Information on Result #598591
There is no digital (36, 72, 82)-net over F2, because extracting embedded orthogonal array would yield linear OA(272, 82, F2, 36) (dual of [82, 10, 37]-code), but
- adding a parity check bit [i] would yield linear OA(273, 83, F2, 37) (dual of [83, 10, 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 (36, 73, 82)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (36, 74, 82)-net over F2 | [i] | ||
| 3 | No digital (36, 75, 82)-net over F2 | [i] | ||