Information on Result #2156241
There is no linear OA(282, 90, F2, 42) (dual of [90, 8, 43]-code), because adding a parity check bit would yield linear OA(283, 91, F2, 43) (dual of [91, 8, 44]-code), but
- “DMa†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(282, 90, F2, 2, 42) (dual of [(90, 2), 98, 43]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(282, 90, F2, 3, 42) (dual of [(90, 3), 188, 43]-NRT-code) | [i] | ||
| 3 | No linear OOA(282, 90, F2, 4, 42) (dual of [(90, 4), 278, 43]-NRT-code) | [i] | ||
| 4 | No linear OOA(282, 90, F2, 5, 42) (dual of [(90, 5), 368, 43]-NRT-code) | [i] | ||
| 5 | No linear OOA(282, 90, F2, 6, 42) (dual of [(90, 6), 458, 43]-NRT-code) | [i] | ||
| 6 | No linear OOA(282, 90, F2, 7, 42) (dual of [(90, 7), 548, 43]-NRT-code) | [i] | ||
| 7 | No linear OOA(282, 90, F2, 8, 42) (dual of [(90, 8), 638, 43]-NRT-code) | [i] | ||
| 8 | No linear OA(2166, 175, F2, 84) (dual of [175, 9, 85]-code) | [i] | Residual Code | |