Information on Result #599428
There is no digital (40, 140, 265)-net over F4, because extracting embedded orthogonal array would yield linear OA(4140, 265, F4, 100) (dual of [265, 125, 101]-code), but
- residual code [i] would yield OA(440, 164, S4, 25), but
- the linear programming bound shows that M ≥ 14 570521 423098 291305 264511 747942 665498 471933 411328 / 11 371893 759058 304198 150255 > 440 [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 (40, 141, 265)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (40, 142, 265)-net over F4 | [i] | ||
| 3 | No digital (40, 143, 265)-net over F4 | [i] | ||