Information on Result #521141
There is no (17, 54, 61)-net in base 3, because extracting embedded orthogonal array would yield OA(354, 61, S3, 37), but
- the linear programming bound shows that M ≥ 26690 729284 395387 397889 087571 / 437 > 354 [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 (17, 55, 61)-net in base 3 | [i] | m-Reduction | |
| 2 | No (17, 56, 61)-net in base 3 | [i] | ||
| 3 | No (17, 57, 61)-net in base 3 | [i] | ||
| 4 | No (17, 58, 61)-net in base 3 | [i] | ||
| 5 | No (17, 59, 61)-net in base 3 | [i] | ||
| 6 | No (17, 60, 61)-net in base 3 | [i] | ||
| 7 | No (17, 61, 61)-net in base 3 | [i] | ||
| 8 | No (17, 62, 61)-net in base 3 | [i] | ||
| 9 | No (17, 63, 61)-net in base 3 | [i] | ||
| 10 | No (17, 64, 61)-net in base 3 | [i] | ||
| 11 | No (17, 65, 61)-net in base 3 | [i] | ||
| 12 | No (17, 66, 61)-net in base 3 | [i] | ||
| 13 | No (17, 67, 61)-net in base 3 | [i] | ||
| 14 | No (17, 68, 61)-net in base 3 | [i] | ||
| 15 | No (17, 69, 61)-net in base 3 | [i] | ||
| 16 | No (17, 70, 61)-net in base 3 | [i] | ||
| 17 | No (17, 71, 61)-net in base 3 | [i] | ||
| 18 | No (17, 72, 61)-net in base 3 | [i] | ||
| 19 | No (17, 73, 61)-net in base 3 | [i] | ||
| 20 | No (17, 74, 61)-net in base 3 | [i] | ||
| 21 | No (17, 75, 61)-net in base 3 | [i] | ||
| 22 | No (17, 76, 61)-net in base 3 | [i] | ||
| 23 | No (17, 77, 61)-net in base 3 | [i] | ||
| 24 | No (17, 78, 61)-net in base 3 | [i] | ||
| 25 | No (17, 79, 61)-net in base 3 | [i] | ||
| 26 | No (17, 80, 61)-net in base 3 | [i] | ||
| 27 | No (17, 81, 61)-net in base 3 | [i] | ||
| 28 | No (17, 82, 61)-net in base 3 | [i] | ||
| 29 | No (17, 83, 61)-net in base 3 | [i] | ||
| 30 | No (17, 84, 61)-net in base 3 | [i] | ||
| 31 | No (17, 85, 61)-net in base 3 | [i] | ||
| 32 | No (17, 86, 61)-net in base 3 | [i] | ||
| 33 | No (17, 87, 61)-net in base 3 | [i] | ||
| 34 | No (17, 88, 61)-net in base 3 | [i] | ||
| 35 | No (17, 89, 61)-net in base 3 | [i] | ||
| 36 | No (17, 90, 61)-net in base 3 | [i] | ||