Information on Result #522701
There is no (23, 105, 121)-net in base 5, because extracting embedded orthogonal array would yield OA(5105, 121, S5, 82), but
- the linear programming bound shows that M ≥ 93 626609 426406 933398 245190 747110 019959 125490 167373 140337 758741 225115 954875 946044 921875 / 3 706166 335599 > 5105 [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 (23, 106, 121)-net in base 5 | [i] | m-Reduction | |
| 2 | No (23, 107, 121)-net in base 5 | [i] | ||
| 3 | No (23, 108, 121)-net in base 5 | [i] | ||
| 4 | No (23, 109, 121)-net in base 5 | [i] | ||
| 5 | No (23, 110, 121)-net in base 5 | [i] | ||
| 6 | No (23, 111, 121)-net in base 5 | [i] | ||
| 7 | No (23, 112, 121)-net in base 5 | [i] | ||
| 8 | No (23, 113, 121)-net in base 5 | [i] | ||
| 9 | No (23, 114, 121)-net in base 5 | [i] | ||
| 10 | No (23, 115, 121)-net in base 5 | [i] | ||
| 11 | No (23, 116, 121)-net in base 5 | [i] | ||
| 12 | No (23, 117, 121)-net in base 5 | [i] | ||
| 13 | No (23, 118, 121)-net in base 5 | [i] | ||
| 14 | No (23, 119, 121)-net in base 5 | [i] | ||
| 15 | No (23, 120, 121)-net in base 5 | [i] | ||
| 16 | No (23, 121, 121)-net in base 5 | [i] | ||
| 17 | No (23, 122, 121)-net in base 5 | [i] | ||
| 18 | No (23, 123, 121)-net in base 5 | [i] | ||
| 19 | No (23, 124, 121)-net in base 5 | [i] | ||
| 20 | No (23, 125, 121)-net in base 5 | [i] | ||
| 21 | No (23, 126, 121)-net in base 5 | [i] | ||
| 22 | No (23, 127, 121)-net in base 5 | [i] | ||
| 23 | No (23, 128, 121)-net in base 5 | [i] | ||
| 24 | No (23, 129, 121)-net in base 5 | [i] | ||
| 25 | No (23, 130, 121)-net in base 5 | [i] | ||
| 26 | No (23, 131, 121)-net in base 5 | [i] | ||
| 27 | No (23, 132, 121)-net in base 5 | [i] | ||
| 28 | No (23, 133, 121)-net in base 5 | [i] | ||
| 29 | No (23, 134, 121)-net in base 5 | [i] | ||
| 30 | No (23, 135, 121)-net in base 5 | [i] | ||
| 31 | No (23, 136, 121)-net in base 5 | [i] | ||
| 32 | No (23, 137, 121)-net in base 5 | [i] | ||
| 33 | No (23, 138, 121)-net in base 5 | [i] | ||
| 34 | No (23, 139, 121)-net in base 5 | [i] | ||
| 35 | No (23, 140, 121)-net in base 5 | [i] | ||
| 36 | No (23, 141, 121)-net in base 5 | [i] | ||
| 37 | No (23, 142, 121)-net in base 5 | [i] | ||
| 38 | No (23, 143, 121)-net in base 5 | [i] | ||
| 39 | No (23, 144, 121)-net in base 5 | [i] | ||
| 40 | No (23, 145, 121)-net in base 5 | [i] | ||
| 41 | No (23, 146, 121)-net in base 5 | [i] | ||
| 42 | No (23, 147, 121)-net in base 5 | [i] | ||
| 43 | No (23, 148, 121)-net in base 5 | [i] | ||
| 44 | No (23, 149, 121)-net in base 5 | [i] | ||
| 45 | No (23, 150, 121)-net in base 5 | [i] | ||