Information on Result #598738
There is no digital (83, 163, 184)-net over F2, because extracting embedded orthogonal array would yield linear OA(2163, 184, F2, 80) (dual of [184, 21, 81]-code), but
- residual code [i] would yield linear OA(283, 103, F2, 40) (dual of [103, 20, 41]-code), but
- adding a parity check bit [i] would yield linear OA(284, 104, F2, 41) (dual of [104, 20, 42]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(284, 104, F2, 41) (dual of [104, 20, 42]-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 (83, 164, 184)-net over F2 | [i] | m-Reduction | |