Information on Result #2156239
There is no linear OA(274, 82, F2, 38) (dual of [82, 8, 39]-code), because adding a parity check bit would yield linear OA(275, 83, F2, 39) (dual of [83, 8, 40]-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(274, 82, F2, 2, 38) (dual of [(82, 2), 90, 39]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(274, 82, F2, 3, 38) (dual of [(82, 3), 172, 39]-NRT-code) | [i] | ||
| 3 | No linear OOA(274, 82, F2, 4, 38) (dual of [(82, 4), 254, 39]-NRT-code) | [i] | ||
| 4 | No linear OOA(274, 82, F2, 5, 38) (dual of [(82, 5), 336, 39]-NRT-code) | [i] | ||
| 5 | No linear OOA(274, 82, F2, 6, 38) (dual of [(82, 6), 418, 39]-NRT-code) | [i] | ||
| 6 | No linear OOA(274, 82, F2, 7, 38) (dual of [(82, 7), 500, 39]-NRT-code) | [i] | ||
| 7 | No linear OOA(274, 82, F2, 8, 38) (dual of [(82, 8), 582, 39]-NRT-code) | [i] | ||
| 8 | No linear OA(2150, 159, F2, 76) (dual of [159, 9, 77]-code) | [i] | Residual Code | |