Information on Result #599511
There is no digital (52, 188, 295)-net over F4, because extracting embedded orthogonal array would yield linear OA(4188, 295, F4, 136) (dual of [295, 107, 137]-code), but
- residual code [i] would yield OA(452, 158, S4, 34), but
- the linear programming bound shows that M ≥ 469 172424 648636 045767 766815 849214 505759 765861 829911 248896 000000 / 22 532998 783661 073340 993241 522503 > 452 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (52, 189, 295)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (52, 190, 295)-net over F4 | [i] | ||
| 3 | No digital (52, 191, 295)-net over F4 | [i] | ||