Information on Result #599583
There is no digital (60, 224, 305)-net over F4, because extracting embedded orthogonal array would yield linear OA(4224, 305, F4, 164) (dual of [305, 81, 165]-code), but
- residual code [i] would yield OA(460, 140, S4, 41), but
- the linear programming bound shows that M ≥ 879403 484026 313933 129107 893130 654952 488416 854359 107391 996054 021035 128392 974988 409099 175067 144881 999812 150052 449544 895148 851200 / 619301 085252 374849 001693 023953 651889 253595 081048 920563 530321 558861 109148 317743 673454 318139 > 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, 225, 305)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 226, 305)-net over F4 | [i] | ||
| 3 | No digital (60, 227, 305)-net over F4 | [i] | ||