Information on Result #598710
There is no digital (78, 146, 214)-net over F2, because extracting embedded orthogonal array would yield linear OA(2146, 214, F2, 68) (dual of [214, 68, 69]-code), but
- residual code [i] would yield OA(278, 145, S2, 34), but
- the linear programming bound shows that M ≥ 6 452658 897421 925882 991923 762933 214377 859980 440698 591468 415644 336128 / 20 712793 240469 221474 764436 259197 787149 263939 > 278 [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 (78, 147, 214)-net over F2 | [i] | m-Reduction | |