Information on Result #599804
There is no digital (2, 18, 27)-net over F8, because extracting embedded orthogonal array would yield linear OA(818, 27, F8, 16) (dual of [27, 9, 17]-code), but
- residual code [i] would yield OA(82, 10, S8, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 71 > 82 [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 (2, 19, 27)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (2, 20, 27)-net over F8 | [i] | ||
| 3 | No digital (2, 21, 27)-net over F8 | [i] | ||
| 4 | No digital (2, 22, 27)-net over F8 | [i] | ||
| 5 | No digital (2, 23, 27)-net over F8 | [i] | ||
| 6 | No digital (2, 24, 27)-net over F8 | [i] | ||
| 7 | No digital (2, 25, 27)-net over F8 | [i] | ||