Information on Result #59124
There is no OA(396, 144, S3, 59), because the linear programming bound shows that M ≥ 2236 401438 247250 718182 900374 183456 399210 453427 110900 255699 874712 354347 141530 819695 / 326304 173287 366006 276464 537104 634223 > 396
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(396, 144, S3, 2, 59) | [i] | Depth Reduction | |
| 2 | No OOA(396, 144, S3, 3, 59) | [i] | ||
| 3 | No OOA(396, 144, S3, 4, 59) | [i] | ||
| 4 | No OOA(396, 144, S3, 5, 59) | [i] | ||
| 5 | No (37, 96, 144)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(397, 225, F3, 59) (dual of [225, 128, 60]-code) | [i] | Construction Y1 (Bound) | |
| 7 | No linear OA(397, 224, F3, 59) (dual of [224, 127, 60]-code) | [i] | ||