Information on Result #58978
There is no OA(369, 87, S3, 45), because the linear programming bound shows that M ≥ 60 677445 989371 388018 255266 871453 026648 079313 / 55230 725056 > 369
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(369, 87, S3, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(369, 87, S3, 3, 45) | [i] | ||
| 3 | No OOA(369, 87, S3, 4, 45) | [i] | ||
| 4 | No OOA(369, 87, S3, 5, 45) | [i] | ||
| 5 | No (24, 69, 87)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3204, 223, F3, 135) (dual of [223, 19, 136]-code) | [i] | Residual Code | |