Information on Result #599649
There is no digital (67, 227, 447)-net over F4, because extracting embedded orthogonal array would yield linear OA(4227, 447, F4, 160) (dual of [447, 220, 161]-code), but
- residual code [i] would yield OA(467, 286, S4, 40), but
- the linear programming bound shows that M ≥ 2248 462530 540235 331681 045610 925265 548739 257567 179323 047117 943462 838604 815338 045440 000000 / 99794 086939 136362 792787 734261 406363 880711 755149 > 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, 228, 447)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (67, 229, 447)-net over F4 | [i] | ||
| 3 | No digital (67, 230, 447)-net over F4 | [i] | ||