Information on Result #599515
There is no digital (52, 204, 230)-net over F4, because extracting embedded orthogonal array would yield linear OA(4204, 230, F4, 152) (dual of [230, 26, 153]-code), but
- residual code [i] would yield OA(452, 77, S4, 38), but
- the linear programming bound shows that M ≥ 178964 168015 271617 653478 330356 832179 607270 588416 / 8492 957066 104875 > 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, 205, 230)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (52, 206, 230)-net over F4 | [i] | ||
| 3 | No digital (52, 207, 230)-net over F4 | [i] | ||