Information on Result #5234
There is no OA(4219, 223, S4, 167), because the (dual) Plotkin bound shows that M ≥ 5 678427 533559 428832 416592 249125 035424 637823 130369 672345 949142 181098 744438 385921 275985 867583 701277 855943 457200 048954 515105 739075 223552 / 7 > 4219
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(4220, 224, S4, 168) | [i] | Truncation | |
| 2 | No OA(4221, 225, S4, 169) | [i] | ||
| 3 | No OA(4222, 226, S4, 170) | [i] | ||
| 4 | No OA(4223, 227, S4, 171) | [i] | ||
| 5 | No OOA(4220, 223, S4, 2, 168) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(4221, 223, S4, 2, 169) | [i] | ||
| 7 | No OOA(4222, 223, S4, 2, 170) | [i] | ||
| 8 | No OOA(4223, 223, S4, 2, 171) | [i] | ||
| 9 | No OOA(4224, 223, S4, 2, 172) | [i] | ||
| 10 | No OOA(4225, 223, S4, 2, 173) | [i] | ||
| 11 | No OOA(4226, 223, S4, 2, 174) | [i] | ||
| 12 | No OOA(4227, 223, S4, 2, 175) | [i] | ||
| 13 | No OOA(4228, 223, S4, 2, 176) | [i] | ||
| 14 | No OOA(4229, 223, S4, 2, 177) | [i] | ||
| 15 | No OOA(4230, 223, S4, 2, 178) | [i] | ||
| 16 | No OOA(4231, 223, S4, 2, 179) | [i] | ||
| 17 | No OOA(4232, 223, S4, 2, 180) | [i] | ||
| 18 | No OOA(4233, 223, S4, 2, 181) | [i] | ||
| 19 | No OOA(4234, 223, S4, 2, 182) | [i] | ||
| 20 | No OOA(4235, 223, S4, 2, 183) | [i] | ||
| 21 | No OOA(4236, 223, S4, 2, 184) | [i] | ||
| 22 | No OOA(4237, 223, S4, 2, 185) | [i] | ||
| 23 | No OOA(4238, 223, S4, 2, 186) | [i] | ||
| 24 | No OOA(4239, 223, S4, 2, 187) | [i] | ||
| 25 | No OOA(4240, 223, S4, 2, 188) | [i] | ||
| 26 | No OOA(4241, 223, S4, 2, 189) | [i] | ||
| 27 | No OOA(4242, 223, S4, 2, 190) | [i] | ||
| 28 | No OOA(4243, 223, S4, 2, 191) | [i] | ||
| 29 | No OOA(4244, 223, S4, 2, 192) | [i] | ||
| 30 | No OOA(4245, 223, S4, 2, 193) | [i] | ||
| 31 | No OOA(4246, 223, S4, 2, 194) | [i] | ||
| 32 | No OOA(4247, 223, S4, 2, 195) | [i] | ||
| 33 | No OOA(4248, 223, S4, 2, 196) | [i] | ||
| 34 | No OOA(4249, 223, S4, 2, 197) | [i] | ||
| 35 | No OOA(4250, 223, S4, 2, 198) | [i] | ||
| 36 | No OOA(4251, 223, S4, 2, 199) | [i] | ||
| 37 | No OOA(4252, 223, S4, 2, 200) | [i] | ||
| 38 | No OOA(4253, 223, S4, 2, 201) | [i] | ||
| 39 | No OOA(4254, 223, S4, 2, 202) | [i] | ||
| 40 | No OOA(4255, 223, S4, 2, 203) | [i] | ||
| 41 | No OOA(4256, 223, S4, 2, 204) | [i] | ||
| 42 | No OOA(4257, 223, S4, 2, 205) | [i] | ||
| 43 | No OOA(4258, 223, S4, 2, 206) | [i] | ||
| 44 | No OOA(4259, 223, S4, 2, 207) | [i] | ||
| 45 | No OOA(4260, 223, S4, 2, 208) | [i] | ||
| 46 | No OOA(4219, 223, S4, 2, 167) | [i] | Depth Reduction | |
| 47 | No OOA(4219, 223, S4, 3, 167) | [i] | ||
| 48 | No (52, 219, 223)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |