Information on Result #521711
There is no (69, 216, 221)-net in base 3, because extracting embedded orthogonal array would yield OA(3216, 221, S3, 147), but
- the (dual) Plotkin bound shows that M ≥ 926 138713 099787 670959 935798 024513 966701 772293 499227 988263 405269 197039 529170 894882 252068 039219 702299 428401 / 74 > 3216 [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 (69, 217, 221)-net in base 3 | [i] | m-Reduction | |
| 2 | No (69, 218, 221)-net in base 3 | [i] | ||
| 3 | No (69, 219, 221)-net in base 3 | [i] | ||
| 4 | No (69, 220, 221)-net in base 3 | [i] | ||
| 5 | No (69, 221, 221)-net in base 3 | [i] | ||
| 6 | No (69, 222, 221)-net in base 3 | [i] | ||
| 7 | No (69, 223, 221)-net in base 3 | [i] | ||
| 8 | No (69, 224, 221)-net in base 3 | [i] | ||
| 9 | No (69, 225, 221)-net in base 3 | [i] | ||
| 10 | No (69, 226, 221)-net in base 3 | [i] | ||
| 11 | No (69, 227, 221)-net in base 3 | [i] | ||
| 12 | No (69, 228, 221)-net in base 3 | [i] | ||
| 13 | No (69, 229, 221)-net in base 3 | [i] | ||
| 14 | No (69, 230, 221)-net in base 3 | [i] | ||
| 15 | No (69, 231, 221)-net in base 3 | [i] | ||
| 16 | No (69, 232, 221)-net in base 3 | [i] | ||
| 17 | No (69, 233, 221)-net in base 3 | [i] | ||
| 18 | No (69, 234, 221)-net in base 3 | [i] | ||
| 19 | No (69, 235, 221)-net in base 3 | [i] | ||
| 20 | No (69, 236, 221)-net in base 3 | [i] | ||
| 21 | No (69, 237, 221)-net in base 3 | [i] | ||
| 22 | No (69, 238, 221)-net in base 3 | [i] | ||
| 23 | No (69, 239, 221)-net in base 3 | [i] | ||
| 24 | No (69, 240, 221)-net in base 3 | [i] | ||
| 25 | No (69, 241, 221)-net in base 3 | [i] | ||
| 26 | No (69, 242, 221)-net in base 3 | [i] | ||
| 27 | No (69, 243, 221)-net in base 3 | [i] | ||
| 28 | No (69, 244, 221)-net in base 3 | [i] | ||
| 29 | No (69, 245, 221)-net in base 3 | [i] | ||
| 30 | No (69, 246, 221)-net in base 3 | [i] | ||
| 31 | No (69, 247, 221)-net in base 3 | [i] | ||
| 32 | No (69, 248, 221)-net in base 3 | [i] | ||
| 33 | No (69, 249, 221)-net in base 3 | [i] | ||
| 34 | No (69, 250, 221)-net in base 3 | [i] | ||