Information on Result #599471
There is no digital (46, 170, 253)-net over F4, because extracting embedded orthogonal array would yield linear OA(4170, 253, F4, 124) (dual of [253, 83, 125]-code), but
- residual code [i] would yield OA(446, 128, S4, 31), but
- the linear programming bound shows that M ≥ 267 358960 125089 320834 735810 320865 223199 249308 916618 499694 277322 342400 / 51948 589430 472776 062424 380928 571484 419011 > 446 [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 (46, 171, 253)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (46, 172, 253)-net over F4 | [i] | ||
| 3 | No digital (46, 173, 253)-net over F4 | [i] | ||