Information on Result #599487
There is no digital (48, 176, 267)-net over F4, because extracting embedded orthogonal array would yield linear OA(4176, 267, F4, 128) (dual of [267, 91, 129]-code), but
- residual code [i] would yield OA(448, 138, S4, 32), but
- the linear programming bound shows that M ≥ 66 834632 642318 684659 575040 827070 115251 275709 474027 151032 320000 / 782 095011 582929 715533 211425 908253 > 448 [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 (48, 177, 267)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (48, 178, 267)-net over F4 | [i] | ||
| 3 | No digital (48, 179, 267)-net over F4 | [i] | ||