Information on Result #59250
There is no OA(3115, 148, S3, 72), because the linear programming bound shows that M ≥ 15138 532736 321222 240484 923894 686292 145850 190102 104613 028724 231594 313752 692357 / 1981 901463 555581 678825 > 3115
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(3115, 148, S3, 2, 72) | [i] | Depth Reduction | |
| 2 | No OOA(3115, 148, S3, 3, 72) | [i] | ||
| 3 | No OOA(3115, 148, S3, 4, 72) | [i] | ||
| 4 | No OOA(3115, 148, S3, 5, 72) | [i] | ||
| 5 | No (43, 115, 148)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3116, 197, F3, 72) (dual of [197, 81, 73]-code) | [i] | Construction Y1 (Bound) | |