Information on Result #59930
There is no OA(477, 90, S4, 57), because the linear programming bound shows that M ≥ 812 594910 355982 022521 248766 990253 358928 698493 894656 / 29029 > 477
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(478, 91, S4, 58) | [i] | Truncation | |
| 2 | No OOA(478, 90, S4, 2, 58) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(477, 90, S4, 2, 57) | [i] | Depth Reduction | |
| 4 | No OOA(477, 90, S4, 3, 57) | [i] | ||
| 5 | No (20, 77, 90)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |