Information on Result #63686
There is no OOA(4212, 108, S4, 2, 182), because the (dual) Plotkin bound for OOAs shows that M ≥ 2772 669694 120814 859578 414184 143083 703436 437075 375816 575170 479580 614621 307805 625623 039974 406104 139578 097391 210961 403571 828974 157824 / 61 > 4212
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(4213, 109, S4, 2, 183) | [i] | Truncation for OOAs | |
| 2 | No OOA(4214, 109, S4, 2, 184) | [i] | ||
| 3 | No OOA(4215, 110, S4, 2, 185) | [i] | ||
| 4 | No OOA(4216, 110, S4, 2, 186) | [i] | ||
| 5 | No OOA(4217, 111, S4, 2, 187) | [i] | ||
| 6 | No OOA(4218, 111, S4, 2, 188) | [i] | ||
| 7 | No OOA(4219, 112, S4, 2, 189) | [i] | ||
| 8 | No OOA(4220, 112, S4, 2, 190) | [i] | ||
| 9 | No OOA(4221, 113, S4, 2, 191) | [i] | ||
| 10 | No OOA(4222, 113, S4, 2, 192) | [i] | ||
| 11 | No OOA(4213, 108, S4, 3, 183) | [i] | m-Reduction for OOAs | |
| 12 | No OOA(4214, 108, S4, 3, 184) | [i] | ||
| 13 | No OOA(4215, 108, S4, 3, 185) | [i] | ||
| 14 | No OOA(4216, 108, S4, 3, 186) | [i] | ||
| 15 | No OOA(4217, 108, S4, 3, 187) | [i] | ||
| 16 | No OOA(4218, 108, S4, 3, 188) | [i] | ||
| 17 | No OOA(4219, 108, S4, 3, 189) | [i] | ||
| 18 | No OOA(4220, 108, S4, 3, 190) | [i] | ||
| 19 | No OOA(4221, 108, S4, 3, 191) | [i] | ||
| 20 | No OOA(4222, 108, S4, 3, 192) | [i] | ||
| 21 | No OOA(4223, 108, S4, 3, 193) | [i] | ||
| 22 | No OOA(4224, 108, S4, 3, 194) | [i] | ||
| 23 | No OOA(4225, 108, S4, 3, 195) | [i] | ||
| 24 | No OOA(4226, 108, S4, 3, 196) | [i] | ||
| 25 | No OOA(4227, 108, S4, 3, 197) | [i] | ||
| 26 | No OOA(4228, 108, S4, 3, 198) | [i] | ||
| 27 | No OOA(4229, 108, S4, 3, 199) | [i] | ||
| 28 | No OOA(4230, 108, S4, 3, 200) | [i] | ||
| 29 | No OOA(4231, 108, S4, 3, 201) | [i] | ||
| 30 | No OOA(4232, 108, S4, 3, 202) | [i] | ||
| 31 | No OOA(4233, 108, S4, 3, 203) | [i] | ||
| 32 | No OOA(4234, 108, S4, 3, 204) | [i] | ||
| 33 | No OOA(4235, 108, S4, 3, 205) | [i] | ||
| 34 | No OOA(4236, 108, S4, 3, 206) | [i] | ||
| 35 | No OOA(4237, 108, S4, 3, 207) | [i] | ||
| 36 | No OOA(4238, 108, S4, 3, 208) | [i] | ||
| 37 | No OOA(4239, 108, S4, 3, 209) | [i] | ||
| 38 | No OOA(4240, 108, S4, 3, 210) | [i] | ||
| 39 | No OOA(4241, 108, S4, 3, 211) | [i] | ||
| 40 | No OOA(4242, 108, S4, 3, 212) | [i] | ||
| 41 | No OOA(4243, 108, S4, 3, 213) | [i] | ||
| 42 | No OOA(4244, 108, S4, 3, 214) | [i] | ||
| 43 | No OOA(4245, 108, S4, 3, 215) | [i] | ||
| 44 | No OOA(4246, 108, S4, 3, 216) | [i] | ||
| 45 | No OOA(4247, 108, S4, 3, 217) | [i] | ||
| 46 | No OOA(4248, 108, S4, 3, 218) | [i] | ||
| 47 | No OOA(4249, 108, S4, 3, 219) | [i] | ||
| 48 | No OOA(4250, 108, S4, 3, 220) | [i] | ||
| 49 | No OOA(4251, 108, S4, 3, 221) | [i] | ||
| 50 | No OOA(4252, 108, S4, 3, 222) | [i] | ||
| 51 | No OOA(4253, 108, S4, 3, 223) | [i] | ||
| 52 | No OOA(4254, 108, S4, 3, 224) | [i] | ||
| 53 | No OOA(4255, 108, S4, 3, 225) | [i] | ||
| 54 | No OOA(4256, 108, S4, 3, 226) | [i] | ||
| 55 | No OOA(4257, 108, S4, 3, 227) | [i] | ||
| 56 | No OOA(4258, 108, S4, 3, 228) | [i] | ||
| 57 | No OOA(4259, 108, S4, 3, 229) | [i] | ||
| 58 | No OOA(4260, 108, S4, 3, 230) | [i] | ||
| 59 | No OOA(4212, 108, S4, 3, 182) | [i] | Depth Reduction | |
| 60 | No (30, 212, 108)-net in base 4 | [i] | Extracting Embedded OOA | |