ||
| 69 | No (7, 136, 74)-net in base 9 | [i] | ||
| 70 | No (7, 137, 74)-net in base 9 | [i] | ||
| 71 | No (7, 138, 74)-net in base 9 | [i] | ||
| 72 | No (7, 139, 74)-net in base 9 | [i] | ||
| 73 | No (7, 140, 74)-net in base 9 | [i] | ||
| 74 | No (7, 141, 74)-net in base 9 | [i] | ||
| 75 | No (7, 142, 74)-net in base 9 | [i] | ||
| 76 | No (7, 143, 74)-net in base 9 | [i] | ||
| 77 | No (7, 144, 74)-net in base 9 | [i] | ||
| 78 | No (7, 145, 74)-net in base 9 | [i] | ||
| 79 | No (7, 146, 74)-net in base 9 | [i] | ||
| 80 | No (7, 147, 74)-net in base 9 | [i] | ||
| 81 | No (7, 148, 74)-net in base 9 | [i] | ||
| 82 | No (7, 149, 74)-net in base 9 | [i] | ||
| 83 | No (7, 150, 74)-net in base 9 | [i] | ||
| 84 | No (7, m, 74)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |