Information on Result #599565
There is no digital (58, 226, 257)-net over F4, because extracting embedded orthogonal array would yield linear OA(4226, 257, F4, 168) (dual of [257, 31, 169]-code), but
- residual code [i] would yield OA(458, 88, S4, 42), but
- the linear programming bound shows that M ≥ 158 237175 107336 529531 271038 987459 138072 539269 830656 314178 535424 / 1500 577564 280935 407980 323611 > 458 [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 (58, 227, 257)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (58, 228, 257)-net over F4 | [i] | ||
| 3 | No digital (58, 229, 257)-net over F4 | [i] | ||