Information on Result #599541
There is no digital (56, 200, 324)-net over F4, because extracting embedded orthogonal array would yield linear OA(4200, 324, F4, 144) (dual of [324, 124, 145]-code), but
- residual code [i] would yield OA(456, 179, S4, 36), but
- the linear programming bound shows that M ≥ 31 511442 125419 258293 449040 901884 044621 696169 017943 480590 506370 111897 600000 / 5839 126320 766662 475522 447173 784673 305301 > 456 [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 (56, 201, 324)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (56, 202, 324)-net over F4 | [i] | ||
| 3 | No digital (56, 203, 324)-net over F4 | [i] | ||