Information on Result #521291
There is no (27, 83, 91)-net in base 3, because extracting embedded orthogonal array would yield OA(383, 91, S3, 56), but
- the linear programming bound shows that M ≥ 969773 729787 523602 876821 942164 080815 560161 / 209 > 383 [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 (27, 84, 91)-net in base 3 | [i] | m-Reduction | |
| 2 | No (27, 85, 91)-net in base 3 | [i] | ||
| 3 | No (27, 86, 91)-net in base 3 | [i] | ||
| 4 | No (27, 87, 91)-net in base 3 | [i] | ||
| 5 | No (27, 88, 91)-net in base 3 | [i] | ||
| 6 | No (27, 89, 91)-net in base 3 | [i] | ||
| 7 | No (27, 90, 91)-net in base 3 | [i] | ||
| 8 | No (27, 91, 91)-net in base 3 | [i] | ||
| 9 | No (27, 92, 91)-net in base 3 | [i] | ||
| 10 | No (27, 93, 91)-net in base 3 | [i] | ||
| 11 | No (27, 94, 91)-net in base 3 | [i] | ||
| 12 | No (27, 95, 91)-net in base 3 | [i] | ||
| 13 | No (27, 96, 91)-net in base 3 | [i] | ||
| 14 | No (27, 97, 91)-net in base 3 | [i] | ||
| 15 | No (27, 98, 91)-net in base 3 | [i] | ||
| 16 | No (27, 99, 91)-net in base 3 | [i] | ||
| 17 | No (27, 100, 91)-net in base 3 | [i] | ||
| 18 | No (27, 101, 91)-net in base 3 | [i] | ||
| 19 | No (27, 102, 91)-net in base 3 | [i] | ||
| 20 | No (27, 103, 91)-net in base 3 | [i] | ||
| 21 | No (27, 104, 91)-net in base 3 | [i] | ||
| 22 | No (27, 105, 91)-net in base 3 | [i] | ||
| 23 | No (27, 106, 91)-net in base 3 | [i] | ||
| 24 | No (27, 107, 91)-net in base 3 | [i] | ||
| 25 | No (27, 108, 91)-net in base 3 | [i] | ||
| 26 | No (27, 109, 91)-net in base 3 | [i] | ||
| 27 | No (27, 110, 91)-net in base 3 | [i] | ||
| 28 | No (27, 111, 91)-net in base 3 | [i] | ||
| 29 | No (27, 112, 91)-net in base 3 | [i] | ||
| 30 | No (27, 113, 91)-net in base 3 | [i] | ||
| 31 | No (27, 114, 91)-net in base 3 | [i] | ||
| 32 | No (27, 115, 91)-net in base 3 | [i] | ||
| 33 | No (27, 116, 91)-net in base 3 | [i] | ||
| 34 | No (27, 117, 91)-net in base 3 | [i] | ||
| 35 | No (27, 118, 91)-net in base 3 | [i] | ||
| 36 | No (27, 119, 91)-net in base 3 | [i] | ||
| 37 | No (27, 120, 91)-net in base 3 | [i] | ||
| 38 | No (27, 121, 91)-net in base 3 | [i] | ||
| 39 | No (27, 122, 91)-net in base 3 | [i] | ||
| 40 | No (27, 123, 91)-net in base 3 | [i] | ||
| 41 | No (27, 124, 91)-net in base 3 | [i] | ||
| 42 | No (27, 125, 91)-net in base 3 | [i] | ||
| 43 | No (27, 126, 91)-net in base 3 | [i] | ||
| 44 | No (27, 127, 91)-net in base 3 | [i] | ||
| 45 | No (27, 128, 91)-net in base 3 | [i] | ||
| 46 | No (27, 129, 91)-net in base 3 | [i] | ||
| 47 | No (27, 130, 91)-net in base 3 | [i] | ||
| 48 | No (27, 131, 91)-net in base 3 | [i] | ||
| 49 | No (27, 132, 91)-net in base 3 | [i] | ||
| 50 | No (27, 133, 91)-net in base 3 | [i] | ||
| 51 | No (27, 134, 91)-net in base 3 | [i] | ||
| 52 | No (27, 135, 91)-net in base 3 | [i] | ||
| 53 | No (27, 136, 91)-net in base 3 | [i] | ||