Information on Result #599273
There is no digital (81, 225, 351)-net over F3, because extracting embedded orthogonal array would yield linear OA(3225, 351, F3, 144) (dual of [351, 126, 145]-code), but
- residual code [i] would yield linear OA(381, 206, F3, 48) (dual of [206, 125, 49]-code), but
- the Johnson bound shows that N ≤ 390067 621362 525166 675859 888729 736992 372634 079787 564789 713745 < 3125 [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 (81, 226, 351)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (81, 227, 351)-net over F3 | [i] | ||