Information on Result #599857
There is no digital (25, 169, 339)-net over F8, because extracting embedded orthogonal array would yield linear OA(8169, 339, F8, 144) (dual of [339, 170, 145]-code), but
- residual code [i] would yield OA(825, 194, S8, 18), but
- the linear programming bound shows that M ≥ 981 557937 430649 389126 891450 072096 402915 196928 / 25377 967658 307417 319547 > 825 [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 (25, 170, 339)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (25, 171, 339)-net over F8 | [i] | ||
| 3 | No digital (25, 172, 339)-net over F8 | [i] | ||
| 4 | No digital (25, 173, 339)-net over F8 | [i] | ||