Information on Result #522364
There is no (59, 247, 251)-net in base 4, because extracting embedded orthogonal array would yield OA(4247, 251, S4, 188), but
- the (dual) Plotkin bound shows that M ≥ 3 273390 607896 141870 013189 696827 599152 216642 046043 064789 483291 368096 133796 404674 554883 270092 325904 157150 886684 127560 071009 217256 545885 393053 328527 589376 / 63 > 4247 [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 (59, 248, 251)-net in base 4 | [i] | m-Reduction | |
| 2 | No (59, 249, 251)-net in base 4 | [i] | ||
| 3 | No (59, 250, 251)-net in base 4 | [i] | ||
| 4 | No (59, 251, 251)-net in base 4 | [i] | ||
| 5 | No (59, 252, 251)-net in base 4 | [i] | ||
| 6 | No (59, 253, 251)-net in base 4 | [i] | ||
| 7 | No (59, 254, 251)-net in base 4 | [i] | ||
| 8 | No (59, 255, 251)-net in base 4 | [i] | ||
| 9 | No (59, 256, 251)-net in base 4 | [i] | ||
| 10 | No (59, 257, 251)-net in base 4 | [i] | ||
| 11 | No (59, 258, 251)-net in base 4 | [i] | ||
| 12 | No (59, 259, 251)-net in base 4 | [i] | ||
| 13 | No (59, 260, 251)-net in base 4 | [i] | ||