Information on Result #59684
There is no OA(449, 72, S4, 36), because the linear programming bound shows that M ≥ 383712 868481 228941 339475 346716 547702 487685 005312 / 1 144084 399499 160119 > 449
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(449, 72, S4, 2, 36) | [i] | Depth Reduction | |
| 2 | No OOA(449, 72, S4, 3, 36) | [i] | ||
| 3 | No (13, 49, 72)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4193, 217, F4, 144) (dual of [217, 24, 145]-code) | [i] | Residual Code | |