Information on Result #598868
There is no digital (123, 243, 261)-net over F2, because extracting embedded orthogonal array would yield linear OA(2243, 261, F2, 120) (dual of [261, 18, 121]-code), but
- residual code [i] would yield OA(2123, 140, S2, 60), but
- the linear programming bound shows that M ≥ 3 888746 889172 484760 459445 013730 247120 519168 / 329189 > 2123 [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 (123, 244, 261)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (123, 245, 261)-net over F2 | [i] | ||
| 3 | No digital (123, 246, 261)-net over F2 | [i] | ||