Information on Result #521522
There is no (48, 153, 157)-net in base 3, because extracting embedded orthogonal array would yield OA(3153, 157, S3, 105), but
- the (dual) Plotkin bound shows that M ≥ 539 443211 181215 126524 213740 814573 707223 877780 368216 095822 538862 929948 947042 / 53 > 3153 [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 (48, 154, 157)-net in base 3 | [i] | m-Reduction | |
| 2 | No (48, 155, 157)-net in base 3 | [i] | ||
| 3 | No (48, 156, 157)-net in base 3 | [i] | ||
| 4 | No (48, 157, 157)-net in base 3 | [i] | ||
| 5 | No (48, 158, 157)-net in base 3 | [i] | ||
| 6 | No (48, 159, 157)-net in base 3 | [i] | ||
| 7 | No (48, 160, 157)-net in base 3 | [i] | ||
| 8 | No (48, 161, 157)-net in base 3 | [i] | ||
| 9 | No (48, 162, 157)-net in base 3 | [i] | ||
| 10 | No (48, 163, 157)-net in base 3 | [i] | ||
| 11 | No (48, 164, 157)-net in base 3 | [i] | ||
| 12 | No (48, 165, 157)-net in base 3 | [i] | ||
| 13 | No (48, 166, 157)-net in base 3 | [i] | ||
| 14 | No (48, 167, 157)-net in base 3 | [i] | ||
| 15 | No (48, 168, 157)-net in base 3 | [i] | ||
| 16 | No (48, 169, 157)-net in base 3 | [i] | ||
| 17 | No (48, 170, 157)-net in base 3 | [i] | ||
| 18 | No (48, 171, 157)-net in base 3 | [i] | ||
| 19 | No (48, 172, 157)-net in base 3 | [i] | ||
| 20 | No (48, 173, 157)-net in base 3 | [i] | ||
| 21 | No (48, 174, 157)-net in base 3 | [i] | ||
| 22 | No (48, 175, 157)-net in base 3 | [i] | ||
| 23 | No (48, 176, 157)-net in base 3 | [i] | ||
| 24 | No (48, 177, 157)-net in base 3 | [i] | ||
| 25 | No (48, 178, 157)-net in base 3 | [i] | ||
| 26 | No (48, 179, 157)-net in base 3 | [i] | ||
| 27 | No (48, 180, 157)-net in base 3 | [i] | ||
| 28 | No (48, 181, 157)-net in base 3 | [i] | ||
| 29 | No (48, 182, 157)-net in base 3 | [i] | ||
| 30 | No (48, 183, 157)-net in base 3 | [i] | ||
| 31 | No (48, 184, 157)-net in base 3 | [i] | ||
| 32 | No (48, 185, 157)-net in base 3 | [i] | ||
| 33 | No (48, 186, 157)-net in base 3 | [i] | ||
| 34 | No (48, 187, 157)-net in base 3 | [i] | ||
| 35 | No (48, 188, 157)-net in base 3 | [i] | ||
| 36 | No (48, 189, 157)-net in base 3 | [i] | ||
| 37 | No (48, 190, 157)-net in base 3 | [i] | ||
| 38 | No (48, 191, 157)-net in base 3 | [i] | ||
| 39 | No (48, 192, 157)-net in base 3 | [i] | ||
| 40 | No (48, 193, 157)-net in base 3 | [i] | ||
| 41 | No (48, 194, 157)-net in base 3 | [i] | ||
| 42 | No (48, 195, 157)-net in base 3 | [i] | ||
| 43 | No (48, 196, 157)-net in base 3 | [i] | ||
| 44 | No (48, 197, 157)-net in base 3 | [i] | ||
| 45 | No (48, 198, 157)-net in base 3 | [i] | ||
| 46 | No (48, 199, 157)-net in base 3 | [i] | ||
| 47 | No (48, 200, 157)-net in base 3 | [i] | ||
| 48 | No (48, 201, 157)-net in base 3 | [i] | ||
| 49 | No (48, 202, 157)-net in base 3 | [i] | ||
| 50 | No (48, 203, 157)-net in base 3 | [i] | ||
| 51 | No (48, 204, 157)-net in base 3 | [i] | ||
| 52 | No (48, 205, 157)-net in base 3 | [i] | ||
| 53 | No (48, 206, 157)-net in base 3 | [i] | ||
| 54 | No (48, 207, 157)-net in base 3 | [i] | ||
| 55 | No (48, 208, 157)-net in base 3 | [i] | ||
| 56 | No (48, 209, 157)-net in base 3 | [i] | ||
| 57 | No (48, 210, 157)-net in base 3 | [i] | ||
| 58 | No (48, 211, 157)-net in base 3 | [i] | ||
| 59 | No (48, 212, 157)-net in base 3 | [i] | ||
| 60 | No (48, 213, 157)-net in base 3 | [i] | ||
| 61 | No (48, 214, 157)-net in base 3 | [i] | ||
| 62 | No (48, 215, 157)-net in base 3 | [i] | ||
| 63 | No (48, 216, 157)-net in base 3 | [i] | ||
| 64 | No (48, 217, 157)-net in base 3 | [i] | ||
| 65 | No (48, 218, 157)-net in base 3 | [i] | ||
| 66 | No (48, 219, 157)-net in base 3 | [i] | ||
| 67 | No (48, 220, 157)-net in base 3 | [i] | ||
| 68 | No (48, 221, 157)-net in base 3 | [i] | ||
| 69 | No (48, 222, 157)-net in base 3 | [i] | ||
| 70 | No (48, 223, 157)-net in base 3 | [i] | ||
| 71 | No (48, 224, 157)-net in base 3 | [i] | ||
| 72 | No (48, 225, 157)-net in base 3 | [i] | ||
| 73 | No (48, 226, 157)-net in base 3 | [i] | ||
| 74 | No (48, 227, 157)-net in base 3 | [i] | ||
| 75 | No (48, 228, 157)-net in base 3 | [i] | ||
| 76 | No (48, 229, 157)-net in base 3 | [i] | ||
| 77 | No (48, 230, 157)-net in base 3 | [i] | ||
| 78 | No (48, 231, 157)-net in base 3 | [i] | ||
| 79 | No (48, 232, 157)-net in base 3 | [i] | ||