Information on Result #59640
There is no OA(446, 89, S4, 33), because the linear programming bound shows that M ≥ 159948 754090 845526 538000 065296 234178 559990 299122 417191 613523 054637 510362 523087 608926 611865 440230 434765 845983 597818 865036 995130 058350 788608 / 31 655830 017094 855639 908154 532004 566126 868766 376087 543277 919844 313859 261385 645064 532693 335140 575232 262538 565325 > 446
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(446, 89, S4, 2, 33) | [i] | Depth Reduction | |
| 2 | No OOA(446, 89, S4, 3, 33) | [i] | ||
| 3 | No (13, 46, 89)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4178, 222, F4, 132) (dual of [222, 44, 133]-code) | [i] | Residual Code | |