Information on Result #59614
There is no OA(444, 98, S4, 31), because the linear programming bound shows that M ≥ 3414 029206 960280 274418 067767 340182 249392 781167 507062 000069 867201 406582 128640 000000 / 10 918790 901850 294268 885174 154273 677983 317839 404573 351291 > 444
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(444, 98, S4, 2, 31) | [i] | Depth Reduction | |
| 2 | No OOA(444, 98, S4, 3, 31) | [i] | ||
| 3 | No (13, 44, 98)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4168, 223, F4, 124) (dual of [223, 55, 125]-code) | [i] | Residual Code | |