Information on Result #63657
There is no OOA(4140, 72, S4, 2, 121), because the (dual) Plotkin bound for OOAs shows that M ≥ 124 330809 102446 660538 845562 036705 210025 114037 699336 929360 115994 223289 874253 133343 883264 / 61 > 4140
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(4141, 73, S4, 2, 122) | [i] | Truncation for OOAs | |
| 2 | No OOA(4142, 73, S4, 2, 123) | [i] | ||
| 3 | No OOA(4143, 74, S4, 2, 124) | [i] | ||
| 4 | No OOA(4144, 74, S4, 2, 125) | [i] | ||
| 5 | No OOA(4141, 72, S4, 3, 122) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(4142, 72, S4, 3, 123) | [i] | ||
| 7 | No OOA(4143, 72, S4, 3, 124) | [i] | ||
| 8 | No OOA(4144, 72, S4, 3, 125) | [i] | ||
| 9 | No OOA(4145, 72, S4, 3, 126) | [i] | ||
| 10 | No OOA(4146, 72, S4, 3, 127) | [i] | ||
| 11 | No OOA(4147, 72, S4, 3, 128) | [i] | ||
| 12 | No OOA(4148, 72, S4, 3, 129) | [i] | ||
| 13 | No OOA(4149, 72, S4, 3, 130) | [i] | ||
| 14 | No OOA(4150, 72, S4, 3, 131) | [i] | ||
| 15 | No OOA(4151, 72, S4, 3, 132) | [i] | ||
| 16 | No OOA(4152, 72, S4, 3, 133) | [i] | ||
| 17 | No OOA(4153, 72, S4, 3, 134) | [i] | ||
| 18 | No OOA(4154, 72, S4, 3, 135) | [i] | ||
| 19 | No OOA(4155, 72, S4, 3, 136) | [i] | ||
| 20 | No OOA(4156, 72, S4, 3, 137) | [i] | ||
| 21 | No OOA(4157, 72, S4, 3, 138) | [i] | ||
| 22 | No OOA(4158, 72, S4, 3, 139) | [i] | ||
| 23 | No OOA(4159, 72, S4, 3, 140) | [i] | ||
| 24 | No OOA(4160, 72, S4, 3, 141) | [i] | ||
| 25 | No OOA(4161, 72, S4, 3, 142) | [i] | ||
| 26 | No OOA(4162, 72, S4, 3, 143) | [i] | ||
| 27 | No OOA(4163, 72, S4, 3, 144) | [i] | ||
| 28 | No OOA(4164, 72, S4, 3, 145) | [i] | ||
| 29 | No OOA(4165, 72, S4, 3, 146) | [i] | ||
| 30 | No OOA(4166, 72, S4, 3, 147) | [i] | ||
| 31 | No OOA(4167, 72, S4, 3, 148) | [i] | ||
| 32 | No OOA(4168, 72, S4, 3, 149) | [i] | ||
| 33 | No OOA(4169, 72, S4, 3, 150) | [i] | ||
| 34 | No OOA(4170, 72, S4, 3, 151) | [i] | ||
| 35 | No OOA(4171, 72, S4, 3, 152) | [i] | ||
| 36 | No OOA(4172, 72, S4, 3, 153) | [i] | ||
| 37 | No OOA(4173, 72, S4, 3, 154) | [i] | ||
| 38 | No OOA(4174, 72, S4, 3, 155) | [i] | ||
| 39 | No OOA(4175, 72, S4, 3, 156) | [i] | ||
| 40 | No OOA(4176, 72, S4, 3, 157) | [i] | ||
| 41 | No OOA(4177, 72, S4, 3, 158) | [i] | ||
| 42 | No OOA(4178, 72, S4, 3, 159) | [i] | ||
| 43 | No OOA(4179, 72, S4, 3, 160) | [i] | ||
| 44 | No OOA(4180, 72, S4, 3, 161) | [i] | ||
| 45 | No OOA(4181, 72, S4, 3, 162) | [i] | ||
| 46 | No OOA(4182, 72, S4, 3, 163) | [i] | ||
| 47 | No OOA(4183, 72, S4, 3, 164) | [i] | ||
| 48 | No OOA(4184, 72, S4, 3, 165) | [i] | ||
| 49 | No OOA(4185, 72, S4, 3, 166) | [i] | ||
| 50 | No OOA(4186, 72, S4, 3, 167) | [i] | ||
| 51 | No OOA(4187, 72, S4, 3, 168) | [i] | ||
| 52 | No OOA(4188, 72, S4, 3, 169) | [i] | ||
| 53 | No OOA(4189, 72, S4, 3, 170) | [i] | ||
| 54 | No OOA(4190, 72, S4, 3, 171) | [i] | ||
| 55 | No OOA(4191, 72, S4, 3, 172) | [i] | ||
| 56 | No OOA(4192, 72, S4, 3, 173) | [i] | ||
| 57 | No OOA(4193, 72, S4, 3, 174) | [i] | ||
| 58 | No OOA(4194, 72, S4, 3, 175) | [i] | ||
| 59 | No OOA(4195, 72, S4, 3, 176) | [i] | ||
| 60 | No OOA(4196, 72, S4, 3, 177) | [i] | ||
| 61 | No OOA(4197, 72, S4, 3, 178) | [i] | ||
| 62 | No OOA(4198, 72, S4, 3, 179) | [i] | ||
| 63 | No OOA(4199, 72, S4, 3, 180) | [i] | ||
| 64 | No OOA(4200, 72, S4, 3, 181) | [i] | ||
| 65 | No OOA(4201, 72, S4, 3, 182) | [i] | ||
| 66 | No OOA(4202, 72, S4, 3, 183) | [i] | ||
| 67 | No OOA(4203, 72, S4, 3, 184) | [i] | ||
| 68 | No OOA(4204, 72, S4, 3, 185) | [i] | ||
| 69 | No OOA(4205, 72, S4, 3, 186) | [i] | ||
| 70 | No OOA(4140, 72, S4, 3, 121) | [i] | Depth Reduction | |
| 71 | No (19, 140, 72)-net in base 4 | [i] | Extracting Embedded OOA | |