Information on Result #2156226
There is no linear OA(258, 66, F2, 30) (dual of [66, 8, 31]-code), because adding a parity check bit would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-code), but
- “DHM†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(258, 66, F2, 2, 30) (dual of [(66, 2), 74, 31]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(258, 66, F2, 3, 30) (dual of [(66, 3), 140, 31]-NRT-code) | [i] | ||
| 3 | No linear OOA(258, 66, F2, 4, 30) (dual of [(66, 4), 206, 31]-NRT-code) | [i] | ||
| 4 | No linear OOA(258, 66, F2, 5, 30) (dual of [(66, 5), 272, 31]-NRT-code) | [i] | ||
| 5 | No linear OOA(258, 66, F2, 6, 30) (dual of [(66, 6), 338, 31]-NRT-code) | [i] | ||
| 6 | No linear OOA(258, 66, F2, 7, 30) (dual of [(66, 7), 404, 31]-NRT-code) | [i] | ||
| 7 | No linear OOA(258, 66, F2, 8, 30) (dual of [(66, 8), 470, 31]-NRT-code) | [i] | ||
| 8 | No linear OA(2118, 127, F2, 60) (dual of [127, 9, 61]-code) | [i] | Residual Code | |