Information on Result #5198
There is no OA(4167, 171, S4, 128), because the (dual) Plotkin bound shows that M ≥ 2 239744 742177 804210 557442 280568 444278 121645 497234 649534 899989 100963 791871 180160 945380 877493 271607 115776 / 43 > 4167
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(4168, 172, S4, 129) | [i] | Truncation | |
| 2 | No OA(4169, 173, S4, 130) | [i] | ||
| 3 | No OOA(4168, 171, S4, 2, 129) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(4169, 171, S4, 2, 130) | [i] | ||
| 5 | No OOA(4170, 171, S4, 2, 131) | [i] | ||
| 6 | No OOA(4171, 171, S4, 2, 132) | [i] | ||
| 7 | No OOA(4172, 171, S4, 2, 133) | [i] | ||
| 8 | No OOA(4173, 171, S4, 2, 134) | [i] | ||
| 9 | No OOA(4174, 171, S4, 2, 135) | [i] | ||
| 10 | No OOA(4175, 171, S4, 2, 136) | [i] | ||
| 11 | No OOA(4176, 171, S4, 2, 137) | [i] | ||
| 12 | No OOA(4177, 171, S4, 2, 138) | [i] | ||
| 13 | No OOA(4178, 171, S4, 2, 139) | [i] | ||
| 14 | No OOA(4179, 171, S4, 2, 140) | [i] | ||
| 15 | No OOA(4180, 171, S4, 2, 141) | [i] | ||
| 16 | No OOA(4181, 171, S4, 2, 142) | [i] | ||
| 17 | No OOA(4182, 171, S4, 2, 143) | [i] | ||
| 18 | No OOA(4183, 171, S4, 2, 144) | [i] | ||
| 19 | No OOA(4184, 171, S4, 2, 145) | [i] | ||
| 20 | No OOA(4185, 171, S4, 2, 146) | [i] | ||
| 21 | No OOA(4186, 171, S4, 2, 147) | [i] | ||
| 22 | No OOA(4187, 171, S4, 2, 148) | [i] | ||
| 23 | No OOA(4188, 171, S4, 2, 149) | [i] | ||
| 24 | No OOA(4189, 171, S4, 2, 150) | [i] | ||
| 25 | No OOA(4190, 171, S4, 2, 151) | [i] | ||
| 26 | No OOA(4191, 171, S4, 2, 152) | [i] | ||
| 27 | No OOA(4192, 171, S4, 2, 153) | [i] | ||
| 28 | No OOA(4193, 171, S4, 2, 154) | [i] | ||
| 29 | No OOA(4194, 171, S4, 2, 155) | [i] | ||
| 30 | No OOA(4195, 171, S4, 2, 156) | [i] | ||
| 31 | No OOA(4196, 171, S4, 2, 157) | [i] | ||
| 32 | No OOA(4197, 171, S4, 2, 158) | [i] | ||
| 33 | No OOA(4198, 171, S4, 2, 159) | [i] | ||
| 34 | No OOA(4199, 171, S4, 2, 160) | [i] | ||
| 35 | No OOA(4200, 171, S4, 2, 161) | [i] | ||
| 36 | No OOA(4201, 171, S4, 2, 162) | [i] | ||
| 37 | No OOA(4202, 171, S4, 2, 163) | [i] | ||
| 38 | No OOA(4203, 171, S4, 2, 164) | [i] | ||
| 39 | No OOA(4204, 171, S4, 2, 165) | [i] | ||
| 40 | No OOA(4205, 171, S4, 2, 166) | [i] | ||
| 41 | No OOA(4206, 171, S4, 2, 167) | [i] | ||
| 42 | No OOA(4207, 171, S4, 2, 168) | [i] | ||
| 43 | No OOA(4208, 171, S4, 2, 169) | [i] | ||
| 44 | No OOA(4209, 171, S4, 2, 170) | [i] | ||
| 45 | No OOA(4210, 171, S4, 2, 171) | [i] | ||
| 46 | No OOA(4211, 171, S4, 2, 172) | [i] | ||
| 47 | No OOA(4212, 171, S4, 2, 173) | [i] | ||
| 48 | No OOA(4213, 171, S4, 2, 174) | [i] | ||
| 49 | No OOA(4214, 171, S4, 2, 175) | [i] | ||
| 50 | No OOA(4215, 171, S4, 2, 176) | [i] | ||
| 51 | No OOA(4216, 171, S4, 2, 177) | [i] | ||
| 52 | No OOA(4217, 171, S4, 2, 178) | [i] | ||
| 53 | No OOA(4218, 171, S4, 2, 179) | [i] | ||
| 54 | No OOA(4219, 171, S4, 2, 180) | [i] | ||
| 55 | No OOA(4220, 171, S4, 2, 181) | [i] | ||
| 56 | No OOA(4221, 171, S4, 2, 182) | [i] | ||
| 57 | No OOA(4222, 171, S4, 2, 183) | [i] | ||
| 58 | No OOA(4223, 171, S4, 2, 184) | [i] | ||
| 59 | No OOA(4224, 171, S4, 2, 185) | [i] | ||
| 60 | No OOA(4225, 171, S4, 2, 186) | [i] | ||
| 61 | No OOA(4226, 171, S4, 2, 187) | [i] | ||
| 62 | No OOA(4227, 171, S4, 2, 188) | [i] | ||
| 63 | No OOA(4228, 171, S4, 2, 189) | [i] | ||
| 64 | No OOA(4229, 171, S4, 2, 190) | [i] | ||
| 65 | No OOA(4230, 171, S4, 2, 191) | [i] | ||
| 66 | No OOA(4231, 171, S4, 2, 192) | [i] | ||
| 67 | No OOA(4232, 171, S4, 2, 193) | [i] | ||
| 68 | No OOA(4233, 171, S4, 2, 194) | [i] | ||
| 69 | No OOA(4234, 171, S4, 2, 195) | [i] | ||
| 70 | No OOA(4235, 171, S4, 2, 196) | [i] | ||
| 71 | No OOA(4236, 171, S4, 2, 197) | [i] | ||
| 72 | No OOA(4237, 171, S4, 2, 198) | [i] | ||
| 73 | No OOA(4238, 171, S4, 2, 199) | [i] | ||
| 74 | No OOA(4239, 171, S4, 2, 200) | [i] | ||
| 75 | No OOA(4240, 171, S4, 2, 201) | [i] | ||
| 76 | No OOA(4241, 171, S4, 2, 202) | [i] | ||
| 77 | No OOA(4242, 171, S4, 2, 203) | [i] | ||
| 78 | No OOA(4243, 171, S4, 2, 204) | [i] | ||
| 79 | No OOA(4244, 171, S4, 2, 205) | [i] | ||
| 80 | No OOA(4245, 171, S4, 2, 206) | [i] | ||
| 81 | No OOA(4246, 171, S4, 2, 207) | [i] | ||
| 82 | No OOA(4247, 171, S4, 2, 208) | [i] | ||
| 83 | No OOA(4248, 171, S4, 2, 209) | [i] | ||
| 84 | No OOA(4249, 171, S4, 2, 210) | [i] | ||
| 85 | No OOA(4250, 171, S4, 2, 211) | [i] | ||
| 86 | No OOA(4251, 171, S4, 2, 212) | [i] | ||
| 87 | No OOA(4252, 171, S4, 2, 213) | [i] | ||
| 88 | No OOA(4253, 171, S4, 2, 214) | [i] | ||
| 89 | No OOA(4254, 171, S4, 2, 215) | [i] | ||
| 90 | No OOA(4255, 171, S4, 2, 216) | [i] | ||
| 91 | No OOA(4256, 171, S4, 2, 217) | [i] | ||
| 92 | No OOA(4257, 171, S4, 2, 218) | [i] | ||
| 93 | No OOA(4258, 171, S4, 2, 219) | [i] | ||
| 94 | No OOA(4259, 171, S4, 2, 220) | [i] | ||
| 95 | No OOA(4260, 171, S4, 2, 221) | [i] | ||
| 96 | No OOA(4167, 171, S4, 2, 128) | [i] | Depth Reduction | |
| 97 | No OOA(4167, 171, S4, 3, 128) | [i] | ||
| 98 | No (39, 167, 171)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |