Information on Result #58110
There is no OA(290, 143, S2, 40), because the linear programming bound shows that M ≥ 317300 634780 115553 893444 812307 057689 267816 890368 / 255 074823 257151 213225 > 290
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(291, 144, S2, 41) | [i] | Truncation | |
2 | No OOA(291, 143, S2, 2, 41) | [i] | m-Reduction for OOAs | |
3 | No OOA(290, 143, S2, 2, 40) | [i] | Depth Reduction | |
4 | No OOA(290, 143, S2, 3, 40) | [i] | ||
5 | No OOA(290, 143, S2, 4, 40) | [i] | ||
6 | No OOA(290, 143, S2, 5, 40) | [i] | ||
7 | No OOA(290, 143, S2, 6, 40) | [i] | ||
8 | No OOA(290, 143, S2, 7, 40) | [i] | ||
9 | No OOA(290, 143, S2, 8, 40) | [i] | ||
10 | No (50, 90, 143)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
11 | No linear OA(2170, 224, F2, 80) (dual of [224, 54, 81]-code) | [i] | Residual Code |