Information on Result #598658
There is no digital (68, 138, 147)-net over F2, because extracting embedded orthogonal array would yield linear OA(2138, 147, F2, 70) (dual of [147, 9, 71]-code), but
- residual code [i] would yield linear OA(268, 76, F2, 35) (dual of [76, 8, 36]-code), but
- “BJV†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 (68, 139, 147)-net over F2 | [i] | m-Reduction | |