Information on Result #58109
There is no OA(289, 137, S2, 40), because the linear programming bound shows that M ≥ 94 055793 389946 937848 891499 500557 263777 562624 / 137978 313328 366875 > 289
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 OA(290, 138, S2, 41) | [i] | Truncation | |
| 2 | No OOA(290, 137, S2, 2, 41) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(289, 137, S2, 2, 40) | [i] | Depth Reduction | |
| 4 | No OOA(289, 137, S2, 3, 40) | [i] | ||
| 5 | No OOA(289, 137, S2, 4, 40) | [i] | ||
| 6 | No OOA(289, 137, S2, 5, 40) | [i] | ||
| 7 | No OOA(289, 137, S2, 6, 40) | [i] | ||
| 8 | No OOA(289, 137, S2, 7, 40) | [i] | ||
| 9 | No OOA(289, 137, S2, 8, 40) | [i] | ||
| 10 | No (49, 89, 137)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2169, 218, F2, 80) (dual of [218, 49, 81]-code) | [i] | Residual Code | |