Information on Result #599639
There is no digital (65, 257, 273)-net over F4, because extracting embedded orthogonal array would yield linear OA(4257, 273, F4, 192) (dual of [273, 16, 193]-code), but
- residual code [i] would yield OA(465, 80, S4, 48), but
- the linear programming bound shows that M ≥ 11 748891 149276 075699 951965 511184 653803 268463 394816 / 8602 297165 > 465 [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 (65, 258, 273)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (65, 259, 273)-net over F4 | [i] | ||
| 3 | No digital (65, 260, 273)-net over F4 | [i] | ||