Information on Result #522665
There is no (20, 95, 107)-net in base 5, because extracting embedded orthogonal array would yield OA(595, 107, S5, 75), but
- the linear programming bound shows that M ≥ 3749 470082 011763 089334 443281 903258 039788 884303 789018 304087 221622 467041 015625 / 1344 020328 > 595 [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 (20, 96, 107)-net in base 5 | [i] | m-Reduction | |
| 2 | No (20, 97, 107)-net in base 5 | [i] | ||
| 3 | No (20, 98, 107)-net in base 5 | [i] | ||
| 4 | No (20, 99, 107)-net in base 5 | [i] | ||
| 5 | No (20, 100, 107)-net in base 5 | [i] | ||
| 6 | No (20, 101, 107)-net in base 5 | [i] | ||
| 7 | No (20, 102, 107)-net in base 5 | [i] | ||
| 8 | No (20, 103, 107)-net in base 5 | [i] | ||
| 9 | No (20, 104, 107)-net in base 5 | [i] | ||
| 10 | No (20, 105, 107)-net in base 5 | [i] | ||
| 11 | No (20, 106, 107)-net in base 5 | [i] | ||
| 12 | No (20, 107, 107)-net in base 5 | [i] | ||
| 13 | No (20, 108, 107)-net in base 5 | [i] | ||
| 14 | No (20, 109, 107)-net in base 5 | [i] | ||
| 15 | No (20, 110, 107)-net in base 5 | [i] | ||
| 16 | No (20, 111, 107)-net in base 5 | [i] | ||
| 17 | No (20, 112, 107)-net in base 5 | [i] | ||
| 18 | No (20, 113, 107)-net in base 5 | [i] | ||
| 19 | No (20, 114, 107)-net in base 5 | [i] | ||
| 20 | No (20, 115, 107)-net in base 5 | [i] | ||
| 21 | No (20, 116, 107)-net in base 5 | [i] | ||
| 22 | No (20, 117, 107)-net in base 5 | [i] | ||
| 23 | No (20, 118, 107)-net in base 5 | [i] | ||
| 24 | No (20, 119, 107)-net in base 5 | [i] | ||
| 25 | No (20, 120, 107)-net in base 5 | [i] | ||
| 26 | No (20, 121, 107)-net in base 5 | [i] | ||
| 27 | No (20, 122, 107)-net in base 5 | [i] | ||
| 28 | No (20, 123, 107)-net in base 5 | [i] | ||
| 29 | No (20, 124, 107)-net in base 5 | [i] | ||
| 30 | No (20, 125, 107)-net in base 5 | [i] | ||
| 31 | No (20, 126, 107)-net in base 5 | [i] | ||
| 32 | No (20, 127, 107)-net in base 5 | [i] | ||
| 33 | No (20, 128, 107)-net in base 5 | [i] | ||
| 34 | No (20, 129, 107)-net in base 5 | [i] | ||
| 35 | No (20, 130, 107)-net in base 5 | [i] | ||
| 36 | No (20, 131, 107)-net in base 5 | [i] | ||
| 37 | No (20, 132, 107)-net in base 5 | [i] | ||
| 38 | No (20, 133, 107)-net in base 5 | [i] | ||
| 39 | No (20, 134, 107)-net in base 5 | [i] | ||
| 40 | No (20, 135, 107)-net in base 5 | [i] | ||
| 41 | No (20, 136, 107)-net in base 5 | [i] | ||
| 42 | No (20, 137, 107)-net in base 5 | [i] | ||
| 43 | No (20, 138, 107)-net in base 5 | [i] | ||
| 44 | No (20, 139, 107)-net in base 5 | [i] | ||
| 45 | No (20, 140, 107)-net in base 5 | [i] | ||
| 46 | No (20, 141, 107)-net in base 5 | [i] | ||
| 47 | No (20, 142, 107)-net in base 5 | [i] | ||
| 48 | No (20, 143, 107)-net in base 5 | [i] | ||
| 49 | No (20, 144, 107)-net in base 5 | [i] | ||
| 50 | No (20, 145, 107)-net in base 5 | [i] | ||
| 51 | No (20, 146, 107)-net in base 5 | [i] | ||
| 52 | No (20, 147, 107)-net in base 5 | [i] | ||
| 53 | No (20, 148, 107)-net in base 5 | [i] | ||
| 54 | No (20, 149, 107)-net in base 5 | [i] | ||
| 55 | No (20, 150, 107)-net in base 5 | [i] | ||