Information on Result #522074
There is no (23, 90, 100)-net in base 4, because extracting embedded orthogonal array would yield OA(490, 100, S4, 67), but
- the linear programming bound shows that M ≥ 295023 781563 173995 900282 102890 760321 556810 705889 809622 106112 / 187663 > 490 [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, 91, 100)-net in base 4 | [i] | m-Reduction | |
| 2 | No (23, 92, 100)-net in base 4 | [i] | ||
| 3 | No (23, 93, 100)-net in base 4 | [i] | ||
| 4 | No (23, 94, 100)-net in base 4 | [i] | ||
| 5 | No (23, 95, 100)-net in base 4 | [i] | ||
| 6 | No (23, 96, 100)-net in base 4 | [i] | ||
| 7 | No (23, 97, 100)-net in base 4 | [i] | ||
| 8 | No (23, 98, 100)-net in base 4 | [i] | ||
| 9 | No (23, 99, 100)-net in base 4 | [i] | ||
| 10 | No (23, 100, 100)-net in base 4 | [i] | ||
| 11 | No (23, 101, 100)-net in base 4 | [i] | ||
| 12 | No (23, 102, 100)-net in base 4 | [i] | ||
| 13 | No (23, 103, 100)-net in base 4 | [i] | ||
| 14 | No (23, 104, 100)-net in base 4 | [i] | ||
| 15 | No (23, 105, 100)-net in base 4 | [i] | ||
| 16 | No (23, 106, 100)-net in base 4 | [i] | ||
| 17 | No (23, 107, 100)-net in base 4 | [i] | ||
| 18 | No (23, 108, 100)-net in base 4 | [i] | ||
| 19 | No (23, 109, 100)-net in base 4 | [i] | ||
| 20 | No (23, 110, 100)-net in base 4 | [i] | ||
| 21 | No (23, 111, 100)-net in base 4 | [i] | ||
| 22 | No (23, 112, 100)-net in base 4 | [i] | ||
| 23 | No (23, 113, 100)-net in base 4 | [i] | ||
| 24 | No (23, 114, 100)-net in base 4 | [i] | ||
| 25 | No (23, 115, 100)-net in base 4 | [i] | ||
| 26 | No (23, 116, 100)-net in base 4 | [i] | ||
| 27 | No (23, 117, 100)-net in base 4 | [i] | ||
| 28 | No (23, 118, 100)-net in base 4 | [i] | ||
| 29 | No (23, 119, 100)-net in base 4 | [i] | ||
| 30 | No (23, 120, 100)-net in base 4 | [i] | ||
| 31 | No (23, 121, 100)-net in base 4 | [i] | ||
| 32 | No (23, 122, 100)-net in base 4 | [i] | ||
| 33 | No (23, 123, 100)-net in base 4 | [i] | ||
| 34 | No (23, 124, 100)-net in base 4 | [i] | ||
| 35 | No (23, 125, 100)-net in base 4 | [i] | ||
| 36 | No (23, 126, 100)-net in base 4 | [i] | ||
| 37 | No (23, 127, 100)-net in base 4 | [i] | ||
| 38 | No (23, 128, 100)-net in base 4 | [i] | ||
| 39 | No (23, 129, 100)-net in base 4 | [i] | ||
| 40 | No (23, 130, 100)-net in base 4 | [i] | ||
| 41 | No (23, 131, 100)-net in base 4 | [i] | ||
| 42 | No (23, 132, 100)-net in base 4 | [i] | ||
| 43 | No (23, 133, 100)-net in base 4 | [i] | ||
| 44 | No (23, 134, 100)-net in base 4 | [i] | ||
| 45 | No (23, 135, 100)-net in base 4 | [i] | ||
| 46 | No (23, 136, 100)-net in base 4 | [i] | ||
| 47 | No (23, 137, 100)-net in base 4 | [i] | ||
| 48 | No (23, 138, 100)-net in base 4 | [i] | ||
| 49 | No (23, 139, 100)-net in base 4 | [i] | ||
| 50 | No (23, 140, 100)-net in base 4 | [i] | ||
| 51 | No (23, 141, 100)-net in base 4 | [i] | ||
| 52 | No (23, 142, 100)-net in base 4 | [i] | ||
| 53 | No (23, 143, 100)-net in base 4 | [i] | ||
| 54 | No (23, 144, 100)-net in base 4 | [i] | ||
| 55 | No (23, 145, 100)-net in base 4 | [i] | ||
| 56 | No (23, 146, 100)-net in base 4 | [i] | ||
| 57 | No (23, 147, 100)-net in base 4 | [i] | ||
| 58 | No (23, 148, 100)-net in base 4 | [i] | ||
| 59 | No (23, 149, 100)-net in base 4 | [i] | ||
| 60 | No (23, 150, 100)-net in base 4 | [i] | ||
| 61 | No (23, 151, 100)-net in base 4 | [i] | ||
| 62 | No (23, 152, 100)-net in base 4 | [i] | ||
| 63 | No (23, 153, 100)-net in base 4 | [i] | ||
| 64 | No (23, 154, 100)-net in base 4 | [i] | ||
| 65 | No (23, 155, 100)-net in base 4 | [i] | ||
| 66 | No (23, 156, 100)-net in base 4 | [i] | ||
| 67 | No (23, 157, 100)-net in base 4 | [i] | ||
| 68 | No (23, 158, 100)-net in base 4 | [i] | ||
| 69 | No (23, 159, 100)-net in base 4 | [i] | ||
| 70 | No (23, 160, 100)-net in base 4 | [i] | ||
| 71 | No (23, 161, 100)-net in base 4 | [i] | ||
| 72 | No (23, 162, 100)-net in base 4 | [i] | ||
| 73 | No (23, 163, 100)-net in base 4 | [i] | ||
| 74 | No (23, 164, 100)-net in base 4 | [i] | ||
| 75 | No (23, 165, 100)-net in base 4 | [i] | ||
| 76 | No (23, 166, 100)-net in base 4 | [i] | ||