Information on Result #5223
There is no OA(4203, 207, S4, 155), because the (dual) Plotkin bound shows that M ≥ 2644 223875 160994 395807 661232 131084 159313 618731 857124 877138 595181 097623 164945 245383 300756 841758 861139 390364 848100 093433 217024 / 13 > 4203
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(4204, 208, S4, 156) | [i] | Truncation | |
| 2 | No OA(4205, 209, S4, 157) | [i] | ||
| 3 | No OA(4206, 210, S4, 158) | [i] | ||
| 4 | No OA(4207, 211, S4, 159) | [i] | ||
| 5 | No OOA(4204, 207, S4, 2, 156) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(4205, 207, S4, 2, 157) | [i] | ||
| 7 | No OOA(4206, 207, S4, 2, 158) | [i] | ||
| 8 | No OOA(4207, 207, S4, 2, 159) | [i] | ||
| 9 | No OOA(4208, 207, S4, 2, 160) | [i] | ||
| 10 | No OOA(4209, 207, S4, 2, 161) | [i] | ||
| 11 | No OOA(4210, 207, S4, 2, 162) | [i] | ||
| 12 | No OOA(4211, 207, S4, 2, 163) | [i] | ||
| 13 | No OOA(4212, 207, S4, 2, 164) | [i] | ||
| 14 | No OOA(4213, 207, S4, 2, 165) | [i] | ||
| 15 | No OOA(4214, 207, S4, 2, 166) | [i] | ||
| 16 | No OOA(4215, 207, S4, 2, 167) | [i] | ||
| 17 | No OOA(4216, 207, S4, 2, 168) | [i] | ||
| 18 | No OOA(4217, 207, S4, 2, 169) | [i] | ||
| 19 | No OOA(4218, 207, S4, 2, 170) | [i] | ||
| 20 | No OOA(4219, 207, S4, 2, 171) | [i] | ||
| 21 | No OOA(4220, 207, S4, 2, 172) | [i] | ||
| 22 | No OOA(4221, 207, S4, 2, 173) | [i] | ||
| 23 | No OOA(4222, 207, S4, 2, 174) | [i] | ||
| 24 | No OOA(4223, 207, S4, 2, 175) | [i] | ||
| 25 | No OOA(4224, 207, S4, 2, 176) | [i] | ||
| 26 | No OOA(4225, 207, S4, 2, 177) | [i] | ||
| 27 | No OOA(4226, 207, S4, 2, 178) | [i] | ||
| 28 | No OOA(4227, 207, S4, 2, 179) | [i] | ||
| 29 | No OOA(4228, 207, S4, 2, 180) | [i] | ||
| 30 | No OOA(4229, 207, S4, 2, 181) | [i] | ||
| 31 | No OOA(4230, 207, S4, 2, 182) | [i] | ||
| 32 | No OOA(4231, 207, S4, 2, 183) | [i] | ||
| 33 | No OOA(4232, 207, S4, 2, 184) | [i] | ||
| 34 | No OOA(4233, 207, S4, 2, 185) | [i] | ||
| 35 | No OOA(4234, 207, S4, 2, 186) | [i] | ||
| 36 | No OOA(4235, 207, S4, 2, 187) | [i] | ||
| 37 | No OOA(4236, 207, S4, 2, 188) | [i] | ||
| 38 | No OOA(4237, 207, S4, 2, 189) | [i] | ||
| 39 | No OOA(4238, 207, S4, 2, 190) | [i] | ||
| 40 | No OOA(4239, 207, S4, 2, 191) | [i] | ||
| 41 | No OOA(4240, 207, S4, 2, 192) | [i] | ||
| 42 | No OOA(4241, 207, S4, 2, 193) | [i] | ||
| 43 | No OOA(4242, 207, S4, 2, 194) | [i] | ||
| 44 | No OOA(4243, 207, S4, 2, 195) | [i] | ||
| 45 | No OOA(4244, 207, S4, 2, 196) | [i] | ||
| 46 | No OOA(4245, 207, S4, 2, 197) | [i] | ||
| 47 | No OOA(4246, 207, S4, 2, 198) | [i] | ||
| 48 | No OOA(4247, 207, S4, 2, 199) | [i] | ||
| 49 | No OOA(4248, 207, S4, 2, 200) | [i] | ||
| 50 | No OOA(4249, 207, S4, 2, 201) | [i] | ||
| 51 | No OOA(4250, 207, S4, 2, 202) | [i] | ||
| 52 | No OOA(4251, 207, S4, 2, 203) | [i] | ||
| 53 | No OOA(4252, 207, S4, 2, 204) | [i] | ||
| 54 | No OOA(4253, 207, S4, 2, 205) | [i] | ||
| 55 | No OOA(4254, 207, S4, 2, 206) | [i] | ||
| 56 | No OOA(4255, 207, S4, 2, 207) | [i] | ||
| 57 | No OOA(4256, 207, S4, 2, 208) | [i] | ||
| 58 | No OOA(4257, 207, S4, 2, 209) | [i] | ||
| 59 | No OOA(4258, 207, S4, 2, 210) | [i] | ||
| 60 | No OOA(4259, 207, S4, 2, 211) | [i] | ||
| 61 | No OOA(4260, 207, S4, 2, 212) | [i] | ||
| 62 | No OOA(4203, 207, S4, 2, 155) | [i] | Depth Reduction | |
| 63 | No OOA(4203, 207, S4, 3, 155) | [i] | ||
| 64 | No (48, 203, 207)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |