Information on Result #5255
There is no OA(4252, 256, S4, 192), because 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(4253, 257, S4, 193) | [i] | Truncation | |
| 2 | No OA(4254, 258, S4, 194) | [i] | ||
| 3 | No OA(4255, 259, S4, 195) | [i] | ||
| 4 | No OA(4256, 260, S4, 196) | [i] | ||
| 5 | No OA(4257, 261, S4, 197) | [i] | ||
| 6 | No OOA(4253, 256, S4, 2, 193) | [i] | m-Reduction for OOAs | |
| 7 | No OOA(4254, 256, S4, 2, 194) | [i] | ||
| 8 | No OOA(4255, 256, S4, 2, 195) | [i] | ||
| 9 | No OOA(4256, 256, S4, 2, 196) | [i] | ||
| 10 | No OOA(4257, 256, S4, 2, 197) | [i] | ||
| 11 | No OOA(4258, 256, S4, 2, 198) | [i] | ||
| 12 | No OOA(4259, 256, S4, 2, 199) | [i] | ||
| 13 | No OOA(4260, 256, S4, 2, 200) | [i] | ||
| 14 | No OOA(4252, 256, S4, 2, 192) | [i] | Depth Reduction | |
| 15 | No OOA(4252, 256, S4, 3, 192) | [i] | ||
| 16 | No (60, 252, 256)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |