Information on Result #598589
There is no digital (35, 71, 79)-net over F2, because extracting embedded orthogonal array would yield linear OA(271, 79, F2, 36) (dual of [79, 8, 37]-code), but
- adding a parity check bit [i] would yield linear OA(272, 80, F2, 37) (dual of [80, 8, 38]-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 (35, 72, 79)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (35, 73, 79)-net over F2 | [i] | ||
| 3 | No digital (35, 74, 79)-net over F2 | [i] | ||
| 4 | No digital (35, 75, 79)-net over F2 | [i] | ||
| 5 | No digital (35, 76, 79)-net over F2 | [i] | ||
| 6 | No digital (35, 77, 79)-net over F2 | [i] | ||
| 7 | No digital (35, 78, 79)-net over F2 | [i] | ||
| 8 | No digital (35, 79, 79)-net over F2 | [i] | ||
| 9 | No digital (35, 80, 79)-net over F2 | [i] | ||