Information on Result #599246
There is no digital (78, 225, 260)-net over F3, because extracting embedded orthogonal array would yield linear OA(3225, 260, F3, 147) (dual of [260, 35, 148]-code), but
- residual code [i] would yield OA(378, 112, S3, 49), but
- the linear programming bound shows that M ≥ 23121 339982 129752 217216 969972 698951 685311 859808 619791 997981 / 1328 024731 338747 547105 > 378 [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 (78, 226, 260)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (78, 227, 260)-net over F3 | [i] | ||