Information on Result #599894
There is no digital (19, 145, 293)-net over F9, because extracting embedded orthogonal array would yield linear OA(9145, 293, F9, 126) (dual of [293, 148, 127]-code), but
- residual code [i] would yield OA(919, 166, S9, 14), but
- the linear programming bound shows that M ≥ 5 635433 437532 802732 976253 071875 / 4 113530 240531 > 919 [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 (19, 146, 293)-net over F9 | [i] | m-Reduction | |
| 2 | No digital (19, 147, 293)-net over F9 | [i] | ||
| 3 | No digital (19, 148, 293)-net over F9 | [i] | ||
| 4 | No digital (19, 149, 293)-net over F9 | [i] | ||
| 5 | No digital (19, 150, 293)-net over F9 | [i] | ||