Information on Result #547518
There is no linear OA(539, 88, F5, 30) (dual of [88, 49, 31]-code), because residual code would yield OA(59, 57, S5, 6), but
- the linear programming bound shows that M ≥ 89349 609375 / 43961 > 59 [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 OOA(539, 88, F5, 2, 30) (dual of [(88, 2), 137, 31]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(539, 88, F5, 3, 30) (dual of [(88, 3), 225, 31]-NRT-code) | [i] | ||
| 3 | No digital (9, 39, 88)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |