Information on Result #522417
There is no (6, 36, 41)-net in base 5, because extracting embedded orthogonal array would yield OA(536, 41, S5, 30), but
- the linear programming bound shows that M ≥ 187355 908565 223217 010498 046875 / 10323 > 536 [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 (6, 37, 41)-net in base 5 | [i] | m-Reduction | |
| 2 | No (6, 38, 41)-net in base 5 | [i] | ||
| 3 | No (6, 39, 41)-net in base 5 | [i] | ||
| 4 | No (6, 40, 41)-net in base 5 | [i] | ||
| 5 | No (6, 41, 41)-net in base 5 | [i] | ||
| 6 | No (6, 42, 41)-net in base 5 | [i] | ||
| 7 | No (6, 43, 41)-net in base 5 | [i] | ||
| 8 | No (6, 44, 41)-net in base 5 | [i] | ||
| 9 | No (6, 45, 41)-net in base 5 | [i] | ||
| 10 | No (6, 46, 41)-net in base 5 | [i] | ||
| 11 | No (6, 47, 41)-net in base 5 | [i] | ||
| 12 | No (6, 48, 41)-net in base 5 | [i] | ||
| 13 | No (6, 49, 41)-net in base 5 | [i] | ||
| 14 | No (6, 50, 41)-net in base 5 | [i] | ||
| 15 | No (6, 51, 41)-net in base 5 | [i] | ||
| 16 | No (6, 52, 41)-net in base 5 | [i] | ||
| 17 | No (6, 53, 41)-net in base 5 | [i] | ||
| 18 | No (6, 54, 41)-net in base 5 | [i] | ||
| 19 | No (6, 55, 41)-net in base 5 | [i] | ||
| 20 | No (6, 56, 41)-net in base 5 | [i] | ||
| 21 | No (6, 57, 41)-net in base 5 | [i] | ||
| 22 | No (6, 58, 41)-net in base 5 | [i] | ||
| 23 | No (6, 59, 41)-net in base 5 | [i] | ||
| 24 | No (6, 60, 41)-net in base 5 | [i] | ||
| 25 | No (6, 61, 41)-net in base 5 | [i] | ||
| 26 | No (6, 62, 41)-net in base 5 | [i] | ||
| 27 | No (6, 63, 41)-net in base 5 | [i] | ||
| 28 | No (6, 64, 41)-net in base 5 | [i] | ||
| 29 | No (6, 65, 41)-net in base 5 | [i] | ||
| 30 | No (6, 66, 41)-net in base 5 | [i] | ||
| 31 | No (6, 67, 41)-net in base 5 | [i] | ||
| 32 | No (6, 68, 41)-net in base 5 | [i] | ||