Information on Result #521541
There is no (53, 168, 173)-net in base 3, because extracting embedded orthogonal array would yield OA(3168, 173, S3, 115), but
- the (dual) Plotkin bound shows that M ≥ 11610 630703 530923 996233 764322 605633 554400 975674 804937 772291 047972 101377 433780 374641 / 58 > 3168 [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 (53, 169, 173)-net in base 3 | [i] | m-Reduction | |
| 2 | No (53, 170, 173)-net in base 3 | [i] | ||
| 3 | No (53, 171, 173)-net in base 3 | [i] | ||
| 4 | No (53, 172, 173)-net in base 3 | [i] | ||
| 5 | No (53, 173, 173)-net in base 3 | [i] | ||
| 6 | No (53, 174, 173)-net in base 3 | [i] | ||
| 7 | No (53, 175, 173)-net in base 3 | [i] | ||
| 8 | No (53, 176, 173)-net in base 3 | [i] | ||
| 9 | No (53, 177, 173)-net in base 3 | [i] | ||
| 10 | No (53, 178, 173)-net in base 3 | [i] | ||
| 11 | No (53, 179, 173)-net in base 3 | [i] | ||
| 12 | No (53, 180, 173)-net in base 3 | [i] | ||
| 13 | No (53, 181, 173)-net in base 3 | [i] | ||
| 14 | No (53, 182, 173)-net in base 3 | [i] | ||
| 15 | No (53, 183, 173)-net in base 3 | [i] | ||
| 16 | No (53, 184, 173)-net in base 3 | [i] | ||
| 17 | No (53, 185, 173)-net in base 3 | [i] | ||
| 18 | No (53, 186, 173)-net in base 3 | [i] | ||
| 19 | No (53, 187, 173)-net in base 3 | [i] | ||
| 20 | No (53, 188, 173)-net in base 3 | [i] | ||
| 21 | No (53, 189, 173)-net in base 3 | [i] | ||
| 22 | No (53, 190, 173)-net in base 3 | [i] | ||
| 23 | No (53, 191, 173)-net in base 3 | [i] | ||
| 24 | No (53, 192, 173)-net in base 3 | [i] | ||
| 25 | No (53, 193, 173)-net in base 3 | [i] | ||
| 26 | No (53, 194, 173)-net in base 3 | [i] | ||
| 27 | No (53, 195, 173)-net in base 3 | [i] | ||
| 28 | No (53, 196, 173)-net in base 3 | [i] | ||
| 29 | No (53, 197, 173)-net in base 3 | [i] | ||
| 30 | No (53, 198, 173)-net in base 3 | [i] | ||
| 31 | No (53, 199, 173)-net in base 3 | [i] | ||
| 32 | No (53, 200, 173)-net in base 3 | [i] | ||
| 33 | No (53, 201, 173)-net in base 3 | [i] | ||
| 34 | No (53, 202, 173)-net in base 3 | [i] | ||
| 35 | No (53, 203, 173)-net in base 3 | [i] | ||
| 36 | No (53, 204, 173)-net in base 3 | [i] | ||
| 37 | No (53, 205, 173)-net in base 3 | [i] | ||
| 38 | No (53, 206, 173)-net in base 3 | [i] | ||
| 39 | No (53, 207, 173)-net in base 3 | [i] | ||
| 40 | No (53, 208, 173)-net in base 3 | [i] | ||
| 41 | No (53, 209, 173)-net in base 3 | [i] | ||
| 42 | No (53, 210, 173)-net in base 3 | [i] | ||
| 43 | No (53, 211, 173)-net in base 3 | [i] | ||
| 44 | No (53, 212, 173)-net in base 3 | [i] | ||
| 45 | No (53, 213, 173)-net in base 3 | [i] | ||
| 46 | No (53, 214, 173)-net in base 3 | [i] | ||
| 47 | No (53, 215, 173)-net in base 3 | [i] | ||
| 48 | No (53, 216, 173)-net in base 3 | [i] | ||
| 49 | No (53, 217, 173)-net in base 3 | [i] | ||
| 50 | No (53, 218, 173)-net in base 3 | [i] | ||
| 51 | No (53, 219, 173)-net in base 3 | [i] | ||
| 52 | No (53, 220, 173)-net in base 3 | [i] | ||
| 53 | No (53, 221, 173)-net in base 3 | [i] | ||
| 54 | No (53, 222, 173)-net in base 3 | [i] | ||
| 55 | No (53, 223, 173)-net in base 3 | [i] | ||
| 56 | No (53, 224, 173)-net in base 3 | [i] | ||
| 57 | No (53, 225, 173)-net in base 3 | [i] | ||
| 58 | No (53, 226, 173)-net in base 3 | [i] | ||
| 59 | No (53, 227, 173)-net in base 3 | [i] | ||
| 60 | No (53, 228, 173)-net in base 3 | [i] | ||
| 61 | No (53, 229, 173)-net in base 3 | [i] | ||
| 62 | No (53, 230, 173)-net in base 3 | [i] | ||
| 63 | No (53, 231, 173)-net in base 3 | [i] | ||
| 64 | No (53, 232, 173)-net in base 3 | [i] | ||
| 65 | No (53, 233, 173)-net in base 3 | [i] | ||
| 66 | No (53, 234, 173)-net in base 3 | [i] | ||
| 67 | No (53, 235, 173)-net in base 3 | [i] | ||
| 68 | No (53, 236, 173)-net in base 3 | [i] | ||
| 69 | No (53, 237, 173)-net in base 3 | [i] | ||
| 70 | No (53, 238, 173)-net in base 3 | [i] | ||
| 71 | No (53, 239, 173)-net in base 3 | [i] | ||
| 72 | No (53, 240, 173)-net in base 3 | [i] | ||
| 73 | No (53, 241, 173)-net in base 3 | [i] | ||
| 74 | No (53, 242, 173)-net in base 3 | [i] | ||
| 75 | No (53, 243, 173)-net in base 3 | [i] | ||
| 76 | No (53, 244, 173)-net in base 3 | [i] | ||
| 77 | No (53, 245, 173)-net in base 3 | [i] | ||
| 78 | No (53, 246, 173)-net in base 3 | [i] | ||
| 79 | No (53, 247, 173)-net in base 3 | [i] | ||
| 80 | No (53, 248, 173)-net in base 3 | [i] | ||
| 81 | No (53, 249, 173)-net in base 3 | [i] | ||
| 82 | No (53, 250, 173)-net in base 3 | [i] | ||