Information on Result #546692
There is no linear OA(3159, 183, F3, 105) (dual of [183, 24, 106]-code), because residual code would yield OA(354, 77, S3, 35), but
- the linear programming bound shows that M ≥ 49772 879413 668128 111108 466099 084271 883739 / 760 672693 173302 > 354 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3160, 184, F3, 106) (dual of [184, 24, 107]-code) | [i] | Truncation | |
| 2 | No linear OA(3161, 185, F3, 107) (dual of [185, 24, 108]-code) | [i] | ||
| 3 | No linear OOA(3160, 183, F3, 2, 106) (dual of [(183, 2), 206, 107]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3161, 183, F3, 2, 107) (dual of [(183, 2), 205, 108]-NRT-code) | [i] | ||
| 5 | No linear OOA(3159, 183, F3, 2, 105) (dual of [(183, 2), 207, 106]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3159, 183, F3, 3, 105) (dual of [(183, 3), 390, 106]-NRT-code) | [i] | ||
| 7 | No linear OOA(3159, 183, F3, 4, 105) (dual of [(183, 4), 573, 106]-NRT-code) | [i] | ||
| 8 | No linear OOA(3159, 183, F3, 5, 105) (dual of [(183, 5), 756, 106]-NRT-code) | [i] | ||
| 9 | No digital (54, 159, 183)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |