Information on Result #599442
There is no digital (42, 146, 277)-net over F4, because extracting embedded orthogonal array would yield linear OA(4146, 277, F4, 104) (dual of [277, 131, 105]-code), but
- residual code [i] would yield OA(442, 172, S4, 26), but
- the linear programming bound shows that M ≥ 34 487674 602431 075505 978819 529968 455340 679044 792320 / 1 686703 652728 844301 656717 > 442 [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 (42, 147, 277)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (42, 148, 277)-net over F4 | [i] | ||
| 3 | No digital (42, 149, 277)-net over F4 | [i] | ||