Information on Result #522691
There is no (22, 103, 116)-net in base 5, because extracting embedded orthogonal array would yield OA(5103, 116, S5, 81), but
- the linear programming bound shows that M ≥ 1237 818286 417009 129589 313695 434643 806752 260386 527808 577739 051543 176174 163818 359375 / 1092 587229 > 5103 [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 (22, 104, 116)-net in base 5 | [i] | m-Reduction | |
| 2 | No (22, 105, 116)-net in base 5 | [i] | ||
| 3 | No (22, 106, 116)-net in base 5 | [i] | ||
| 4 | No (22, 107, 116)-net in base 5 | [i] | ||
| 5 | No (22, 108, 116)-net in base 5 | [i] | ||
| 6 | No (22, 109, 116)-net in base 5 | [i] | ||
| 7 | No (22, 110, 116)-net in base 5 | [i] | ||
| 8 | No (22, 111, 116)-net in base 5 | [i] | ||
| 9 | No (22, 112, 116)-net in base 5 | [i] | ||
| 10 | No (22, 113, 116)-net in base 5 | [i] | ||
| 11 | No (22, 114, 116)-net in base 5 | [i] | ||
| 12 | No (22, 115, 116)-net in base 5 | [i] | ||
| 13 | No (22, 116, 116)-net in base 5 | [i] | ||
| 14 | No (22, 117, 116)-net in base 5 | [i] | ||
| 15 | No (22, 118, 116)-net in base 5 | [i] | ||
| 16 | No (22, 119, 116)-net in base 5 | [i] | ||
| 17 | No (22, 120, 116)-net in base 5 | [i] | ||
| 18 | No (22, 121, 116)-net in base 5 | [i] | ||
| 19 | No (22, 122, 116)-net in base 5 | [i] | ||
| 20 | No (22, 123, 116)-net in base 5 | [i] | ||
| 21 | No (22, 124, 116)-net in base 5 | [i] | ||
| 22 | No (22, 125, 116)-net in base 5 | [i] | ||
| 23 | No (22, 126, 116)-net in base 5 | [i] | ||
| 24 | No (22, 127, 116)-net in base 5 | [i] | ||
| 25 | No (22, 128, 116)-net in base 5 | [i] | ||
| 26 | No (22, 129, 116)-net in base 5 | [i] | ||
| 27 | No (22, 130, 116)-net in base 5 | [i] | ||
| 28 | No (22, 131, 116)-net in base 5 | [i] | ||
| 29 | No (22, 132, 116)-net in base 5 | [i] | ||
| 30 | No (22, 133, 116)-net in base 5 | [i] | ||
| 31 | No (22, 134, 116)-net in base 5 | [i] | ||
| 32 | No (22, 135, 116)-net in base 5 | [i] | ||
| 33 | No (22, 136, 116)-net in base 5 | [i] | ||
| 34 | No (22, 137, 116)-net in base 5 | [i] | ||
| 35 | No (22, 138, 116)-net in base 5 | [i] | ||
| 36 | No (22, 139, 116)-net in base 5 | [i] | ||
| 37 | No (22, 140, 116)-net in base 5 | [i] | ||
| 38 | No (22, 141, 116)-net in base 5 | [i] | ||
| 39 | No (22, 142, 116)-net in base 5 | [i] | ||
| 40 | No (22, 143, 116)-net in base 5 | [i] | ||
| 41 | No (22, 144, 116)-net in base 5 | [i] | ||
| 42 | No (22, 145, 116)-net in base 5 | [i] | ||
| 43 | No (22, 146, 116)-net in base 5 | [i] | ||
| 44 | No (22, 147, 116)-net in base 5 | [i] | ||
| 45 | No (22, 148, 116)-net in base 5 | [i] | ||
| 46 | No (22, 149, 116)-net in base 5 | [i] | ||
| 47 | No (22, 150, 116)-net in base 5 | [i] | ||