Information on Result #546997
There is no linear OA(3234, 362, F3, 150) (dual of [362, 128, 151]-code), because residual code would yield linear OA(384, 211, F3, 50) (dual of [211, 127, 51]-code), but
- the Johnson bound shows that N ≤ 3 465392 580935 096296 712977 980638 603324 843243 174078 085715 358657 < 3127 [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(3235, 363, F3, 151) (dual of [363, 128, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3236, 364, F3, 152) (dual of [364, 128, 153]-code) | [i] | ||
| 3 | No linear OOA(3235, 362, F3, 2, 151) (dual of [(362, 2), 489, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3236, 362, F3, 2, 152) (dual of [(362, 2), 488, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3234, 362, F3, 2, 150) (dual of [(362, 2), 490, 151]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3234, 362, F3, 3, 150) (dual of [(362, 3), 852, 151]-NRT-code) | [i] | ||
| 7 | No linear OOA(3234, 362, F3, 4, 150) (dual of [(362, 4), 1214, 151]-NRT-code) | [i] | ||
| 8 | No linear OOA(3234, 362, F3, 5, 150) (dual of [(362, 5), 1576, 151]-NRT-code) | [i] | ||
| 9 | No digital (84, 234, 362)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |