Information on Result #598843
There is no digital (105, 203, 240)-net over F2, because extracting embedded orthogonal array would yield linear OA(2203, 240, F2, 98) (dual of [240, 37, 99]-code), but
- residual code [i] would yield OA(2105, 141, S2, 49), but
- 1 times truncation [i] would yield OA(2104, 140, S2, 48), but
- the linear programming bound shows that M ≥ 906615 640616 170781 657520 759485 197602 258944 / 38102 739675 > 2104 [i]
- 1 times truncation [i] would yield OA(2104, 140, S2, 48), 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 (105, 204, 240)-net over F2 | [i] | m-Reduction | |