Information on Result #599853
There is no digital (24, 152, 406)-net over F8, because extracting embedded orthogonal array would yield linear OA(8152, 406, F8, 128) (dual of [406, 254, 129]-code), but
- residual code [i] would yield OA(824, 277, S8, 16), but
- the linear programming bound shows that M ≥ 78638 403871 838919 782431 803777 157693 440000 / 16 504446 602386 301789 > 824 [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 (24, 153, 406)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (24, 154, 406)-net over F8 | [i] | ||
| 3 | No digital (24, 155, 406)-net over F8 | [i] | ||
| 4 | No digital (24, 156, 406)-net over F8 | [i] | ||
| 5 | No digital (24, 157, 406)-net over F8 | [i] | ||
| 6 | No digital (24, 158, 406)-net over F8 | [i] | ||
| 7 | No digital (24, 159, 406)-net over F8 | [i] | ||