Information on Result #58227
There is no OA(2111, 122, S2, 56), because the linear programming bound shows that M ≥ 53 252196 581133 192158 208770 352481 304576 / 17255 > 2111
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(2112, 123, S2, 57) | [i] | Truncation | |
| 2 | No OOA(2112, 122, S2, 2, 57) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2113, 122, S2, 2, 58) | [i] | ||
| 4 | No OOA(2114, 122, S2, 2, 59) | [i] | ||
| 5 | No OOA(2111, 122, S2, 2, 56) | [i] | Depth Reduction | |
| 6 | No OOA(2111, 122, S2, 3, 56) | [i] | ||
| 7 | No OOA(2111, 122, S2, 4, 56) | [i] | ||
| 8 | No OOA(2111, 122, S2, 5, 56) | [i] | ||
| 9 | No OOA(2111, 122, S2, 6, 56) | [i] | ||
| 10 | No OOA(2111, 122, S2, 7, 56) | [i] | ||
| 11 | No OOA(2111, 122, S2, 8, 56) | [i] | ||
| 12 | No (55, 111, 122)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 13 | No linear OA(2223, 235, F2, 112) (dual of [235, 12, 113]-code) | [i] | Residual Code | |