Information on Result #521735
There is no (72, 225, 230)-net in base 3, because extracting embedded orthogonal array would yield OA(3225, 230, S3, 153), but
- the (dual) Plotkin bound shows that M ≥ 18 229188 289943 120727 504416 312516 508406 590984 052945 304492 988605 913605 329052 670723 967367 455215 961400 359649 216883 / 77 > 3225 [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 (72, 226, 230)-net in base 3 | [i] | m-Reduction | |
| 2 | No (72, 227, 230)-net in base 3 | [i] | ||
| 3 | No (72, 228, 230)-net in base 3 | [i] | ||
| 4 | No (72, 229, 230)-net in base 3 | [i] | ||
| 5 | No (72, 230, 230)-net in base 3 | [i] | ||
| 6 | No (72, 231, 230)-net in base 3 | [i] | ||
| 7 | No (72, 232, 230)-net in base 3 | [i] | ||
| 8 | No (72, 233, 230)-net in base 3 | [i] | ||
| 9 | No (72, 234, 230)-net in base 3 | [i] | ||
| 10 | No (72, 235, 230)-net in base 3 | [i] | ||
| 11 | No (72, 236, 230)-net in base 3 | [i] | ||
| 12 | No (72, 237, 230)-net in base 3 | [i] | ||
| 13 | No (72, 238, 230)-net in base 3 | [i] | ||
| 14 | No (72, 239, 230)-net in base 3 | [i] | ||
| 15 | No (72, 240, 230)-net in base 3 | [i] | ||
| 16 | No (72, 241, 230)-net in base 3 | [i] | ||
| 17 | No (72, 242, 230)-net in base 3 | [i] | ||
| 18 | No (72, 243, 230)-net in base 3 | [i] | ||
| 19 | No (72, 244, 230)-net in base 3 | [i] | ||
| 20 | No (72, 245, 230)-net in base 3 | [i] | ||
| 21 | No (72, 246, 230)-net in base 3 | [i] | ||
| 22 | No (72, 247, 230)-net in base 3 | [i] | ||
| 23 | No (72, 248, 230)-net in base 3 | [i] | ||
| 24 | No (72, 249, 230)-net in base 3 | [i] | ||
| 25 | No (72, 250, 230)-net in base 3 | [i] | ||