Information on Result #61264
There is no OA(758, 94, S7, 49), because the linear programming bound shows that M ≥ 10580 743749 861231 293497 451788 690805 914704 925957 518061 849209 488293 043893 822152 954067 592535 777967 / 972 197243 784671 062972 315640 073851 274697 000575 > 758
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(758, 94, S7, 2, 49) | [i] | Depth Reduction | |
| 2 | No OOA(758, 94, S7, 3, 49) | [i] | ||
| 3 | No (9, 58, 94)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(736, 94, F7, 30) (dual of [94, 58, 31]-code) | [i] | Construction Y1 (Bound) | |