Information on Result #59741
There is no OA(454, 69, S4, 40), because the linear programming bound shows that M ≥ 306881 525842 855097 409047 743621 043712 950272 / 900 057379 > 454
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(455, 70, S4, 41) | [i] | Truncation | |
| 2 | No OOA(455, 69, S4, 2, 41) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(454, 69, S4, 2, 40) | [i] | Depth Reduction | |
| 4 | No OOA(454, 69, S4, 3, 40) | [i] | ||
| 5 | No (14, 54, 69)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(4214, 230, F4, 160) (dual of [230, 16, 161]-code) | [i] | Residual Code | |