Information on Result #58721
There is no OA(348, 92, S3, 30), because the linear programming bound shows that M ≥ 155 048411 553818 226984 162442 805466 373690 213914 286977 371705 202589 167499 618075 777887 490030 565740 317397 764959 550584 283305 143182 198684 333887 858697 429357 / 1910 711961 142437 205632 506964 219549 741634 425447 199116 992722 054136 110889 532920 784510 794697 061627 361802 892124 313524 414123 148275 > 348
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(348, 92, S3, 2, 30) | [i] | Depth Reduction | |
| 2 | No OOA(348, 92, S3, 3, 30) | [i] | ||
| 3 | No OOA(348, 92, S3, 4, 30) | [i] | ||
| 4 | No OOA(348, 92, S3, 5, 30) | [i] | ||
| 5 | No (18, 48, 92)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3138, 183, F3, 90) (dual of [183, 45, 91]-code) | [i] | Residual Code | |