Information on Result #59657
There is no OA(448, 100, S4, 34), because the linear programming bound shows that M ≥ 9058 957890 512598 877597 243353 229194 029550 244654 789588 151723 066658 722038 162924 682285 684121 927080 009184 894902 538211 707610 394949 320704 / 112877 238751 180015 015346 131872 600873 922049 184597 216985 800847 416342 964009 902792 675071 874309 392551 306831 > 448
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(448, 100, S4, 2, 34) | [i] | Depth Reduction | |
| 2 | No OOA(448, 100, S4, 3, 34) | [i] | ||
| 3 | No (14, 48, 100)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4184, 237, F4, 136) (dual of [237, 53, 137]-code) | [i] | Residual Code | |