Information on Result #59144
There is no OA(399, 144, S3, 61), because the linear programming bound shows that M ≥ 60 189618 041602 458131 986507 057345 753786 899077 743068 445639 623337 673681 707308 116463 / 349 450505 963100 537827 386474 609375 > 399
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(399, 144, S3, 2, 61) | [i] | Depth Reduction | |
| 2 | No OOA(399, 144, S3, 3, 61) | [i] | ||
| 3 | No OOA(399, 144, S3, 4, 61) | [i] | ||
| 4 | No OOA(399, 144, S3, 5, 61) | [i] | ||
| 5 | No (38, 99, 144)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3100, 218, F3, 61) (dual of [218, 118, 62]-code) | [i] | Construction Y1 (Bound) | |
| 7 | No linear OA(3100, 216, F3, 61) (dual of [216, 116, 62]-code) | [i] | ||