Information on Result #63683
There is no OOA(4206, 105, S4, 2, 177), because the (dual) Plotkin bound for OOAs shows that M ≥ 1 099997 132066 973668 655987 072566 531010 274465 392452 563948 889655 595336 611236 617222 079453 114846 171686 233986 391776 809638 868218 281984 / 89 > 4206
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(4207, 106, S4, 2, 178) | [i] | Truncation for OOAs | |
| 2 | No OOA(4208, 106, S4, 2, 179) | [i] | ||
| 3 | No OOA(4209, 107, S4, 2, 180) | [i] | ||
| 4 | No OOA(4210, 107, S4, 2, 181) | [i] | ||
| 5 | No OOA(4211, 108, S4, 2, 182) | [i] | ||
| 6 | No OOA(4212, 108, S4, 2, 183) | [i] | ||
| 7 | No OOA(4213, 109, S4, 2, 184) | [i] | ||
| 8 | No OOA(4214, 109, S4, 2, 185) | [i] | ||
| 9 | No OOA(4207, 105, S4, 3, 178) | [i] | m-Reduction for OOAs | |
| 10 | No OOA(4208, 105, S4, 3, 179) | [i] | ||
| 11 | No OOA(4209, 105, S4, 3, 180) | [i] | ||
| 12 | No OOA(4210, 105, S4, 3, 181) | [i] | ||
| 13 | No OOA(4211, 105, S4, 3, 182) | [i] | ||
| 14 | No OOA(4212, 105, S4, 3, 183) | [i] | ||
| 15 | No OOA(4213, 105, S4, 3, 184) | [i] | ||
| 16 | No OOA(4214, 105, S4, 3, 185) | [i] | ||
| 17 | No OOA(4215, 105, S4, 3, 186) | [i] | ||
| 18 | No OOA(4216, 105, S4, 3, 187) | [i] | ||
| 19 | No OOA(4217, 105, S4, 3, 188) | [i] | ||
| 20 | No OOA(4218, 105, S4, 3, 189) | [i] | ||
| 21 | No OOA(4219, 105, S4, 3, 190) | [i] | ||
| 22 | No OOA(4220, 105, S4, 3, 191) | [i] | ||
| 23 | No OOA(4221, 105, S4, 3, 192) | [i] | ||
| 24 | No OOA(4222, 105, S4, 3, 193) | [i] | ||
| 25 | No OOA(4223, 105, S4, 3, 194) | [i] | ||
| 26 | No OOA(4224, 105, S4, 3, 195) | [i] | ||
| 27 | No OOA(4225, 105, S4, 3, 196) | [i] | ||
| 28 | No OOA(4226, 105, S4, 3, 197) | [i] | ||
| 29 | No OOA(4227, 105, S4, 3, 198) | [i] | ||
| 30 | No OOA(4228, 105, S4, 3, 199) | [i] | ||
| 31 | No OOA(4229, 105, S4, 3, 200) | [i] | ||
| 32 | No OOA(4230, 105, S4, 3, 201) | [i] | ||
| 33 | No OOA(4231, 105, S4, 3, 202) | [i] | ||
| 34 | No OOA(4232, 105, S4, 3, 203) | [i] | ||
| 35 | No OOA(4233, 105, S4, 3, 204) | [i] | ||
| 36 | No OOA(4234, 105, S4, 3, 205) | [i] | ||
| 37 | No OOA(4235, 105, S4, 3, 206) | [i] | ||
| 38 | No OOA(4236, 105, S4, 3, 207) | [i] | ||
| 39 | No OOA(4237, 105, S4, 3, 208) | [i] | ||
| 40 | No OOA(4238, 105, S4, 3, 209) | [i] | ||
| 41 | No OOA(4239, 105, S4, 3, 210) | [i] | ||
| 42 | No OOA(4240, 105, S4, 3, 211) | [i] | ||
| 43 | No OOA(4241, 105, S4, 3, 212) | [i] | ||
| 44 | No OOA(4242, 105, S4, 3, 213) | [i] | ||
| 45 | No OOA(4243, 105, S4, 3, 214) | [i] | ||
| 46 | No OOA(4244, 105, S4, 3, 215) | [i] | ||
| 47 | No OOA(4245, 105, S4, 3, 216) | [i] | ||
| 48 | No OOA(4246, 105, S4, 3, 217) | [i] | ||
| 49 | No OOA(4247, 105, S4, 3, 218) | [i] | ||
| 50 | No OOA(4248, 105, S4, 3, 219) | [i] | ||
| 51 | No OOA(4249, 105, S4, 3, 220) | [i] | ||
| 52 | No OOA(4250, 105, S4, 3, 221) | [i] | ||
| 53 | No OOA(4251, 105, S4, 3, 222) | [i] | ||
| 54 | No OOA(4252, 105, S4, 3, 223) | [i] | ||
| 55 | No OOA(4253, 105, S4, 3, 224) | [i] | ||
| 56 | No OOA(4254, 105, S4, 3, 225) | [i] | ||
| 57 | No OOA(4255, 105, S4, 3, 226) | [i] | ||
| 58 | No OOA(4256, 105, S4, 3, 227) | [i] | ||
| 59 | No OOA(4257, 105, S4, 3, 228) | [i] | ||
| 60 | No OOA(4258, 105, S4, 3, 229) | [i] | ||
| 61 | No OOA(4259, 105, S4, 3, 230) | [i] | ||
| 62 | No OOA(4260, 105, S4, 3, 231) | [i] | ||
| 63 | No OOA(4206, 105, S4, 3, 177) | [i] | Depth Reduction | |
| 64 | No (29, 206, 105)-net in base 4 | [i] | Extracting Embedded OOA | |