Information on Result #546999
There is no linear OA(3236, 380, F3, 150) (dual of [380, 144, 151]-code), because residual code 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 OA(3237, 381, F3, 151) (dual of [381, 144, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3238, 382, F3, 152) (dual of [382, 144, 153]-code) | [i] | ||
| 3 | No linear OOA(3237, 380, F3, 2, 151) (dual of [(380, 2), 523, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3238, 380, F3, 2, 152) (dual of [(380, 2), 522, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3236, 380, F3, 2, 150) (dual of [(380, 2), 524, 151]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3236, 380, F3, 3, 150) (dual of [(380, 3), 904, 151]-NRT-code) | [i] | ||
| 7 | No linear OOA(3236, 380, F3, 4, 150) (dual of [(380, 4), 1284, 151]-NRT-code) | [i] | ||
| 8 | No linear OOA(3236, 380, F3, 5, 150) (dual of [(380, 5), 1664, 151]-NRT-code) | [i] | ||
| 9 | No digital (86, 236, 380)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |