Information on Result #60793
There is no OA(599, 147, S5, 75), because the linear programming bound shows that M ≥ 10 465163 072971 841494 226679 044239 098519 996159 375872 949750 717770 995481 826038 130942 490580 153891 865933 246663 189493 119716 644287 109375 / 6623 020670 394833 160024 516013 529216 797975 034523 571498 254336 > 599
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(599, 147, S5, 2, 75) | [i] | Depth Reduction | |
| 2 | No OOA(599, 147, S5, 3, 75) | [i] | ||
| 3 | No (24, 99, 147)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(5140, 239, F5, 109) (dual of [239, 99, 110]-code) | [i] | Construction Y1 (Bound) | |