Information on Result #2156228
There is no linear OA(260, 91, F2, 28) (dual of [91, 31, 29]-code), because adding a parity check bit would yield linear OA(261, 92, F2, 29) (dual of [92, 31, 30]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
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(261, 91, F2, 2, 29) (dual of [(91, 2), 121, 30]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(260, 91, F2, 2, 28) (dual of [(91, 2), 122, 29]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(260, 91, F2, 3, 28) (dual of [(91, 3), 213, 29]-NRT-code) | [i] | ||
| 4 | No linear OOA(260, 91, F2, 4, 28) (dual of [(91, 4), 304, 29]-NRT-code) | [i] | ||
| 5 | No linear OOA(260, 91, F2, 5, 28) (dual of [(91, 5), 395, 29]-NRT-code) | [i] | ||
| 6 | No linear OOA(260, 91, F2, 6, 28) (dual of [(91, 6), 486, 29]-NRT-code) | [i] | ||
| 7 | No linear OOA(260, 91, F2, 7, 28) (dual of [(91, 7), 577, 29]-NRT-code) | [i] | ||
| 8 | No linear OOA(260, 91, F2, 8, 28) (dual of [(91, 8), 668, 29]-NRT-code) | [i] | ||
| 9 | No digital (32, 60, 91)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |