Information on Result #599559
There is no digital (58, 202, 358)-net over F4, because extracting embedded orthogonal array would yield linear OA(4202, 358, F4, 144) (dual of [358, 156, 145]-code), but
- residual code [i] would yield OA(458, 213, S4, 36), but
- the linear programming bound shows that M ≥ 7 866958 687285 876635 384332 274577 437607 350342 946368 588838 836611 539357 984012 369920 / 88 856238 935032 449112 554626 779870 493844 853867 > 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, 203, 358)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (58, 204, 358)-net over F4 | [i] | ||
| 3 | No digital (58, 205, 358)-net over F4 | [i] | ||