Information on Result #598699
There is no digital (76, 144, 195)-net over F2, because extracting embedded orthogonal array would yield linear OA(2144, 195, F2, 68) (dual of [195, 51, 69]-code), but
- residual code [i] would yield OA(276, 126, S2, 34), but
- the linear programming bound shows that M ≥ 38 459620 016436 403553 321591 630765 416829 509898 862592 / 484 232223 153801 738635 105625 > 276 [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 (76, 145, 195)-net over F2 | [i] | m-Reduction | |