Information on Result #60101
There is no OA(4112, 132, S4, 81), because the linear programming bound shows that M ≥ 11778 504777 779688 498524 359999 043750 103927 634385 012592 570847 246118 930944 386301 689856 / 405 533359 108881 > 4112
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(4113, 133, S4, 82) | [i] | Truncation | |
| 2 | No OOA(4113, 132, S4, 2, 82) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(4112, 132, S4, 2, 81) | [i] | Depth Reduction | |
| 4 | No OOA(4112, 132, S4, 3, 81) | [i] | ||
| 5 | No (31, 112, 132)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |