Information on Result #521533
There is no (51, 162, 167)-net in base 3, because extracting embedded orthogonal array would yield OA(3162, 167, S3, 111), but
- the (dual) Plotkin bound shows that M ≥ 15 926791 088519 786003 064148 590679 881418 931379 526481 396121 112548 658575 277686 941529 / 56 > 3162 [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 (51, 163, 167)-net in base 3 | [i] | m-Reduction | |
| 2 | No (51, 164, 167)-net in base 3 | [i] | ||
| 3 | No (51, 165, 167)-net in base 3 | [i] | ||
| 4 | No (51, 166, 167)-net in base 3 | [i] | ||
| 5 | No (51, 167, 167)-net in base 3 | [i] | ||
| 6 | No (51, 168, 167)-net in base 3 | [i] | ||
| 7 | No (51, 169, 167)-net in base 3 | [i] | ||
| 8 | No (51, 170, 167)-net in base 3 | [i] | ||
| 9 | No (51, 171, 167)-net in base 3 | [i] | ||
| 10 | No (51, 172, 167)-net in base 3 | [i] | ||
| 11 | No (51, 173, 167)-net in base 3 | [i] | ||
| 12 | No (51, 174, 167)-net in base 3 | [i] | ||
| 13 | No (51, 175, 167)-net in base 3 | [i] | ||
| 14 | No (51, 176, 167)-net in base 3 | [i] | ||
| 15 | No (51, 177, 167)-net in base 3 | [i] | ||
| 16 | No (51, 178, 167)-net in base 3 | [i] | ||
| 17 | No (51, 179, 167)-net in base 3 | [i] | ||
| 18 | No (51, 180, 167)-net in base 3 | [i] | ||
| 19 | No (51, 181, 167)-net in base 3 | [i] | ||
| 20 | No (51, 182, 167)-net in base 3 | [i] | ||
| 21 | No (51, 183, 167)-net in base 3 | [i] | ||
| 22 | No (51, 184, 167)-net in base 3 | [i] | ||
| 23 | No (51, 185, 167)-net in base 3 | [i] | ||
| 24 | No (51, 186, 167)-net in base 3 | [i] | ||
| 25 | No (51, 187, 167)-net in base 3 | [i] | ||
| 26 | No (51, 188, 167)-net in base 3 | [i] | ||
| 27 | No (51, 189, 167)-net in base 3 | [i] | ||
| 28 | No (51, 190, 167)-net in base 3 | [i] | ||
| 29 | No (51, 191, 167)-net in base 3 | [i] | ||
| 30 | No (51, 192, 167)-net in base 3 | [i] | ||
| 31 | No (51, 193, 167)-net in base 3 | [i] | ||
| 32 | No (51, 194, 167)-net in base 3 | [i] | ||
| 33 | No (51, 195, 167)-net in base 3 | [i] | ||
| 34 | No (51, 196, 167)-net in base 3 | [i] | ||
| 35 | No (51, 197, 167)-net in base 3 | [i] | ||
| 36 | No (51, 198, 167)-net in base 3 | [i] | ||
| 37 | No (51, 199, 167)-net in base 3 | [i] | ||
| 38 | No (51, 200, 167)-net in base 3 | [i] | ||
| 39 | No (51, 201, 167)-net in base 3 | [i] | ||
| 40 | No (51, 202, 167)-net in base 3 | [i] | ||
| 41 | No (51, 203, 167)-net in base 3 | [i] | ||
| 42 | No (51, 204, 167)-net in base 3 | [i] | ||
| 43 | No (51, 205, 167)-net in base 3 | [i] | ||
| 44 | No (51, 206, 167)-net in base 3 | [i] | ||
| 45 | No (51, 207, 167)-net in base 3 | [i] | ||
| 46 | No (51, 208, 167)-net in base 3 | [i] | ||
| 47 | No (51, 209, 167)-net in base 3 | [i] | ||
| 48 | No (51, 210, 167)-net in base 3 | [i] | ||
| 49 | No (51, 211, 167)-net in base 3 | [i] | ||
| 50 | No (51, 212, 167)-net in base 3 | [i] | ||
| 51 | No (51, 213, 167)-net in base 3 | [i] | ||
| 52 | No (51, 214, 167)-net in base 3 | [i] | ||
| 53 | No (51, 215, 167)-net in base 3 | [i] | ||
| 54 | No (51, 216, 167)-net in base 3 | [i] | ||
| 55 | No (51, 217, 167)-net in base 3 | [i] | ||
| 56 | No (51, 218, 167)-net in base 3 | [i] | ||
| 57 | No (51, 219, 167)-net in base 3 | [i] | ||
| 58 | No (51, 220, 167)-net in base 3 | [i] | ||
| 59 | No (51, 221, 167)-net in base 3 | [i] | ||
| 60 | No (51, 222, 167)-net in base 3 | [i] | ||
| 61 | No (51, 223, 167)-net in base 3 | [i] | ||
| 62 | No (51, 224, 167)-net in base 3 | [i] | ||
| 63 | No (51, 225, 167)-net in base 3 | [i] | ||
| 64 | No (51, 226, 167)-net in base 3 | [i] | ||
| 65 | No (51, 227, 167)-net in base 3 | [i] | ||
| 66 | No (51, 228, 167)-net in base 3 | [i] | ||
| 67 | No (51, 229, 167)-net in base 3 | [i] | ||
| 68 | No (51, 230, 167)-net in base 3 | [i] | ||
| 69 | No (51, 231, 167)-net in base 3 | [i] | ||
| 70 | No (51, 232, 167)-net in base 3 | [i] | ||
| 71 | No (51, 233, 167)-net in base 3 | [i] | ||
| 72 | No (51, 234, 167)-net in base 3 | [i] | ||
| 73 | No (51, 235, 167)-net in base 3 | [i] | ||
| 74 | No (51, 236, 167)-net in base 3 | [i] | ||
| 75 | No (51, 237, 167)-net in base 3 | [i] | ||
| 76 | No (51, 238, 167)-net in base 3 | [i] | ||
| 77 | No (51, 239, 167)-net in base 3 | [i] | ||
| 78 | No (51, 240, 167)-net in base 3 | [i] | ||
| 79 | No (51, 241, 167)-net in base 3 | [i] | ||
| 80 | No (51, 242, 167)-net in base 3 | [i] | ||
| 81 | No (51, 243, 167)-net in base 3 | [i] | ||
| 82 | No (51, 244, 167)-net in base 3 | [i] | ||
| 83 | No (51, 245, 167)-net in base 3 | [i] | ||
| 84 | No (51, 246, 167)-net in base 3 | [i] | ||