Information on Result #598819
There is no digital (98, 190, 216)-net over F2, because extracting embedded orthogonal array would yield linear OA(2190, 216, F2, 92) (dual of [216, 26, 93]-code), but
- 4 times code embedding in larger space [i] would yield linear OA(2194, 220, F2, 92) (dual of [220, 26, 93]-code), but
- adding a parity check bit [i] would yield linear OA(2195, 221, F2, 93) (dual of [221, 26, 94]-code), 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 (98, 191, 216)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (98, 192, 216)-net over F2 | [i] | ||
| 3 | No digital (98, 193, 216)-net over F2 | [i] | ||