Information on Result #599672
There is no digital (70, 238, 454)-net over F4, because extracting embedded orthogonal array would yield linear OA(4238, 454, F4, 168) (dual of [454, 216, 169]-code), but
- residual code [i] would yield OA(470, 285, S4, 42), but
- the linear programming bound shows that M ≥ 2 520198 658998 621179 007148 715142 691743 667539 102383 827900 254205 426285 806015 463738 326023 123475 890176 / 1 791905 782922 287300 464200 415513 167226 158849 588749 853743 > 470 [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 (70, 239, 454)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (70, 240, 454)-net over F4 | [i] | ||
| 3 | No digital (70, 241, 454)-net over F4 | [i] | ||