Information on Result #63700
There is no OOA(4252, 128, S4, 2, 216), because the (dual) Plotkin bound for OOAs 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 / 217 > 4252
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(4253, 129, S4, 2, 217) | [i] | Truncation for OOAs | |
| 2 | No OOA(4254, 129, S4, 2, 218) | [i] | ||
| 3 | No OOA(4255, 130, S4, 2, 219) | [i] | ||
| 4 | No OOA(4256, 130, S4, 2, 220) | [i] | ||
| 5 | No OOA(4257, 131, S4, 2, 221) | [i] | ||
| 6 | No OOA(4258, 131, S4, 2, 222) | [i] | ||
| 7 | No OOA(4259, 132, S4, 2, 223) | [i] | ||
| 8 | No OOA(4260, 132, S4, 2, 224) | [i] | ||
| 9 | No OOA(4253, 128, S4, 3, 217) | [i] | m-Reduction for OOAs | |
| 10 | No OOA(4254, 128, S4, 3, 218) | [i] | ||
| 11 | No OOA(4255, 128, S4, 3, 219) | [i] | ||
| 12 | No OOA(4256, 128, S4, 3, 220) | [i] | ||
| 13 | No OOA(4257, 128, S4, 3, 221) | [i] | ||
| 14 | No OOA(4258, 128, S4, 3, 222) | [i] | ||
| 15 | No OOA(4259, 128, S4, 3, 223) | [i] | ||
| 16 | No OOA(4260, 128, S4, 3, 224) | [i] | ||
| 17 | No OOA(4252, 128, S4, 3, 216) | [i] | Depth Reduction | |
| 18 | No (36, 252, 128)-net in base 4 | [i] | Extracting Embedded OOA | |