Information on Result #58175
There is no OA(2105, 145, S2, 48), because the linear programming bound shows that M ≥ 727 070369 678229 731686 401086 929362 121333 407744 / 17 521374 765895 > 2105
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(2106, 146, S2, 49) | [i] | Truncation | |
| 2 | No OOA(2106, 145, S2, 2, 49) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2105, 145, S2, 2, 48) | [i] | Depth Reduction | |
| 4 | No OOA(2105, 145, S2, 3, 48) | [i] | ||
| 5 | No OOA(2105, 145, S2, 4, 48) | [i] | ||
| 6 | No OOA(2105, 145, S2, 5, 48) | [i] | ||
| 7 | No OOA(2105, 145, S2, 6, 48) | [i] | ||
| 8 | No OOA(2105, 145, S2, 7, 48) | [i] | ||
| 9 | No OOA(2105, 145, S2, 8, 48) | [i] | ||
| 10 | No (57, 105, 145)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2201, 242, F2, 96) (dual of [242, 41, 97]-code) | [i] | Residual Code | |
| 12 | No linear OA(2106, 171, F2, 48) (dual of [171, 65, 49]-code) | [i] | Construction Y1 (Bound) | |