Information on Result #59674
There is no OA(452, 138, S4, 35), because the linear programming bound shows that M ≥ 14 564003 487067 138043 331719 274369 344824 206731 992337 689402 817088 211676 748054 528000 / 703008 083798 117523 214095 285089 936359 793876 700683 > 452
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(452, 138, S4, 2, 35) | [i] | Depth Reduction | |
| 2 | No OOA(452, 138, S4, 3, 35) | [i] | ||
| 3 | No (17, 52, 138)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4192, 279, F4, 140) (dual of [279, 87, 141]-code) | [i] | Residual Code | |