Information on Result #58453
There is no OA(2224, 253, S2, 106), because the linear programming bound shows that M ≥ 5 222077 869683 849196 255349 775472 511572 660232 416594 770146 536453 382899 214399 307776 / 189875 648367 > 2224
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(2225, 254, S2, 107) | [i] | Truncation | |
| 2 | No OOA(2225, 253, S2, 2, 107) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2224, 253, S2, 2, 106) | [i] | Depth Reduction | |
| 4 | No OOA(2224, 253, S2, 3, 106) | [i] | ||
| 5 | No OOA(2224, 253, S2, 4, 106) | [i] | ||
| 6 | No OOA(2224, 253, S2, 5, 106) | [i] | ||
| 7 | No OOA(2224, 253, S2, 6, 106) | [i] | ||
| 8 | No OOA(2224, 253, S2, 7, 106) | [i] | ||
| 9 | No OOA(2224, 253, S2, 8, 106) | [i] | ||
| 10 | No (118, 224, 253)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | Linear OA(231, 150, F2, 8) (dual of [150, 119, 9]-code) | [i] | Construction Y1 | |