Information on Result #598526
There is no digital (14, 28, 38)-net over F2, because extracting embedded orthogonal array would yield linear OA(228, 38, F2, 14) (dual of [38, 10, 15]-code), but
- adding a parity check bit [i] would yield linear OA(229, 39, F2, 15) (dual of [39, 10, 16]-code), but
- “Bou†bound on codes from Brouwer’s database [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 (14, 29, 38)-net over F2 | [i] | m-Reduction | |