Information on Result #58591
There is no OA(330, 51, S3, 20), because the linear programming bound shows that M ≥ 2 907201 254143 171726 717132 854591 / 13662 469385 049199 > 330
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(330, 51, S3, 2, 20) | [i] | Depth Reduction | |
| 2 | No OOA(330, 51, S3, 3, 20) | [i] | ||
| 3 | No OOA(330, 51, S3, 4, 20) | [i] | ||
| 4 | No OOA(330, 51, S3, 5, 20) | [i] | ||
| 5 | No (10, 30, 51)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | Linear OA(327, 38, F3, 15) (dual of [38, 11, 16]-code) | [i] | Construction Y1 | |
| 7 | Linear OA(328, 39, F3, 16) (dual of [39, 11, 17]-code) | [i] | ||
| 8 | Linear OA(329, 40, F3, 17) (dual of [40, 11, 18]-code) | [i] | ||