Information on Result #522628
There is no (18, 86, 98)-net in base 5, because extracting embedded orthogonal array would yield OA(586, 98, S5, 68), but
- the linear programming bound shows that M ≥ 874 729765 284188 678803 006084 493121 274903 160156 100057 065486 907958 984375 / 543 471687 > 586 [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 (18, 87, 98)-net in base 5 | [i] | m-Reduction | |
| 2 | No (18, 88, 98)-net in base 5 | [i] | ||
| 3 | No (18, 89, 98)-net in base 5 | [i] | ||
| 4 | No (18, 90, 98)-net in base 5 | [i] | ||
| 5 | No (18, 91, 98)-net in base 5 | [i] | ||
| 6 | No (18, 92, 98)-net in base 5 | [i] | ||
| 7 | No (18, 93, 98)-net in base 5 | [i] | ||
| 8 | No (18, 94, 98)-net in base 5 | [i] | ||
| 9 | No (18, 95, 98)-net in base 5 | [i] | ||
| 10 | No (18, 96, 98)-net in base 5 | [i] | ||
| 11 | No (18, 97, 98)-net in base 5 | [i] | ||
| 12 | No (18, 98, 98)-net in base 5 | [i] | ||
| 13 | No (18, 99, 98)-net in base 5 | [i] | ||
| 14 | No (18, 100, 98)-net in base 5 | [i] | ||
| 15 | No (18, 101, 98)-net in base 5 | [i] | ||
| 16 | No (18, 102, 98)-net in base 5 | [i] | ||
| 17 | No (18, 103, 98)-net in base 5 | [i] | ||
| 18 | No (18, 104, 98)-net in base 5 | [i] | ||
| 19 | No (18, 105, 98)-net in base 5 | [i] | ||
| 20 | No (18, 106, 98)-net in base 5 | [i] | ||
| 21 | No (18, 107, 98)-net in base 5 | [i] | ||
| 22 | No (18, 108, 98)-net in base 5 | [i] | ||
| 23 | No (18, 109, 98)-net in base 5 | [i] | ||
| 24 | No (18, 110, 98)-net in base 5 | [i] | ||
| 25 | No (18, 111, 98)-net in base 5 | [i] | ||
| 26 | No (18, 112, 98)-net in base 5 | [i] | ||
| 27 | No (18, 113, 98)-net in base 5 | [i] | ||
| 28 | No (18, 114, 98)-net in base 5 | [i] | ||
| 29 | No (18, 115, 98)-net in base 5 | [i] | ||
| 30 | No (18, 116, 98)-net in base 5 | [i] | ||
| 31 | No (18, 117, 98)-net in base 5 | [i] | ||
| 32 | No (18, 118, 98)-net in base 5 | [i] | ||
| 33 | No (18, 119, 98)-net in base 5 | [i] | ||
| 34 | No (18, 120, 98)-net in base 5 | [i] | ||
| 35 | No (18, 121, 98)-net in base 5 | [i] | ||
| 36 | No (18, 122, 98)-net in base 5 | [i] | ||
| 37 | No (18, 123, 98)-net in base 5 | [i] | ||
| 38 | No (18, 124, 98)-net in base 5 | [i] | ||
| 39 | No (18, 125, 98)-net in base 5 | [i] | ||
| 40 | No (18, 126, 98)-net in base 5 | [i] | ||
| 41 | No (18, 127, 98)-net in base 5 | [i] | ||
| 42 | No (18, 128, 98)-net in base 5 | [i] | ||
| 43 | No (18, 129, 98)-net in base 5 | [i] | ||
| 44 | No (18, 130, 98)-net in base 5 | [i] | ||
| 45 | No (18, 131, 98)-net in base 5 | [i] | ||
| 46 | No (18, 132, 98)-net in base 5 | [i] | ||
| 47 | No (18, 133, 98)-net in base 5 | [i] | ||
| 48 | No (18, 134, 98)-net in base 5 | [i] | ||
| 49 | No (18, 135, 98)-net in base 5 | [i] | ||
| 50 | No (18, 136, 98)-net in base 5 | [i] | ||
| 51 | No (18, 137, 98)-net in base 5 | [i] | ||
| 52 | No (18, 138, 98)-net in base 5 | [i] | ||
| 53 | No (18, 139, 98)-net in base 5 | [i] | ||
| 54 | No (18, 140, 98)-net in base 5 | [i] | ||
| 55 | No (18, 141, 98)-net in base 5 | [i] | ||
| 56 | No (18, 142, 98)-net in base 5 | [i] | ||
| 57 | No (18, 143, 98)-net in base 5 | [i] | ||
| 58 | No (18, 144, 98)-net in base 5 | [i] | ||
| 59 | No (18, 145, 98)-net in base 5 | [i] | ||
| 60 | No (18, 146, 98)-net in base 5 | [i] | ||
| 61 | No (18, 147, 98)-net in base 5 | [i] | ||
| 62 | No (18, 148, 98)-net in base 5 | [i] | ||
| 63 | No (18, 149, 98)-net in base 5 | [i] | ||
| 64 | No (18, 150, 98)-net in base 5 | [i] | ||