Information on Result #526685
There is no linear OA(8182, 243, F81, 81) (dual of [243, 161, 82]-code), because dual of a near-MDS code is again a near-MDS code would yield linear OA(81161, 243, F81, 160) (dual of [243, 82, 161]-code), but
- discarding factors / shortening the dual code would yield linear OA(81161, 164, F81, 160) (dual of [164, 3, 161]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(8182, 243, F81, 2, 81) (dual of [(243, 2), 404, 82]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(8182, 243, F81, 3, 81) (dual of [(243, 3), 647, 82]-NRT-code) | [i] | ||
| 3 | No linear OOA(8182, 243, F81, 4, 81) (dual of [(243, 4), 890, 82]-NRT-code) | [i] | ||
| 4 | No digital (1, 82, 243)-net over F81 | [i] | Extracting Embedded Orthogonal Array | |