Information on Result #522678
There is no (21, 97, 112)-net in base 5, because extracting embedded orthogonal array would yield OA(597, 112, S5, 76), but
- the linear programming bound shows that M ≥ 29 282971 382900 591824 936232 851882 769051 034272 056455 165511 579252 779483 795166 015625 / 409917 357801 > 597 [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 (21, 98, 112)-net in base 5 | [i] | m-Reduction | |
| 2 | No (21, 99, 112)-net in base 5 | [i] | ||
| 3 | No (21, 100, 112)-net in base 5 | [i] | ||
| 4 | No (21, 101, 112)-net in base 5 | [i] | ||
| 5 | No (21, 102, 112)-net in base 5 | [i] | ||
| 6 | No (21, 103, 112)-net in base 5 | [i] | ||
| 7 | No (21, 104, 112)-net in base 5 | [i] | ||
| 8 | No (21, 105, 112)-net in base 5 | [i] | ||
| 9 | No (21, 106, 112)-net in base 5 | [i] | ||
| 10 | No (21, 107, 112)-net in base 5 | [i] | ||
| 11 | No (21, 108, 112)-net in base 5 | [i] | ||
| 12 | No (21, 109, 112)-net in base 5 | [i] | ||
| 13 | No (21, 110, 112)-net in base 5 | [i] | ||
| 14 | No (21, 111, 112)-net in base 5 | [i] | ||
| 15 | No (21, 112, 112)-net in base 5 | [i] | ||
| 16 | No (21, 113, 112)-net in base 5 | [i] | ||
| 17 | No (21, 114, 112)-net in base 5 | [i] | ||
| 18 | No (21, 115, 112)-net in base 5 | [i] | ||
| 19 | No (21, 116, 112)-net in base 5 | [i] | ||
| 20 | No (21, 117, 112)-net in base 5 | [i] | ||
| 21 | No (21, 118, 112)-net in base 5 | [i] | ||
| 22 | No (21, 119, 112)-net in base 5 | [i] | ||
| 23 | No (21, 120, 112)-net in base 5 | [i] | ||
| 24 | No (21, 121, 112)-net in base 5 | [i] | ||
| 25 | No (21, 122, 112)-net in base 5 | [i] | ||
| 26 | No (21, 123, 112)-net in base 5 | [i] | ||
| 27 | No (21, 124, 112)-net in base 5 | [i] | ||
| 28 | No (21, 125, 112)-net in base 5 | [i] | ||
| 29 | No (21, 126, 112)-net in base 5 | [i] | ||
| 30 | No (21, 127, 112)-net in base 5 | [i] | ||
| 31 | No (21, 128, 112)-net in base 5 | [i] | ||
| 32 | No (21, 129, 112)-net in base 5 | [i] | ||
| 33 | No (21, 130, 112)-net in base 5 | [i] | ||
| 34 | No (21, 131, 112)-net in base 5 | [i] | ||
| 35 | No (21, 132, 112)-net in base 5 | [i] | ||
| 36 | No (21, 133, 112)-net in base 5 | [i] | ||
| 37 | No (21, 134, 112)-net in base 5 | [i] | ||
| 38 | No (21, 135, 112)-net in base 5 | [i] | ||
| 39 | No (21, 136, 112)-net in base 5 | [i] | ||
| 40 | No (21, 137, 112)-net in base 5 | [i] | ||
| 41 | No (21, 138, 112)-net in base 5 | [i] | ||
| 42 | No (21, 139, 112)-net in base 5 | [i] | ||
| 43 | No (21, 140, 112)-net in base 5 | [i] | ||
| 44 | No (21, 141, 112)-net in base 5 | [i] | ||
| 45 | No (21, 142, 112)-net in base 5 | [i] | ||
| 46 | No (21, 143, 112)-net in base 5 | [i] | ||
| 47 | No (21, 144, 112)-net in base 5 | [i] | ||
| 48 | No (21, 145, 112)-net in base 5 | [i] | ||
| 49 | No (21, 146, 112)-net in base 5 | [i] | ||
| 50 | No (21, 147, 112)-net in base 5 | [i] | ||
| 51 | No (21, 148, 112)-net in base 5 | [i] | ||
| 52 | No (21, 149, 112)-net in base 5 | [i] | ||
| 53 | No (21, 150, 112)-net in base 5 | [i] | ||