Information on Result #599597
There is no digital (61, 241, 258)-net over F4, because extracting embedded orthogonal array would yield linear OA(4241, 258, F4, 180) (dual of [258, 17, 181]-code), but
- residual code [i] would yield OA(461, 77, S4, 45), but
- the linear programming bound shows that M ≥ 87771 116150 262149 392012 316054 470316 656445 882368 / 16226 709967 > 461 [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 (61, 242, 258)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (61, 243, 258)-net over F4 | [i] | ||
| 3 | No digital (61, 244, 258)-net over F4 | [i] | ||