Information on Result #2156189
There is no linear OA(214, 41, F2, 6) (dual of [41, 27, 7]-code), because adding a parity check bit would yield linear OA(215, 42, F2, 7) (dual of [42, 27, 8]-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(215, 41, F2, 2, 7) (dual of [(41, 2), 67, 8]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(214, 41, F2, 2, 6) (dual of [(41, 2), 68, 7]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(214, 41, F2, 3, 6) (dual of [(41, 3), 109, 7]-NRT-code) | [i] | ||
| 4 | No linear OOA(214, 41, F2, 4, 6) (dual of [(41, 4), 150, 7]-NRT-code) | [i] | ||
| 5 | No linear OOA(214, 41, F2, 5, 6) (dual of [(41, 5), 191, 7]-NRT-code) | [i] | ||
| 6 | No linear OOA(214, 41, F2, 6, 6) (dual of [(41, 6), 232, 7]-NRT-code) | [i] | ||
| 7 | No linear OOA(214, 41, F2, 7, 6) (dual of [(41, 7), 273, 7]-NRT-code) | [i] | ||
| 8 | No linear OOA(214, 41, F2, 8, 6) (dual of [(41, 8), 314, 7]-NRT-code) | [i] | ||
| 9 | No digital (8, 14, 41)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |