Information on Result #598511
There is no digital (8, 16, 24)-net over F2, because extracting embedded orthogonal array would yield linear OA(216, 24, F2, 8) (dual of [24, 8, 9]-code), but
- adding a parity check bit [i] would yield linear OA(217, 25, F2, 9) (dual of [25, 8, 10]-code), but
- “YH1†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 (8, 17, 24)-net over F2 | [i] | m-Reduction | |