Information on Result #58805
There is no OA(354, 77, S3, 35), because the linear programming bound shows that M ≥ 49772 879413 668128 111108 466099 084271 883739 / 760 672693 173302 > 354
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(354, 77, S3, 2, 35) | [i] | Depth Reduction | |
| 2 | No OOA(354, 77, S3, 3, 35) | [i] | ||
| 3 | No OOA(354, 77, S3, 4, 35) | [i] | ||
| 4 | No OOA(354, 77, S3, 5, 35) | [i] | ||
| 5 | No (19, 54, 77)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3159, 183, F3, 105) (dual of [183, 24, 106]-code) | [i] | Residual Code | |