Information on Result #599651
There is no digital (67, 235, 399)-net over F4, because extracting embedded orthogonal array would yield linear OA(4235, 399, F4, 168) (dual of [399, 164, 169]-code), but
- residual code [i] would yield OA(467, 230, S4, 42), but
- the linear programming bound shows that M ≥ 133 864877 868223 848277 340960 330245 263082 378026 507294 938785 509330 612908 753764 170596 352000 / 6063 223087 091274 607869 862566 805531 022255 644183 > 467 [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 (67, 236, 399)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (67, 237, 399)-net over F4 | [i] | ||
| 3 | No digital (67, 238, 399)-net over F4 | [i] | ||