Information on Result #2156194
There is no linear OA(220, 32, F2, 10) (dual of [32, 12, 11]-code), because adding a parity check bit would yield linear OA(221, 33, F2, 11) (dual of [33, 12, 12]-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(220, 32, F2, 2, 10) (dual of [(32, 2), 44, 11]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(220, 32, F2, 3, 10) (dual of [(32, 3), 76, 11]-NRT-code) | [i] | ||
| 3 | No linear OOA(220, 32, F2, 4, 10) (dual of [(32, 4), 108, 11]-NRT-code) | [i] | ||
| 4 | No linear OOA(220, 32, F2, 5, 10) (dual of [(32, 5), 140, 11]-NRT-code) | [i] | ||
| 5 | No linear OOA(220, 32, F2, 6, 10) (dual of [(32, 6), 172, 11]-NRT-code) | [i] | ||
| 6 | No linear OOA(220, 32, F2, 7, 10) (dual of [(32, 7), 204, 11]-NRT-code) | [i] | ||
| 7 | No linear OOA(220, 32, F2, 8, 10) (dual of [(32, 8), 236, 11]-NRT-code) | [i] | ||
| 8 | No digital (10, 20, 32)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |