Information on Result #59641
There is no OA(447, 104, S4, 33), because the linear programming bound shows that M ≥ 1174 046639 191630 223681 185273 503735 047219 518200 396804 079380 889257 898555 970298 959666 030187 642880 / 54879 229485 183725 296974 155563 481145 282045 055361 543282 990010 805653 > 447
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(447, 104, S4, 2, 33) | [i] | Depth Reduction | |
| 2 | No OOA(447, 104, S4, 3, 33) | [i] | ||
| 3 | No (14, 47, 104)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4179, 237, F4, 132) (dual of [237, 58, 133]-code) | [i] | Residual Code | |