Information on Result #521132
There is no (16, 163, 42)-net in base 3, because extracting embedded OOA would yield OOA(3163, 42, S3, 4, 147), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 26 544651 814199 643338 440247 651133 135698 218965 877468 993535 187581 097625 462811 569215 / 37 > 3163 [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 (16, 164, 42)-net in base 3 | [i] | m-Reduction | |
| 2 | No (16, 165, 42)-net in base 3 | [i] | ||
| 3 | No (16, 166, 42)-net in base 3 | [i] | ||
| 4 | No (16, 167, 42)-net in base 3 | [i] | ||
| 5 | No (16, 168, 42)-net in base 3 | [i] | ||
| 6 | No (16, 169, 42)-net in base 3 | [i] | ||
| 7 | No (16, 170, 42)-net in base 3 | [i] | ||
| 8 | No (16, 171, 42)-net in base 3 | [i] | ||
| 9 | No (16, 172, 42)-net in base 3 | [i] | ||
| 10 | No (16, 173, 42)-net in base 3 | [i] | ||
| 11 | No (16, 174, 42)-net in base 3 | [i] | ||
| 12 | No (16, 175, 42)-net in base 3 | [i] | ||
| 13 | No (16, 176, 42)-net in base 3 | [i] | ||
| 14 | No (16, 177, 42)-net in base 3 | [i] | ||
| 15 | No (16, 178, 42)-net in base 3 | [i] | ||
| 16 | No (16, 179, 42)-net in base 3 | [i] | ||
| 17 | No (16, 180, 42)-net in base 3 | [i] | ||
| 18 | No (16, 181, 42)-net in base 3 | [i] | ||
| 19 | No (16, 182, 42)-net in base 3 | [i] | ||
| 20 | No (16, 183, 42)-net in base 3 | [i] | ||
| 21 | No (16, 184, 42)-net in base 3 | [i] | ||
| 22 | No (16, 185, 42)-net in base 3 | [i] | ||
| 23 | No (16, 186, 42)-net in base 3 | [i] | ||
| 24 | No (16, 187, 42)-net in base 3 | [i] | ||
| 25 | No (16, 188, 42)-net in base 3 | [i] | ||
| 26 | No (16, 189, 42)-net in base 3 | [i] | ||
| 27 | No (16, 190, 42)-net in base 3 | [i] | ||
| 28 | No (16, 191, 42)-net in base 3 | [i] | ||
| 29 | No (16, 192, 42)-net in base 3 | [i] | ||
| 30 | No (16, 193, 42)-net in base 3 | [i] | ||
| 31 | No (16, 194, 42)-net in base 3 | [i] | ||
| 32 | No (16, 195, 42)-net in base 3 | [i] | ||
| 33 | No (16, 196, 42)-net in base 3 | [i] | ||
| 34 | No (16, 197, 42)-net in base 3 | [i] | ||
| 35 | No (16, 198, 42)-net in base 3 | [i] | ||
| 36 | No (16, 199, 42)-net in base 3 | [i] | ||
| 37 | No (16, 200, 42)-net in base 3 | [i] | ||
| 38 | No (16, 201, 42)-net in base 3 | [i] | ||
| 39 | No (16, 202, 42)-net in base 3 | [i] | ||
| 40 | No (16, 203, 42)-net in base 3 | [i] | ||
| 41 | No (16, 204, 42)-net in base 3 | [i] | ||
| 42 | No (16, 205, 42)-net in base 3 | [i] | ||
| 43 | No (16, 206, 42)-net in base 3 | [i] | ||
| 44 | No (16, 207, 42)-net in base 3 | [i] | ||
| 45 | No (16, 208, 42)-net in base 3 | [i] | ||
| 46 | No (16, 209, 42)-net in base 3 | [i] | ||
| 47 | No (16, 210, 42)-net in base 3 | [i] | ||
| 48 | No (16, 211, 42)-net in base 3 | [i] | ||
| 49 | No (16, 212, 42)-net in base 3 | [i] | ||
| 50 | No (16, 213, 42)-net in base 3 | [i] | ||
| 51 | No (16, 214, 42)-net in base 3 | [i] | ||
| 52 | No (16, 215, 42)-net in base 3 | [i] | ||
| 53 | No (16, 216, 42)-net in base 3 | [i] | ||
| 54 | No (16, 217, 42)-net in base 3 | [i] | ||
| 55 | No (16, 218, 42)-net in base 3 | [i] | ||
| 56 | No (16, 219, 42)-net in base 3 | [i] | ||
| 57 | No (16, 220, 42)-net in base 3 | [i] | ||
| 58 | No (16, 221, 42)-net in base 3 | [i] | ||
| 59 | No (16, 222, 42)-net in base 3 | [i] | ||
| 60 | No (16, 223, 42)-net in base 3 | [i] | ||
| 61 | No (16, 224, 42)-net in base 3 | [i] | ||
| 62 | No (16, 225, 42)-net in base 3 | [i] | ||
| 63 | No (16, 226, 42)-net in base 3 | [i] | ||
| 64 | No (16, 227, 42)-net in base 3 | [i] | ||
| 65 | No (16, 228, 42)-net in base 3 | [i] | ||
| 66 | No (16, 229, 42)-net in base 3 | [i] | ||
| 67 | No (16, 230, 42)-net in base 3 | [i] | ||
| 68 | No (16, 231, 42)-net in base 3 | [i] | ||
| 69 | No (16, 232, 42)-net in base 3 | [i] | ||
| 70 | No (16, 233, 42)-net in base 3 | [i] | ||
| 71 | No (16, 234, 42)-net in base 3 | [i] | ||
| 72 | No (16, 235, 42)-net in base 3 | [i] | ||
| 73 | No (16, 236, 42)-net in base 3 | [i] | ||
| 74 | No (16, 237, 42)-net in base 3 | [i] | ||
| 75 | No (16, 238, 42)-net in base 3 | [i] | ||
| 76 | No (16, 239, 42)-net in base 3 | [i] | ||
| 77 | No (16, 240, 42)-net in base 3 | [i] | ||
| 78 | No (16, 241, 42)-net in base 3 | [i] | ||
| 79 | No (16, 242, 42)-net in base 3 | [i] | ||
| 80 | No (16, 243, 42)-net in base 3 | [i] | ||
| 81 | No (16, 244, 42)-net in base 3 | [i] | ||
| 82 | No (16, 245, 42)-net in base 3 | [i] | ||
| 83 | No (16, 246, 42)-net in base 3 | [i] | ||
| 84 | No (16, 247, 42)-net in base 3 | [i] | ||
| 85 | No (16, 248, 42)-net in base 3 | [i] | ||
| 86 | No (16, 249, 42)-net in base 3 | [i] | ||
| 87 | No (16, 250, 42)-net in base 3 | [i] | ||
| 88 | No (16, m, 42)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |