Information on Result #59642
There is no OA(448, 118, S4, 33), because the linear programming bound shows that M ≥ 11741 391231 673162 520784 823169 575929 136281 422846 471752 288804 624247 186167 273881 600000 / 141904 351037 772816 847773 975434 784371 947508 137187 747933 > 448
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 OOA(448, 118, S4, 2, 33) | [i] | Depth Reduction | |
| 2 | No OOA(448, 118, S4, 3, 33) | [i] | ||
| 3 | No (15, 48, 118)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4180, 251, F4, 132) (dual of [251, 71, 133]-code) | [i] | Residual Code | |