Information on Result #63688
There is no OOA(4220, 112, S4, 2, 189), because the (dual) Plotkin bound for OOAs shows that M ≥ 363 419362 147803 445274 661903 944002 267176 820680 343659 030140 745099 590319 644056 698961 663095 525356 881782 780381 260803 133088 966767 300814 307328 / 95 > 4220
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(4221, 113, S4, 2, 190) | [i] | Truncation for OOAs | |
| 2 | No OOA(4222, 113, S4, 2, 191) | [i] | ||
| 3 | No OOA(4223, 114, S4, 2, 192) | [i] | ||
| 4 | No OOA(4224, 114, S4, 2, 193) | [i] | ||
| 5 | No OOA(4225, 115, S4, 2, 194) | [i] | ||
| 6 | No OOA(4226, 115, S4, 2, 195) | [i] | ||
| 7 | No OOA(4227, 116, S4, 2, 196) | [i] | ||
| 8 | No OOA(4228, 116, S4, 2, 197) | [i] | ||
| 9 | No OOA(4221, 112, S4, 3, 190) | [i] | m-Reduction for OOAs | |
| 10 | No OOA(4222, 112, S4, 3, 191) | [i] | ||
| 11 | No OOA(4223, 112, S4, 3, 192) | [i] | ||
| 12 | No OOA(4224, 112, S4, 3, 193) | [i] | ||
| 13 | No OOA(4225, 112, S4, 3, 194) | [i] | ||
| 14 | No OOA(4226, 112, S4, 3, 195) | [i] | ||
| 15 | No OOA(4227, 112, S4, 3, 196) | [i] | ||
| 16 | No OOA(4228, 112, S4, 3, 197) | [i] | ||
| 17 | No OOA(4229, 112, S4, 3, 198) | [i] | ||
| 18 | No OOA(4230, 112, S4, 3, 199) | [i] | ||
| 19 | No OOA(4231, 112, S4, 3, 200) | [i] | ||
| 20 | No OOA(4232, 112, S4, 3, 201) | [i] | ||
| 21 | No OOA(4233, 112, S4, 3, 202) | [i] | ||
| 22 | No OOA(4234, 112, S4, 3, 203) | [i] | ||
| 23 | No OOA(4235, 112, S4, 3, 204) | [i] | ||
| 24 | No OOA(4236, 112, S4, 3, 205) | [i] | ||
| 25 | No OOA(4237, 112, S4, 3, 206) | [i] | ||
| 26 | No OOA(4238, 112, S4, 3, 207) | [i] | ||
| 27 | No OOA(4239, 112, S4, 3, 208) | [i] | ||
| 28 | No OOA(4240, 112, S4, 3, 209) | [i] | ||
| 29 | No OOA(4241, 112, S4, 3, 210) | [i] | ||
| 30 | No OOA(4242, 112, S4, 3, 211) | [i] | ||
| 31 | No OOA(4243, 112, S4, 3, 212) | [i] | ||
| 32 | No OOA(4244, 112, S4, 3, 213) | [i] | ||
| 33 | No OOA(4245, 112, S4, 3, 214) | [i] | ||
| 34 | No OOA(4246, 112, S4, 3, 215) | [i] | ||
| 35 | No OOA(4247, 112, S4, 3, 216) | [i] | ||
| 36 | No OOA(4248, 112, S4, 3, 217) | [i] | ||
| 37 | No OOA(4249, 112, S4, 3, 218) | [i] | ||
| 38 | No OOA(4250, 112, S4, 3, 219) | [i] | ||
| 39 | No OOA(4251, 112, S4, 3, 220) | [i] | ||
| 40 | No OOA(4252, 112, S4, 3, 221) | [i] | ||
| 41 | No OOA(4253, 112, S4, 3, 222) | [i] | ||
| 42 | No OOA(4254, 112, S4, 3, 223) | [i] | ||
| 43 | No OOA(4255, 112, S4, 3, 224) | [i] | ||
| 44 | No OOA(4256, 112, S4, 3, 225) | [i] | ||
| 45 | No OOA(4257, 112, S4, 3, 226) | [i] | ||
| 46 | No OOA(4258, 112, S4, 3, 227) | [i] | ||
| 47 | No OOA(4259, 112, S4, 3, 228) | [i] | ||
| 48 | No OOA(4260, 112, S4, 3, 229) | [i] | ||
| 49 | No OOA(4220, 112, S4, 3, 189) | [i] | Depth Reduction | |
| 50 | No (31, 220, 112)-net in base 4 | [i] | Extracting Embedded OOA | |