Information on Result #599280
There is no digital (82, 226, 360)-net over F3, because extracting embedded orthogonal array would yield linear OA(3226, 360, F3, 144) (dual of [360, 134, 145]-code), but
- residual code [i] would yield linear OA(382, 215, F3, 48) (dual of [215, 133, 49]-code), but
- the Johnson bound shows that N ≤ 2633 391490 584373 459265 026071 777086 821369 449862 527703 301746 510338 < 3133 [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 (82, 227, 360)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (82, 228, 360)-net over F3 | [i] | ||