Information on Result #598690
There is no digital (74, 146, 165)-net over F2, because extracting embedded orthogonal array would yield linear OA(2146, 165, F2, 72) (dual of [165, 19, 73]-code), but
- residual code [i] would yield linear OA(274, 92, F2, 36) (dual of [92, 18, 37]-code), but
- adding a parity check bit [i] would yield linear OA(275, 93, F2, 37) (dual of [93, 18, 38]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(275, 93, F2, 37) (dual of [93, 18, 38]-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 (74, 147, 165)-net over F2 | [i] | m-Reduction | |