Information on Result #598861
There is no digital (121, 241, 257)-net over F2, because extracting embedded orthogonal array would yield linear OA(2241, 257, F2, 120) (dual of [257, 16, 121]-code), but
- residual code [i] would yield OA(2121, 136, S2, 60), but
- the linear programming bound shows that M ≥ 579798 617937 414024 433657 409237 804061 294592 / 216783 > 2121 [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 (121, 242, 257)-net over F2 | [i] | m-Reduction | |