Information on Result #521345
There is no (30, 88, 100)-net in base 3, because extracting embedded orthogonal array would yield OA(388, 100, S3, 58), but
- the linear programming bound shows that M ≥ 19088 056323 407827 075424 486287 615602 692670 648963 / 19057 > 388 [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 (30, 89, 100)-net in base 3 | [i] | m-Reduction | |
| 2 | No (30, 90, 100)-net in base 3 | [i] | ||
| 3 | No (30, 91, 100)-net in base 3 | [i] | ||
| 4 | No (30, 92, 100)-net in base 3 | [i] | ||
| 5 | No (30, 93, 100)-net in base 3 | [i] | ||
| 6 | No (30, 94, 100)-net in base 3 | [i] | ||
| 7 | No (30, 95, 100)-net in base 3 | [i] | ||
| 8 | No (30, 96, 100)-net in base 3 | [i] | ||
| 9 | No (30, 97, 100)-net in base 3 | [i] | ||
| 10 | No (30, 98, 100)-net in base 3 | [i] | ||
| 11 | No (30, 99, 100)-net in base 3 | [i] | ||
| 12 | No (30, 100, 100)-net in base 3 | [i] | ||
| 13 | No (30, 101, 100)-net in base 3 | [i] | ||
| 14 | No (30, 102, 100)-net in base 3 | [i] | ||
| 15 | No (30, 103, 100)-net in base 3 | [i] | ||
| 16 | No (30, 104, 100)-net in base 3 | [i] | ||
| 17 | No (30, 105, 100)-net in base 3 | [i] | ||
| 18 | No (30, 106, 100)-net in base 3 | [i] | ||
| 19 | No (30, 107, 100)-net in base 3 | [i] | ||
| 20 | No (30, 108, 100)-net in base 3 | [i] | ||
| 21 | No (30, 109, 100)-net in base 3 | [i] | ||
| 22 | No (30, 110, 100)-net in base 3 | [i] | ||
| 23 | No (30, 111, 100)-net in base 3 | [i] | ||
| 24 | No (30, 112, 100)-net in base 3 | [i] | ||
| 25 | No (30, 113, 100)-net in base 3 | [i] | ||
| 26 | No (30, 114, 100)-net in base 3 | [i] | ||
| 27 | No (30, 115, 100)-net in base 3 | [i] | ||
| 28 | No (30, 116, 100)-net in base 3 | [i] | ||
| 29 | No (30, 117, 100)-net in base 3 | [i] | ||
| 30 | No (30, 118, 100)-net in base 3 | [i] | ||
| 31 | No (30, 119, 100)-net in base 3 | [i] | ||
| 32 | No (30, 120, 100)-net in base 3 | [i] | ||
| 33 | No (30, 121, 100)-net in base 3 | [i] | ||
| 34 | No (30, 122, 100)-net in base 3 | [i] | ||
| 35 | No (30, 123, 100)-net in base 3 | [i] | ||
| 36 | No (30, 124, 100)-net in base 3 | [i] | ||
| 37 | No (30, 125, 100)-net in base 3 | [i] | ||
| 38 | No (30, 126, 100)-net in base 3 | [i] | ||
| 39 | No (30, 127, 100)-net in base 3 | [i] | ||
| 40 | No (30, 128, 100)-net in base 3 | [i] | ||
| 41 | No (30, 129, 100)-net in base 3 | [i] | ||
| 42 | No (30, 130, 100)-net in base 3 | [i] | ||
| 43 | No (30, 131, 100)-net in base 3 | [i] | ||
| 44 | No (30, 132, 100)-net in base 3 | [i] | ||
| 45 | No (30, 133, 100)-net in base 3 | [i] | ||
| 46 | No (30, 134, 100)-net in base 3 | [i] | ||
| 47 | No (30, 135, 100)-net in base 3 | [i] | ||
| 48 | No (30, 136, 100)-net in base 3 | [i] | ||
| 49 | No (30, 137, 100)-net in base 3 | [i] | ||
| 50 | No (30, 138, 100)-net in base 3 | [i] | ||
| 51 | No (30, 139, 100)-net in base 3 | [i] | ||
| 52 | No (30, 140, 100)-net in base 3 | [i] | ||
| 53 | No (30, 141, 100)-net in base 3 | [i] | ||
| 54 | No (30, 142, 100)-net in base 3 | [i] | ||
| 55 | No (30, 143, 100)-net in base 3 | [i] | ||
| 56 | No (30, 144, 100)-net in base 3 | [i] | ||
| 57 | No (30, 145, 100)-net in base 3 | [i] | ||
| 58 | No (30, 146, 100)-net in base 3 | [i] | ||
| 59 | No (30, 147, 100)-net in base 3 | [i] | ||
| 60 | No (30, 148, 100)-net in base 3 | [i] | ||
| 61 | No (30, 149, 100)-net in base 3 | [i] | ||
| 62 | No (30, 150, 100)-net in base 3 | [i] | ||