Information on Result #2156249
There is no linear OA(291, 101, F2, 46) (dual of [101, 10, 47]-code), because adding a parity check bit would yield linear OA(292, 102, F2, 47) (dual of [102, 10, 48]-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(292, 101, F2, 2, 47) (dual of [(101, 2), 110, 48]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(291, 101, F2, 2, 46) (dual of [(101, 2), 111, 47]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(291, 101, F2, 3, 46) (dual of [(101, 3), 212, 47]-NRT-code) | [i] | ||
| 4 | No linear OOA(291, 101, F2, 4, 46) (dual of [(101, 4), 313, 47]-NRT-code) | [i] | ||
| 5 | No linear OOA(291, 101, F2, 5, 46) (dual of [(101, 5), 414, 47]-NRT-code) | [i] | ||
| 6 | No linear OOA(291, 101, F2, 6, 46) (dual of [(101, 6), 515, 47]-NRT-code) | [i] | ||
| 7 | No linear OOA(291, 101, F2, 7, 46) (dual of [(101, 7), 616, 47]-NRT-code) | [i] | ||
| 8 | No linear OOA(291, 101, F2, 8, 46) (dual of [(101, 8), 717, 47]-NRT-code) | [i] | ||
| 9 | No digital (45, 91, 101)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(2183, 194, F2, 92) (dual of [194, 11, 93]-code) | [i] | Residual Code | |