Information on Result #2156231
There is no linear OA(262, 107, F2, 28) (dual of [107, 45, 29]-code), because adding a parity check bit would yield linear OA(263, 108, F2, 29) (dual of [108, 45, 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(263, 107, F2, 2, 29) (dual of [(107, 2), 151, 30]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(262, 107, F2, 2, 28) (dual of [(107, 2), 152, 29]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(262, 107, F2, 3, 28) (dual of [(107, 3), 259, 29]-NRT-code) | [i] | ||
| 4 | No linear OOA(262, 107, F2, 4, 28) (dual of [(107, 4), 366, 29]-NRT-code) | [i] | ||
| 5 | No linear OOA(262, 107, F2, 5, 28) (dual of [(107, 5), 473, 29]-NRT-code) | [i] | ||
| 6 | No linear OOA(262, 107, F2, 6, 28) (dual of [(107, 6), 580, 29]-NRT-code) | [i] | ||
| 7 | No linear OOA(262, 107, F2, 7, 28) (dual of [(107, 7), 687, 29]-NRT-code) | [i] | ||
| 8 | No linear OOA(262, 107, F2, 8, 28) (dual of [(107, 8), 794, 29]-NRT-code) | [i] | ||
| 9 | No digital (34, 62, 107)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |