Information on Result #59613
There is no OA(443, 84, S4, 31), because the linear programming bound shows that M ≥ 743 432824 923585 138466 079893 608385 692163 936496 473876 252564 706270 846821 427655 153621 009913 103585 162421 132960 451704 728431 099904 / 9 052373 288486 345160 206941 767894 606217 335850 613093 145925 916389 354432 331859 732314 014078 839167 611385 > 443
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(443, 84, S4, 2, 31) | [i] | Depth Reduction | |
| 2 | No OOA(443, 84, S4, 3, 31) | [i] | ||
| 3 | No (12, 43, 84)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4167, 209, F4, 124) (dual of [209, 42, 125]-code) | [i] | Residual Code | |