Information on Result #599482
There is no digital (47, 183, 220)-net over F4, because extracting embedded orthogonal array would yield linear OA(4183, 220, F4, 136) (dual of [220, 37, 137]-code), but
- residual code [i] would yield OA(447, 83, S4, 34), but
- the linear programming bound shows that M ≥ 52 720571 155598 864034 786269 073952 563615 274024 793807 425195 470485 757374 758912 / 2526 264626 215124 582307 285701 642932 544212 018125 > 447 [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 (47, 184, 220)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (47, 185, 220)-net over F4 | [i] | ||