Information on Result #599851
There is no digital (22, 166, 244)-net over F8, because extracting embedded orthogonal array would yield linear OA(8166, 244, F8, 144) (dual of [244, 78, 145]-code), but
- residual code [i] would yield OA(822, 99, S8, 18), but
- the linear programming bound shows that M ≥ 7 461344 900772 163012 506367 600128 688128 / 94986 278747 950549 > 822 [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 (22, 167, 244)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (22, 168, 244)-net over F8 | [i] | ||
| 3 | No digital (22, 169, 244)-net over F8 | [i] | ||
| 4 | No digital (22, 170, 244)-net over F8 | [i] | ||
| 5 | No digital (22, 171, 244)-net over F8 | [i] | ||
| 6 | No digital (22, 172, 244)-net over F8 | [i] | ||
| 7 | No digital (22, 173, 244)-net over F8 | [i] | ||