Information on Result #58221
There is no OA(2116, 148, S2, 54), because the linear programming bound shows that M ≥ 67 089316 460630 621624 223128 238837 181334 945792 / 674 571975 > 2116
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(2117, 149, S2, 55) | [i] | Truncation | |
| 2 | No OOA(2117, 148, S2, 2, 55) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2116, 148, S2, 2, 54) | [i] | Depth Reduction | |
| 4 | No OOA(2116, 148, S2, 3, 54) | [i] | ||
| 5 | No OOA(2116, 148, S2, 4, 54) | [i] | ||
| 6 | No OOA(2116, 148, S2, 5, 54) | [i] | ||
| 7 | No OOA(2116, 148, S2, 6, 54) | [i] | ||
| 8 | No OOA(2116, 148, S2, 7, 54) | [i] | ||
| 9 | No OOA(2116, 148, S2, 8, 54) | [i] | ||
| 10 | No (62, 116, 148)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2117, 168, F2, 54) (dual of [168, 51, 55]-code) | [i] | Construction Y1 (Bound) | |