Information on Result #2156222
There is no linear OA(256, 66, F2, 28) (dual of [66, 10, 29]-code), because adding a parity check bit would yield linear OA(257, 67, F2, 29) (dual of [67, 10, 30]-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(257, 66, F2, 2, 29) (dual of [(66, 2), 75, 30]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(259, 66, F2, 2, 31) (dual of [(66, 2), 73, 32]-NRT-code) | [i] | ||
| 3 | No linear OOA(256, 66, F2, 2, 28) (dual of [(66, 2), 76, 29]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(256, 66, F2, 3, 28) (dual of [(66, 3), 142, 29]-NRT-code) | [i] | ||
| 5 | No linear OOA(256, 66, F2, 4, 28) (dual of [(66, 4), 208, 29]-NRT-code) | [i] | ||
| 6 | No linear OOA(256, 66, F2, 5, 28) (dual of [(66, 5), 274, 29]-NRT-code) | [i] | ||
| 7 | No linear OOA(256, 66, F2, 6, 28) (dual of [(66, 6), 340, 29]-NRT-code) | [i] | ||
| 8 | No linear OOA(256, 66, F2, 7, 28) (dual of [(66, 7), 406, 29]-NRT-code) | [i] | ||
| 9 | No linear OOA(256, 66, F2, 8, 28) (dual of [(66, 8), 472, 29]-NRT-code) | [i] | ||
| 10 | No digital (28, 56, 66)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2112, 123, F2, 56) (dual of [123, 11, 57]-code) | [i] | Residual Code | |