Information on Result #521529
There is no (50, 159, 164)-net in base 3, because extracting embedded orthogonal array would yield OA(3159, 164, S3, 109), but
- the (dual) Plotkin bound shows that M ≥ 589881 151426 658740 854227 725580 736348 849310 352832 644300 781946 246613 899173 590427 / 55 > 3159 [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 (50, 160, 164)-net in base 3 | [i] | m-Reduction | |
| 2 | No (50, 161, 164)-net in base 3 | [i] | ||
| 3 | No (50, 162, 164)-net in base 3 | [i] | ||
| 4 | No (50, 163, 164)-net in base 3 | [i] | ||
| 5 | No (50, 164, 164)-net in base 3 | [i] | ||
| 6 | No (50, 165, 164)-net in base 3 | [i] | ||
| 7 | No (50, 166, 164)-net in base 3 | [i] | ||
| 8 | No (50, 167, 164)-net in base 3 | [i] | ||
| 9 | No (50, 168, 164)-net in base 3 | [i] | ||
| 10 | No (50, 169, 164)-net in base 3 | [i] | ||
| 11 | No (50, 170, 164)-net in base 3 | [i] | ||
| 12 | No (50, 171, 164)-net in base 3 | [i] | ||
| 13 | No (50, 172, 164)-net in base 3 | [i] | ||
| 14 | No (50, 173, 164)-net in base 3 | [i] | ||
| 15 | No (50, 174, 164)-net in base 3 | [i] | ||
| 16 | No (50, 175, 164)-net in base 3 | [i] | ||
| 17 | No (50, 176, 164)-net in base 3 | [i] | ||
| 18 | No (50, 177, 164)-net in base 3 | [i] | ||
| 19 | No (50, 178, 164)-net in base 3 | [i] | ||
| 20 | No (50, 179, 164)-net in base 3 | [i] | ||
| 21 | No (50, 180, 164)-net in base 3 | [i] | ||
| 22 | No (50, 181, 164)-net in base 3 | [i] | ||
| 23 | No (50, 182, 164)-net in base 3 | [i] | ||
| 24 | No (50, 183, 164)-net in base 3 | [i] | ||
| 25 | No (50, 184, 164)-net in base 3 | [i] | ||
| 26 | No (50, 185, 164)-net in base 3 | [i] | ||
| 27 | No (50, 186, 164)-net in base 3 | [i] | ||
| 28 | No (50, 187, 164)-net in base 3 | [i] | ||
| 29 | No (50, 188, 164)-net in base 3 | [i] | ||
| 30 | No (50, 189, 164)-net in base 3 | [i] | ||
| 31 | No (50, 190, 164)-net in base 3 | [i] | ||
| 32 | No (50, 191, 164)-net in base 3 | [i] | ||
| 33 | No (50, 192, 164)-net in base 3 | [i] | ||
| 34 | No (50, 193, 164)-net in base 3 | [i] | ||
| 35 | No (50, 194, 164)-net in base 3 | [i] | ||
| 36 | No (50, 195, 164)-net in base 3 | [i] | ||
| 37 | No (50, 196, 164)-net in base 3 | [i] | ||
| 38 | No (50, 197, 164)-net in base 3 | [i] | ||
| 39 | No (50, 198, 164)-net in base 3 | [i] | ||
| 40 | No (50, 199, 164)-net in base 3 | [i] | ||
| 41 | No (50, 200, 164)-net in base 3 | [i] | ||
| 42 | No (50, 201, 164)-net in base 3 | [i] | ||
| 43 | No (50, 202, 164)-net in base 3 | [i] | ||
| 44 | No (50, 203, 164)-net in base 3 | [i] | ||
| 45 | No (50, 204, 164)-net in base 3 | [i] | ||
| 46 | No (50, 205, 164)-net in base 3 | [i] | ||
| 47 | No (50, 206, 164)-net in base 3 | [i] | ||
| 48 | No (50, 207, 164)-net in base 3 | [i] | ||
| 49 | No (50, 208, 164)-net in base 3 | [i] | ||
| 50 | No (50, 209, 164)-net in base 3 | [i] | ||
| 51 | No (50, 210, 164)-net in base 3 | [i] | ||
| 52 | No (50, 211, 164)-net in base 3 | [i] | ||
| 53 | No (50, 212, 164)-net in base 3 | [i] | ||
| 54 | No (50, 213, 164)-net in base 3 | [i] | ||
| 55 | No (50, 214, 164)-net in base 3 | [i] | ||
| 56 | No (50, 215, 164)-net in base 3 | [i] | ||
| 57 | No (50, 216, 164)-net in base 3 | [i] | ||
| 58 | No (50, 217, 164)-net in base 3 | [i] | ||
| 59 | No (50, 218, 164)-net in base 3 | [i] | ||
| 60 | No (50, 219, 164)-net in base 3 | [i] | ||
| 61 | No (50, 220, 164)-net in base 3 | [i] | ||
| 62 | No (50, 221, 164)-net in base 3 | [i] | ||
| 63 | No (50, 222, 164)-net in base 3 | [i] | ||
| 64 | No (50, 223, 164)-net in base 3 | [i] | ||
| 65 | No (50, 224, 164)-net in base 3 | [i] | ||
| 66 | No (50, 225, 164)-net in base 3 | [i] | ||
| 67 | No (50, 226, 164)-net in base 3 | [i] | ||
| 68 | No (50, 227, 164)-net in base 3 | [i] | ||
| 69 | No (50, 228, 164)-net in base 3 | [i] | ||
| 70 | No (50, 229, 164)-net in base 3 | [i] | ||
| 71 | No (50, 230, 164)-net in base 3 | [i] | ||
| 72 | No (50, 231, 164)-net in base 3 | [i] | ||
| 73 | No (50, 232, 164)-net in base 3 | [i] | ||
| 74 | No (50, 233, 164)-net in base 3 | [i] | ||
| 75 | No (50, 234, 164)-net in base 3 | [i] | ||
| 76 | No (50, 235, 164)-net in base 3 | [i] | ||
| 77 | No (50, 236, 164)-net in base 3 | [i] | ||
| 78 | No (50, 237, 164)-net in base 3 | [i] | ||
| 79 | No (50, 238, 164)-net in base 3 | [i] | ||
| 80 | No (50, 239, 164)-net in base 3 | [i] | ||
| 81 | No (50, 240, 164)-net in base 3 | [i] | ||
| 82 | No (50, 241, 164)-net in base 3 | [i] | ||
| 83 | No (50, 242, 164)-net in base 3 | [i] | ||