Information on Result #548686
There is no linear OA(3158, 175, F3, 105) (dual of [175, 17, 106]-code), because residual code would yield linear OA(353, 69, F3, 35) (dual of [69, 16, 36]-code), but
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(3159, 176, F3, 106) (dual of [176, 17, 107]-code) | [i] | Truncation | |
| 2 | No linear OA(3160, 177, F3, 107) (dual of [177, 17, 108]-code) | [i] | ||
| 3 | No linear OOA(3159, 175, F3, 2, 106) (dual of [(175, 2), 191, 107]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3160, 175, F3, 2, 107) (dual of [(175, 2), 190, 108]-NRT-code) | [i] | ||
| 5 | No linear OOA(3158, 175, F3, 2, 105) (dual of [(175, 2), 192, 106]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3158, 175, F3, 3, 105) (dual of [(175, 3), 367, 106]-NRT-code) | [i] | ||
| 7 | No linear OOA(3158, 175, F3, 4, 105) (dual of [(175, 4), 542, 106]-NRT-code) | [i] | ||
| 8 | No linear OOA(3158, 175, F3, 5, 105) (dual of [(175, 5), 717, 106]-NRT-code) | [i] | ||
| 9 | No digital (53, 158, 175)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |