Information on Result #59886
There is no OA(472, 116, S4, 51), because the linear programming bound shows that M ≥ 10188 107061 418334 440590 089803 281735 251458 760523 288912 636635 545187 112356 798015 053544 554496 / 445 994962 135541 633265 915937 778940 613693 671225 > 472
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(472, 116, S4, 2, 51) | [i] | Depth Reduction | |
| 2 | No OOA(472, 116, S4, 3, 51) | [i] | ||
| 3 | No (21, 72, 116)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |