Information on Result #522561
There is no (15, 72, 84)-net in base 5, because extracting embedded orthogonal array would yield OA(572, 84, S5, 57), but
- the linear programming bound shows that M ≥ 1 900530 175401 836385 784548 610899 946652 352809 906005 859375 / 8671 > 572 [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 (15, 73, 84)-net in base 5 | [i] | m-Reduction | |
| 2 | No (15, 74, 84)-net in base 5 | [i] | ||
| 3 | No (15, 75, 84)-net in base 5 | [i] | ||
| 4 | No (15, 76, 84)-net in base 5 | [i] | ||
| 5 | No (15, 77, 84)-net in base 5 | [i] | ||
| 6 | No (15, 78, 84)-net in base 5 | [i] | ||
| 7 | No (15, 79, 84)-net in base 5 | [i] | ||
| 8 | No (15, 80, 84)-net in base 5 | [i] | ||
| 9 | No (15, 81, 84)-net in base 5 | [i] | ||
| 10 | No (15, 82, 84)-net in base 5 | [i] | ||
| 11 | No (15, 83, 84)-net in base 5 | [i] | ||
| 12 | No (15, 84, 84)-net in base 5 | [i] | ||
| 13 | No (15, 85, 84)-net in base 5 | [i] | ||
| 14 | No (15, 86, 84)-net in base 5 | [i] | ||
| 15 | No (15, 87, 84)-net in base 5 | [i] | ||
| 16 | No (15, 88, 84)-net in base 5 | [i] | ||
| 17 | No (15, 89, 84)-net in base 5 | [i] | ||
| 18 | No (15, 90, 84)-net in base 5 | [i] | ||
| 19 | No (15, 91, 84)-net in base 5 | [i] | ||
| 20 | No (15, 92, 84)-net in base 5 | [i] | ||
| 21 | No (15, 93, 84)-net in base 5 | [i] | ||
| 22 | No (15, 94, 84)-net in base 5 | [i] | ||
| 23 | No (15, 95, 84)-net in base 5 | [i] | ||
| 24 | No (15, 96, 84)-net in base 5 | [i] | ||
| 25 | No (15, 97, 84)-net in base 5 | [i] | ||
| 26 | No (15, 98, 84)-net in base 5 | [i] | ||
| 27 | No (15, 99, 84)-net in base 5 | [i] | ||
| 28 | No (15, 100, 84)-net in base 5 | [i] | ||
| 29 | No (15, 101, 84)-net in base 5 | [i] | ||
| 30 | No (15, 102, 84)-net in base 5 | [i] | ||
| 31 | No (15, 103, 84)-net in base 5 | [i] | ||
| 32 | No (15, 104, 84)-net in base 5 | [i] | ||
| 33 | No (15, 105, 84)-net in base 5 | [i] | ||
| 34 | No (15, 106, 84)-net in base 5 | [i] | ||
| 35 | No (15, 107, 84)-net in base 5 | [i] | ||
| 36 | No (15, 108, 84)-net in base 5 | [i] | ||
| 37 | No (15, 109, 84)-net in base 5 | [i] | ||
| 38 | No (15, 110, 84)-net in base 5 | [i] | ||
| 39 | No (15, 111, 84)-net in base 5 | [i] | ||
| 40 | No (15, 112, 84)-net in base 5 | [i] | ||
| 41 | No (15, 113, 84)-net in base 5 | [i] | ||
| 42 | No (15, 114, 84)-net in base 5 | [i] | ||
| 43 | No (15, 115, 84)-net in base 5 | [i] | ||
| 44 | No (15, 116, 84)-net in base 5 | [i] | ||
| 45 | No (15, 117, 84)-net in base 5 | [i] | ||
| 46 | No (15, 118, 84)-net in base 5 | [i] | ||
| 47 | No (15, 119, 84)-net in base 5 | [i] | ||
| 48 | No (15, 120, 84)-net in base 5 | [i] | ||
| 49 | No (15, 121, 84)-net in base 5 | [i] | ||
| 50 | No (15, 122, 84)-net in base 5 | [i] | ||
| 51 | No (15, 123, 84)-net in base 5 | [i] | ||
| 52 | No (15, 124, 84)-net in base 5 | [i] | ||
| 53 | No (15, 125, 84)-net in base 5 | [i] | ||
| 54 | No (15, 126, 84)-net in base 5 | [i] | ||
| 55 | No (15, 127, 84)-net in base 5 | [i] | ||
| 56 | No (15, 128, 84)-net in base 5 | [i] | ||
| 57 | No (15, 129, 84)-net in base 5 | [i] | ||
| 58 | No (15, 130, 84)-net in base 5 | [i] | ||
| 59 | No (15, 131, 84)-net in base 5 | [i] | ||
| 60 | No (15, 132, 84)-net in base 5 | [i] | ||
| 61 | No (15, 133, 84)-net in base 5 | [i] | ||
| 62 | No (15, 134, 84)-net in base 5 | [i] | ||
| 63 | No (15, 135, 84)-net in base 5 | [i] | ||
| 64 | No (15, 136, 84)-net in base 5 | [i] | ||
| 65 | No (15, 137, 84)-net in base 5 | [i] | ||
| 66 | No (15, 138, 84)-net in base 5 | [i] | ||
| 67 | No (15, 139, 84)-net in base 5 | [i] | ||
| 68 | No (15, 140, 84)-net in base 5 | [i] | ||
| 69 | No (15, 141, 84)-net in base 5 | [i] | ||
| 70 | No (15, 142, 84)-net in base 5 | [i] | ||
| 71 | No (15, 143, 84)-net in base 5 | [i] | ||
| 72 | No (15, 144, 84)-net in base 5 | [i] | ||
| 73 | No (15, 145, 84)-net in base 5 | [i] | ||
| 74 | No (15, 146, 84)-net in base 5 | [i] | ||
| 75 | No (15, 147, 84)-net in base 5 | [i] | ||