Information on Result #63703
There is no OOA(4258, 131, S4, 2, 221), because the (dual) Plotkin bound for OOAs shows that M ≥ 8 580997 075163 262143 727375 998851 741521 586794 125179 131761 743079 323981 928979 247070 065153 199550 826818 193721 620389 239351 072546 402484 999645 804765 717535 363893 821440 / 37 > 4258
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(4259, 132, S4, 2, 222) | [i] | Truncation for OOAs | |
| 2 | No OOA(4260, 132, S4, 2, 223) | [i] | ||
| 3 | No OOA(4259, 131, S4, 3, 222) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(4260, 131, S4, 3, 223) | [i] | ||
| 5 | No OOA(4258, 131, S4, 3, 221) | [i] | Depth Reduction | |
| 6 | No (37, 258, 131)-net in base 4 | [i] | Extracting Embedded OOA | |