Information on Result #59627
There is no OA(446, 108, S4, 32), because the linear programming bound shows that M ≥ 7521 585930 885377 473826 532410 438434 365147 619053 743009 472248 914222 591788 142097 858560 000000 / 1 441569 793884 706534 073896 273915 521544 945772 995787 416063 963723 > 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, 108, S4, 2, 32) | [i] | Depth Reduction | |
| 2 | No OOA(446, 108, S4, 3, 32) | [i] | ||
| 3 | No (14, 46, 108)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4174, 237, F4, 128) (dual of [237, 63, 129]-code) | [i] | Residual Code | |