Information on Result #599317
There is no digital (87, 240, 384)-net over F3, because extracting embedded orthogonal array would yield linear OA(3240, 384, F3, 153) (dual of [384, 144, 154]-code), but
- residual code [i] would yield linear OA(387, 230, F3, 51) (dual of [230, 143, 52]-code), but
- 1 times truncation [i] would yield linear OA(386, 229, F3, 50) (dual of [229, 143, 51]-code), but
- the Johnson bound shows that N ≤ 153 153734 778487 159186 543991 832667 435898 157821 534223 513753 575995 914628 < 3143 [i]
- 1 times truncation [i] would yield linear OA(386, 229, F3, 50) (dual of [229, 143, 51]-code), but
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 (87, 241, 384)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (87, 242, 384)-net over F3 | [i] | ||