Information on Result #598729
There is no digital (82, 154, 217)-net over F2, because extracting embedded orthogonal array would yield linear OA(2154, 217, F2, 72) (dual of [217, 63, 73]-code), but
- residual code [i] would yield OA(282, 144, S2, 36), but
- the linear programming bound shows that M ≥ 2893 609949 429043 518839 097243 777165 200630 895720 113073 291264 / 558 874024 262522 794899 259597 123083 > 282 [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 (82, 155, 217)-net over F2 | [i] | m-Reduction | |