Information on Result #2156242
There is no linear OA(283, 103, F2, 40) (dual of [103, 20, 41]-code), because adding a parity check bit would yield linear OA(284, 104, F2, 41) (dual of [104, 20, 42]-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(284, 103, F2, 2, 41) (dual of [(103, 2), 122, 42]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(283, 103, F2, 2, 40) (dual of [(103, 2), 123, 41]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(283, 103, F2, 3, 40) (dual of [(103, 3), 226, 41]-NRT-code) | [i] | ||
| 4 | No linear OOA(283, 103, F2, 4, 40) (dual of [(103, 4), 329, 41]-NRT-code) | [i] | ||
| 5 | No linear OOA(283, 103, F2, 5, 40) (dual of [(103, 5), 432, 41]-NRT-code) | [i] | ||
| 6 | No linear OOA(283, 103, F2, 6, 40) (dual of [(103, 6), 535, 41]-NRT-code) | [i] | ||
| 7 | No linear OOA(283, 103, F2, 7, 40) (dual of [(103, 7), 638, 41]-NRT-code) | [i] | ||
| 8 | No linear OOA(283, 103, F2, 8, 40) (dual of [(103, 8), 741, 41]-NRT-code) | [i] | ||
| 9 | No digital (43, 83, 103)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(2163, 184, F2, 80) (dual of [184, 21, 81]-code) | [i] | Residual Code | |