Information on Result #522365
There is no (60, 252, 256)-net in base 4, because extracting embedded orthogonal array would yield OA(4252, 256, S4, 192), but
- the (dual) Plotkin bound shows that M ≥ 13407 807929 942597 099574 024998 205846 127479 365820 592393 377723 561443 721764 030073 546976 801874 298166 903427 690031 858186 486050 853753 882811 946569 946433 649006 084096 / 193 > 4252 [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 (60, 253, 256)-net in base 4 | [i] | m-Reduction | |
| 2 | No (60, 254, 256)-net in base 4 | [i] | ||
| 3 | No (60, 255, 256)-net in base 4 | [i] | ||
| 4 | No (60, 256, 256)-net in base 4 | [i] | ||
| 5 | No (60, 257, 256)-net in base 4 | [i] | ||
| 6 | No (60, 258, 256)-net in base 4 | [i] | ||
| 7 | No (60, 259, 256)-net in base 4 | [i] | ||
| 8 | No (60, 260, 256)-net in base 4 | [i] | ||