Information on Result #598827
There is no digital (99, 197, 214)-net over F2, because extracting embedded orthogonal array would yield linear OA(2197, 214, F2, 98) (dual of [214, 17, 99]-code), but
- residual code [i] would yield OA(299, 115, S2, 49), but
- 1 times truncation [i] would yield OA(298, 114, S2, 48), but
- the linear programming bound shows that M ≥ 141449 524575 866749 536608 130468 675584 / 431375 > 298 [i]
- 1 times truncation [i] would yield OA(298, 114, S2, 48), but
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 (99, 198, 214)-net over F2 | [i] | m-Reduction | |