Information on Result #57944
There is no OA(252, 88, S2, 24), because the linear programming bound shows that M ≥ 2 587715 521886 450011 810360 721408 / 536 605819 945767 > 252
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(253, 89, S2, 25) | [i] | Truncation | |
| 2 | No OOA(253, 88, S2, 2, 25) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(252, 88, S2, 2, 24) | [i] | Depth Reduction | |
| 4 | No OOA(252, 88, S2, 3, 24) | [i] | ||
| 5 | No OOA(252, 88, S2, 4, 24) | [i] | ||
| 6 | No OOA(252, 88, S2, 5, 24) | [i] | ||
| 7 | No OOA(252, 88, S2, 6, 24) | [i] | ||
| 8 | No OOA(252, 88, S2, 7, 24) | [i] | ||
| 9 | No OOA(252, 88, S2, 8, 24) | [i] | ||
| 10 | No (28, 52, 88)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | Linear OA(250, 79, F2, 18) (dual of [79, 29, 19]-code) | [i] | Construction Y1 | |