Information on Result #548627
There is no linear OA(56, 43, F5, 4) (dual of [43, 37, 5]-code), because construction Y1 would yield
- linear OA(55, 13, F5, 4) (dual of [13, 8, 5]-code), but
- “Bou†bound on codes from Brouwer’s database [i]
- linear OA(537, 43, F5, 30) (dual of [43, 6, 31]-code), but
- residual code [i] would yield linear OA(57, 12, F5, 6) (dual of [12, 5, 7]-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 OOA(56, 43, F5, 2, 4) (dual of [(43, 2), 80, 5]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(56, 43, F5, 3, 4) (dual of [(43, 3), 123, 5]-NRT-code) | [i] | ||
| 3 | No digital (2, 6, 43)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |