Information on Result #521678
There is no (66, 207, 212)-net in base 3, because extracting embedded orthogonal array would yield OA(3207, 212, S3, 141), but
- the (dual) Plotkin bound shows that M ≥ 47052 721287 394587 764057 094854 672253 553918 218437 190874 778408 030747 195017 485692 977810 906266 281547 645147 / 71 > 3207 [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 (66, 208, 212)-net in base 3 | [i] | m-Reduction | |
| 2 | No (66, 209, 212)-net in base 3 | [i] | ||
| 3 | No (66, 210, 212)-net in base 3 | [i] | ||
| 4 | No (66, 211, 212)-net in base 3 | [i] | ||
| 5 | No (66, 212, 212)-net in base 3 | [i] | ||
| 6 | No (66, 213, 212)-net in base 3 | [i] | ||
| 7 | No (66, 214, 212)-net in base 3 | [i] | ||
| 8 | No (66, 215, 212)-net in base 3 | [i] | ||
| 9 | No (66, 216, 212)-net in base 3 | [i] | ||
| 10 | No (66, 217, 212)-net in base 3 | [i] | ||
| 11 | No (66, 218, 212)-net in base 3 | [i] | ||
| 12 | No (66, 219, 212)-net in base 3 | [i] | ||
| 13 | No (66, 220, 212)-net in base 3 | [i] | ||
| 14 | No (66, 221, 212)-net in base 3 | [i] | ||
| 15 | No (66, 222, 212)-net in base 3 | [i] | ||
| 16 | No (66, 223, 212)-net in base 3 | [i] | ||
| 17 | No (66, 224, 212)-net in base 3 | [i] | ||
| 18 | No (66, 225, 212)-net in base 3 | [i] | ||
| 19 | No (66, 226, 212)-net in base 3 | [i] | ||
| 20 | No (66, 227, 212)-net in base 3 | [i] | ||
| 21 | No (66, 228, 212)-net in base 3 | [i] | ||
| 22 | No (66, 229, 212)-net in base 3 | [i] | ||
| 23 | No (66, 230, 212)-net in base 3 | [i] | ||
| 24 | No (66, 231, 212)-net in base 3 | [i] | ||
| 25 | No (66, 232, 212)-net in base 3 | [i] | ||
| 26 | No (66, 233, 212)-net in base 3 | [i] | ||
| 27 | No (66, 234, 212)-net in base 3 | [i] | ||
| 28 | No (66, 235, 212)-net in base 3 | [i] | ||
| 29 | No (66, 236, 212)-net in base 3 | [i] | ||
| 30 | No (66, 237, 212)-net in base 3 | [i] | ||
| 31 | No (66, 238, 212)-net in base 3 | [i] | ||
| 32 | No (66, 239, 212)-net in base 3 | [i] | ||
| 33 | No (66, 240, 212)-net in base 3 | [i] | ||
| 34 | No (66, 241, 212)-net in base 3 | [i] | ||
| 35 | No (66, 242, 212)-net in base 3 | [i] | ||
| 36 | No (66, 243, 212)-net in base 3 | [i] | ||
| 37 | No (66, 244, 212)-net in base 3 | [i] | ||
| 38 | No (66, 245, 212)-net in base 3 | [i] | ||
| 39 | No (66, 246, 212)-net in base 3 | [i] | ||
| 40 | No (66, 247, 212)-net in base 3 | [i] | ||
| 41 | No (66, 248, 212)-net in base 3 | [i] | ||
| 42 | No (66, 249, 212)-net in base 3 | [i] | ||
| 43 | No (66, 250, 212)-net in base 3 | [i] | ||