Information on Result #599579
There is no digital (60, 208, 377)-net over F4, because extracting embedded orthogonal array would yield linear OA(4208, 377, F4, 148) (dual of [377, 169, 149]-code), but
- residual code [i] would yield OA(460, 228, S4, 37), but
- the linear programming bound shows that M ≥ 4 063856 865702 461109 434988 542147 550126 468452 401248 290460 178687 206981 384116 633600 / 3 020261 554987 735388 398172 544670 898492 334641 > 460 [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 (60, 209, 377)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 210, 377)-net over F4 | [i] | ||
| 3 | No digital (60, 211, 377)-net over F4 | [i] | ||