Information on Result #598865
There is no digital (122, 242, 259)-net over F2, because extracting embedded orthogonal array would yield linear OA(2242, 259, F2, 120) (dual of [259, 17, 121]-code), but
- residual code [i] would yield OA(2122, 138, S2, 60), but
- the linear programming bound shows that M ≥ 9 124501 527801 504428 538658 410979 148706 086912 / 1 627593 > 2122 [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 (122, 243, 259)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (122, 244, 259)-net over F2 | [i] | ||
| 3 | No digital (122, 245, 259)-net over F2 | [i] | ||