Information on Result #598583
There is no digital (33, 67, 75)-net over F2, because extracting embedded orthogonal array would yield linear OA(267, 75, F2, 34) (dual of [75, 8, 35]-code), but
- adding a parity check bit [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 (33, 68, 75)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (33, 69, 75)-net over F2 | [i] | ||
| 3 | No digital (33, 70, 75)-net over F2 | [i] | ||
| 4 | No digital (33, 71, 75)-net over F2 | [i] | ||
| 5 | No digital (33, 72, 75)-net over F2 | [i] | ||
| 6 | No digital (33, 73, 75)-net over F2 | [i] | ||
| 7 | No digital (33, 74, 75)-net over F2 | [i] | ||
| 8 | No digital (33, 75, 75)-net over F2 | [i] | ||
| 9 | No digital (33, 76, 75)-net over F2 | [i] | ||