Information on Result #521986
There is no (19, 75, 85)-net in base 4, because extracting embedded orthogonal array would yield OA(475, 85, S4, 56), but
- the linear programming bound shows that M ≥ 135 462933 010108 064231 004037 932390 482384 359247 577088 / 87685 > 475 [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 (19, 76, 85)-net in base 4 | [i] | m-Reduction | |
| 2 | No (19, 77, 85)-net in base 4 | [i] | ||
| 3 | No (19, 78, 85)-net in base 4 | [i] | ||
| 4 | No (19, 79, 85)-net in base 4 | [i] | ||
| 5 | No (19, 80, 85)-net in base 4 | [i] | ||
| 6 | No (19, 81, 85)-net in base 4 | [i] | ||
| 7 | No (19, 82, 85)-net in base 4 | [i] | ||
| 8 | No (19, 83, 85)-net in base 4 | [i] | ||
| 9 | No (19, 84, 85)-net in base 4 | [i] | ||
| 10 | No (19, 85, 85)-net in base 4 | [i] | ||
| 11 | No (19, 86, 85)-net in base 4 | [i] | ||
| 12 | No (19, 87, 85)-net in base 4 | [i] | ||
| 13 | No (19, 88, 85)-net in base 4 | [i] | ||
| 14 | No (19, 89, 85)-net in base 4 | [i] | ||
| 15 | No (19, 90, 85)-net in base 4 | [i] | ||
| 16 | No (19, 91, 85)-net in base 4 | [i] | ||
| 17 | No (19, 92, 85)-net in base 4 | [i] | ||
| 18 | No (19, 93, 85)-net in base 4 | [i] | ||
| 19 | No (19, 94, 85)-net in base 4 | [i] | ||
| 20 | No (19, 95, 85)-net in base 4 | [i] | ||
| 21 | No (19, 96, 85)-net in base 4 | [i] | ||
| 22 | No (19, 97, 85)-net in base 4 | [i] | ||
| 23 | No (19, 98, 85)-net in base 4 | [i] | ||
| 24 | No (19, 99, 85)-net in base 4 | [i] | ||
| 25 | No (19, 100, 85)-net in base 4 | [i] | ||
| 26 | No (19, 101, 85)-net in base 4 | [i] | ||
| 27 | No (19, 102, 85)-net in base 4 | [i] | ||
| 28 | No (19, 103, 85)-net in base 4 | [i] | ||
| 29 | No (19, 104, 85)-net in base 4 | [i] | ||
| 30 | No (19, 105, 85)-net in base 4 | [i] | ||
| 31 | No (19, 106, 85)-net in base 4 | [i] | ||
| 32 | No (19, 107, 85)-net in base 4 | [i] | ||
| 33 | No (19, 108, 85)-net in base 4 | [i] | ||
| 34 | No (19, 109, 85)-net in base 4 | [i] | ||
| 35 | No (19, 110, 85)-net in base 4 | [i] | ||
| 36 | No (19, 111, 85)-net in base 4 | [i] | ||
| 37 | No (19, 112, 85)-net in base 4 | [i] | ||
| 38 | No (19, 113, 85)-net in base 4 | [i] | ||
| 39 | No (19, 114, 85)-net in base 4 | [i] | ||
| 40 | No (19, 115, 85)-net in base 4 | [i] | ||
| 41 | No (19, 116, 85)-net in base 4 | [i] | ||
| 42 | No (19, 117, 85)-net in base 4 | [i] | ||
| 43 | No (19, 118, 85)-net in base 4 | [i] | ||
| 44 | No (19, 119, 85)-net in base 4 | [i] | ||
| 45 | No (19, 120, 85)-net in base 4 | [i] | ||
| 46 | No (19, 121, 85)-net in base 4 | [i] | ||
| 47 | No (19, 122, 85)-net in base 4 | [i] | ||
| 48 | No (19, 123, 85)-net in base 4 | [i] | ||
| 49 | No (19, 124, 85)-net in base 4 | [i] | ||
| 50 | No (19, 125, 85)-net in base 4 | [i] | ||
| 51 | No (19, 126, 85)-net in base 4 | [i] | ||
| 52 | No (19, 127, 85)-net in base 4 | [i] | ||
| 53 | No (19, 128, 85)-net in base 4 | [i] | ||
| 54 | No (19, 129, 85)-net in base 4 | [i] | ||
| 55 | No (19, 130, 85)-net in base 4 | [i] | ||
| 56 | No (19, 131, 85)-net in base 4 | [i] | ||
| 57 | No (19, 132, 85)-net in base 4 | [i] | ||
| 58 | No (19, 133, 85)-net in base 4 | [i] | ||
| 59 | No (19, 134, 85)-net in base 4 | [i] | ||
| 60 | No (19, 135, 85)-net in base 4 | [i] | ||
| 61 | No (19, 136, 85)-net in base 4 | [i] | ||
| 62 | No (19, 137, 85)-net in base 4 | [i] | ||
| 63 | No (19, 138, 85)-net in base 4 | [i] | ||
| 64 | No (19, 139, 85)-net in base 4 | [i] | ||