Information on Result #60285
There is no OA(523, 41, S5, 19), because the linear programming bound shows that M ≥ 1431 381081 044673 919677 734375 / 117616 346784 > 523
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(523, 41, S5, 2, 19) | [i] | Depth Reduction | |
| 2 | No OOA(523, 41, S5, 3, 19) | [i] | ||
| 3 | No (4, 23, 41)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(519, 42, F5, 15) (dual of [42, 23, 16]-code) | [i] | Construction Y1 (Bound) | |