Information on Result #598897
There is no digital (130, 258, 275)-net over F2, because extracting embedded orthogonal array would yield linear OA(2258, 275, F2, 128) (dual of [275, 17, 129]-code), but
- residual code [i] would yield OA(2130, 146, S2, 64), but
- the linear programming bound shows that M ≥ 4188 532932 170896 179262 970335 880775 460666 212352 / 2 937077 > 2130 [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 (130, 259, 275)-net over F2 | [i] | m-Reduction | |