Information on Result #598862
There is no digital (121, 243, 256)-net over F2, because extracting embedded orthogonal array would yield linear OA(2243, 256, F2, 122) (dual of [256, 13, 123]-code), but
- residual code [i] would yield OA(2121, 133, S2, 61), but
- 1 times truncation [i] would yield OA(2120, 132, S2, 60), but
- the linear programming bound shows that M ≥ 16503 694795 665515 477973 668460 440758 255616 / 10323 > 2120 [i]
- 1 times truncation [i] would yield OA(2120, 132, S2, 60), but
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, 244, 256)-net over F2 | [i] | m-Reduction | |