Information on Result #598813
There is no digital (97, 191, 214)-net over F2, because extracting embedded orthogonal array would yield linear OA(2191, 214, F2, 94) (dual of [214, 23, 95]-code), but
- residual code [i] would yield OA(297, 119, S2, 47), but
- 1 times truncation [i] would yield OA(296, 118, S2, 46), but
- the linear programming bound shows that M ≥ 3649 328393 569529 653896 227896 426496 / 35409 > 296 [i]
- 1 times truncation [i] would yield OA(296, 118, S2, 46), 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 (97, 192, 214)-net over F2 | [i] | m-Reduction | |