Information on Result #60411
There is no OA(542, 99, S5, 32), because the linear programming bound shows that M ≥ 18608 933192 159649 384649 918790 922320 127719 548415 025160 001805 016303 705997 415818 274021 148681 640625 / 78058 072972 993375 937472 094331 164311 095088 656382 770426 880418 148101 > 542
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 OOA(542, 99, S5, 2, 32) | [i] | Depth Reduction | |
| 2 | No OOA(542, 99, S5, 3, 32) | [i] | ||
| 3 | No (10, 42, 99)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |