Information on Result #522096
There is no (24, 254, 86)-net in base 4, because extracting embedded OOA would yield OOA(4254, 86, S4, 3, 230), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 87150 751544 626881 147231 162488 337999 828615 877833 850556 955203 149384 191466 195478 055349 212182 938084 872279 985207 078212 159330 549400 238277 652704 651818 718539 546624 / 77 > 4254 [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 (24, 255, 86)-net in base 4 | [i] | m-Reduction | |
| 2 | No (24, 256, 86)-net in base 4 | [i] | ||
| 3 | No (24, 257, 86)-net in base 4 | [i] | ||
| 4 | No (24, 258, 86)-net in base 4 | [i] | ||
| 5 | No (24, 259, 86)-net in base 4 | [i] | ||
| 6 | No (24, 260, 86)-net in base 4 | [i] | ||
| 7 | No (24, m, 86)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |