Information on Result #599575
There is no digital (59, 231, 255)-net over F4, because extracting embedded orthogonal array would yield linear OA(4231, 255, F4, 172) (dual of [255, 24, 173]-code), but
- residual code [i] would yield OA(459, 82, S4, 43), but
- the linear programming bound shows that M ≥ 113 303848 813251 769790 373484 570498 790503 594690 871296 / 335 930280 888125 > 459 [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 (59, 232, 255)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (59, 233, 255)-net over F4 | [i] | ||
| 3 | No digital (59, 234, 255)-net over F4 | [i] | ||