Information on Result #558534
There is no linear OOA(3237, 380, F3, 2, 151) (dual of [(380, 2), 523, 152]-NRT-code), because 1 step m-reduction would yield linear OA(3236, 380, F3, 150) (dual of [380, 144, 151]-code), but
- residual code [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]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(3237, 380, F3, 3, 151) (dual of [(380, 3), 903, 152]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3237, 380, F3, 4, 151) (dual of [(380, 4), 1283, 152]-NRT-code) | [i] | ||
| 3 | No linear OOA(3237, 380, F3, 5, 151) (dual of [(380, 5), 1663, 152]-NRT-code) | [i] | ||