Information on Result #599822
There is no digital (15, 95, 272)-net over F8, because extracting embedded orthogonal array would yield linear OA(895, 272, F8, 80) (dual of [272, 177, 81]-code), but
- residual code [i] would yield OA(815, 191, S8, 10), but
- the linear programming bound shows that M ≥ 25 427098 382149 761175 126016 / 717528 710051 > 815 [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 (15, 96, 272)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (15, 97, 272)-net over F8 | [i] | ||
| 3 | No digital (15, 98, 272)-net over F8 | [i] | ||
| 4 | No digital (15, 99, 272)-net over F8 | [i] | ||