Information on Result #599524
There is no digital (54, 198, 293)-net over F4, because extracting embedded orthogonal array would yield linear OA(4198, 293, F4, 144) (dual of [293, 95, 145]-code), but
- residual code [i] would yield OA(454, 148, S4, 36), but
- the linear programming bound shows that M ≥ 360 104803 308131 437253 911585 010681 444562 627305 886362 911504 773250 289965 509640 192000 / 1 033080 609162 065310 926475 587063 900861 412950 368521 > 454 [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 (54, 199, 293)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (54, 200, 293)-net over F4 | [i] | ||
| 3 | No digital (54, 201, 293)-net over F4 | [i] | ||