Information on Result #59688
There is no OA(453, 134, S4, 36), because the linear programming bound shows that M ≥ 13977 135218 163528 704731 898937 416611 213183 957686 665072 733824 249885 272036 744364 032000 / 160 460837 511194 840278 088549 800082 466977 532904 587207 > 453
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(453, 134, S4, 2, 36) | [i] | Depth Reduction | |
| 2 | No OOA(453, 134, S4, 3, 36) | [i] | ||
| 3 | No (17, 53, 134)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4197, 279, F4, 144) (dual of [279, 82, 145]-code) | [i] | Residual Code | |