Information on Result #5244
There is no OA(4235, 239, S4, 179), because the (dual) Plotkin bound shows that M ≥ 48777 321098 687378 615337 456715 518223 527321 845979 140174 232174 327494 146433 419058 837814 379782 860367 062049 372295 798771 978482 741374 619988 879457 910784 / 15 > 4235
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(4236, 240, S4, 180) | [i] | Truncation | |
| 2 | No OA(4237, 241, S4, 181) | [i] | ||
| 3 | No OA(4238, 242, S4, 182) | [i] | ||
| 4 | No OA(4239, 243, S4, 183) | [i] | ||
| 5 | No OA(4240, 244, S4, 184) | [i] | ||
| 6 | No OOA(4236, 239, S4, 2, 180) | [i] | m-Reduction for OOAs | |
| 7 | No OOA(4237, 239, S4, 2, 181) | [i] | ||
| 8 | No OOA(4238, 239, S4, 2, 182) | [i] | ||
| 9 | No OOA(4239, 239, S4, 2, 183) | [i] | ||
| 10 | No OOA(4240, 239, S4, 2, 184) | [i] | ||
| 11 | No OOA(4241, 239, S4, 2, 185) | [i] | ||
| 12 | No OOA(4242, 239, S4, 2, 186) | [i] | ||
| 13 | No OOA(4243, 239, S4, 2, 187) | [i] | ||
| 14 | No OOA(4244, 239, S4, 2, 188) | [i] | ||
| 15 | No OOA(4245, 239, S4, 2, 189) | [i] | ||
| 16 | No OOA(4246, 239, S4, 2, 190) | [i] | ||
| 17 | No OOA(4247, 239, S4, 2, 191) | [i] | ||
| 18 | No OOA(4248, 239, S4, 2, 192) | [i] | ||
| 19 | No OOA(4249, 239, S4, 2, 193) | [i] | ||
| 20 | No OOA(4250, 239, S4, 2, 194) | [i] | ||
| 21 | No OOA(4251, 239, S4, 2, 195) | [i] | ||
| 22 | No OOA(4252, 239, S4, 2, 196) | [i] | ||
| 23 | No OOA(4253, 239, S4, 2, 197) | [i] | ||
| 24 | No OOA(4254, 239, S4, 2, 198) | [i] | ||
| 25 | No OOA(4255, 239, S4, 2, 199) | [i] | ||
| 26 | No OOA(4256, 239, S4, 2, 200) | [i] | ||
| 27 | No OOA(4257, 239, S4, 2, 201) | [i] | ||
| 28 | No OOA(4258, 239, S4, 2, 202) | [i] | ||
| 29 | No OOA(4259, 239, S4, 2, 203) | [i] | ||
| 30 | No OOA(4260, 239, S4, 2, 204) | [i] | ||
| 31 | No OOA(4235, 239, S4, 2, 179) | [i] | Depth Reduction | |
| 32 | No OOA(4235, 239, S4, 3, 179) | [i] | ||
| 33 | No (56, 235, 239)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |