Information on Result #58261
There is no OA(2125, 147, S2, 60), because the linear programming bound shows that M ≥ 4975 875550 493628 228516 818795 559541 294187 413504 / 103 046325 > 2125
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(2126, 148, S2, 61) | [i] | Truncation | |
| 2 | No OOA(2126, 147, S2, 2, 61) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2125, 147, S2, 2, 60) | [i] | Depth Reduction | |
| 4 | No OOA(2125, 147, S2, 3, 60) | [i] | ||
| 5 | No OOA(2125, 147, S2, 4, 60) | [i] | ||
| 6 | No OOA(2125, 147, S2, 5, 60) | [i] | ||
| 7 | No OOA(2125, 147, S2, 6, 60) | [i] | ||
| 8 | No OOA(2125, 147, S2, 7, 60) | [i] | ||
| 9 | No OOA(2125, 147, S2, 8, 60) | [i] | ||
| 10 | No (65, 125, 147)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2245, 268, F2, 120) (dual of [268, 23, 121]-code) | [i] | Residual Code | |