Information on Result #599142
There is no digital (64, 184, 225)-net over F3, because extracting embedded orthogonal array would yield linear OA(3184, 225, F3, 120) (dual of [225, 41, 121]-code), but
- residual code [i] would yield OA(364, 104, S3, 40), but
- the linear programming bound shows that M ≥ 2 962004 263094 532507 337869 081743 858222 059094 257308 728871 435455 157099 / 842061 707484 948215 471641 634707 432925 > 364 [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 (64, 185, 225)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (64, 186, 225)-net over F3 | [i] | ||