Information on Result #60079
There is no OA(4109, 148, S4, 77), because the linear programming bound shows that M ≥ 93369 878733 386831 807951 664767 066779 195616 328505 480197 805811 746625 475920 186816 273170 627753 565380 149248 / 221551 214490 977896 234087 779488 628125 > 4109
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(4109, 148, S4, 2, 77) | [i] | Depth Reduction | |
| 2 | No OOA(4109, 148, S4, 3, 77) | [i] | ||
| 3 | No (32, 109, 148)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4110, 244, F4, 77) (dual of [244, 134, 78]-code) | [i] | Construction Y1 (Bound) | |