Information on Result #521651
There is no (64, 201, 206)-net in base 3, because extracting embedded orthogonal array would yield OA(3201, 206, S3, 137), but
- the (dual) Plotkin bound shows that M ≥ 21 514733 098945 856316 441287 084898 149773 167909 664924 954173 940571 900866 491763 005476 822545 160622 564081 / 23 > 3201 [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 (64, 202, 206)-net in base 3 | [i] | m-Reduction | |
| 2 | No (64, 203, 206)-net in base 3 | [i] | ||
| 3 | No (64, 204, 206)-net in base 3 | [i] | ||
| 4 | No (64, 205, 206)-net in base 3 | [i] | ||
| 5 | No (64, 206, 206)-net in base 3 | [i] | ||
| 6 | No (64, 207, 206)-net in base 3 | [i] | ||
| 7 | No (64, 208, 206)-net in base 3 | [i] | ||
| 8 | No (64, 209, 206)-net in base 3 | [i] | ||
| 9 | No (64, 210, 206)-net in base 3 | [i] | ||
| 10 | No (64, 211, 206)-net in base 3 | [i] | ||
| 11 | No (64, 212, 206)-net in base 3 | [i] | ||
| 12 | No (64, 213, 206)-net in base 3 | [i] | ||
| 13 | No (64, 214, 206)-net in base 3 | [i] | ||
| 14 | No (64, 215, 206)-net in base 3 | [i] | ||
| 15 | No (64, 216, 206)-net in base 3 | [i] | ||
| 16 | No (64, 217, 206)-net in base 3 | [i] | ||
| 17 | No (64, 218, 206)-net in base 3 | [i] | ||
| 18 | No (64, 219, 206)-net in base 3 | [i] | ||
| 19 | No (64, 220, 206)-net in base 3 | [i] | ||
| 20 | No (64, 221, 206)-net in base 3 | [i] | ||
| 21 | No (64, 222, 206)-net in base 3 | [i] | ||
| 22 | No (64, 223, 206)-net in base 3 | [i] | ||
| 23 | No (64, 224, 206)-net in base 3 | [i] | ||
| 24 | No (64, 225, 206)-net in base 3 | [i] | ||
| 25 | No (64, 226, 206)-net in base 3 | [i] | ||
| 26 | No (64, 227, 206)-net in base 3 | [i] | ||
| 27 | No (64, 228, 206)-net in base 3 | [i] | ||
| 28 | No (64, 229, 206)-net in base 3 | [i] | ||
| 29 | No (64, 230, 206)-net in base 3 | [i] | ||
| 30 | No (64, 231, 206)-net in base 3 | [i] | ||
| 31 | No (64, 232, 206)-net in base 3 | [i] | ||
| 32 | No (64, 233, 206)-net in base 3 | [i] | ||
| 33 | No (64, 234, 206)-net in base 3 | [i] | ||
| 34 | No (64, 235, 206)-net in base 3 | [i] | ||
| 35 | No (64, 236, 206)-net in base 3 | [i] | ||
| 36 | No (64, 237, 206)-net in base 3 | [i] | ||
| 37 | No (64, 238, 206)-net in base 3 | [i] | ||
| 38 | No (64, 239, 206)-net in base 3 | [i] | ||
| 39 | No (64, 240, 206)-net in base 3 | [i] | ||
| 40 | No (64, 241, 206)-net in base 3 | [i] | ||
| 41 | No (64, 242, 206)-net in base 3 | [i] | ||
| 42 | No (64, 243, 206)-net in base 3 | [i] | ||
| 43 | No (64, 244, 206)-net in base 3 | [i] | ||
| 44 | No (64, 245, 206)-net in base 3 | [i] | ||
| 45 | No (64, 246, 206)-net in base 3 | [i] | ||
| 46 | No (64, 247, 206)-net in base 3 | [i] | ||
| 47 | No (64, 248, 206)-net in base 3 | [i] | ||
| 48 | No (64, 249, 206)-net in base 3 | [i] | ||
| 49 | No (64, 250, 206)-net in base 3 | [i] | ||