Information on Result #5252
There is no OA(4247, 251, S4, 188), because the (dual) Plotkin bound shows that M ≥ 3 273390 607896 141870 013189 696827 599152 216642 046043 064789 483291 368096 133796 404674 554883 270092 325904 157150 886684 127560 071009 217256 545885 393053 328527 589376 / 63 > 4247
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(4248, 252, S4, 189) | [i] | Truncation | |
| 2 | No OA(4249, 253, S4, 190) | [i] | ||
| 3 | No OA(4250, 254, S4, 191) | [i] | ||
| 4 | No OA(4251, 255, S4, 192) | [i] | ||
| 5 | No OA(4252, 256, S4, 193) | [i] | ||
| 6 | No OA(4253, 257, S4, 194) | [i] | ||
| 7 | No OOA(4248, 251, S4, 2, 189) | [i] | m-Reduction for OOAs | |
| 8 | No OOA(4249, 251, S4, 2, 190) | [i] | ||
| 9 | No OOA(4250, 251, S4, 2, 191) | [i] | ||
| 10 | No OOA(4251, 251, S4, 2, 192) | [i] | ||
| 11 | No OOA(4252, 251, S4, 2, 193) | [i] | ||
| 12 | No OOA(4253, 251, S4, 2, 194) | [i] | ||
| 13 | No OOA(4254, 251, S4, 2, 195) | [i] | ||
| 14 | No OOA(4255, 251, S4, 2, 196) | [i] | ||
| 15 | No OOA(4256, 251, S4, 2, 197) | [i] | ||
| 16 | No OOA(4257, 251, S4, 2, 198) | [i] | ||
| 17 | No OOA(4258, 251, S4, 2, 199) | [i] | ||
| 18 | No OOA(4259, 251, S4, 2, 200) | [i] | ||
| 19 | No OOA(4260, 251, S4, 2, 201) | [i] | ||
| 20 | No OOA(4247, 251, S4, 2, 188) | [i] | Depth Reduction | |
| 21 | No OOA(4247, 251, S4, 3, 188) | [i] | ||
| 22 | No (59, 247, 251)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |