Information on Result #2156237
There is no linear OA(272, 82, F2, 36) (dual of [82, 10, 37]-code), because adding a parity check bit would yield linear OA(273, 83, F2, 37) (dual of [83, 10, 38]-code), but
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(273, 82, F2, 2, 37) (dual of [(82, 2), 91, 38]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(275, 82, F2, 2, 39) (dual of [(82, 2), 89, 40]-NRT-code) | [i] | ||
| 3 | No linear OOA(272, 82, F2, 2, 36) (dual of [(82, 2), 92, 37]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(272, 82, F2, 3, 36) (dual of [(82, 3), 174, 37]-NRT-code) | [i] | ||
| 5 | No linear OOA(272, 82, F2, 4, 36) (dual of [(82, 4), 256, 37]-NRT-code) | [i] | ||
| 6 | No linear OOA(272, 82, F2, 5, 36) (dual of [(82, 5), 338, 37]-NRT-code) | [i] | ||
| 7 | No linear OOA(272, 82, F2, 6, 36) (dual of [(82, 6), 420, 37]-NRT-code) | [i] | ||
| 8 | No linear OOA(272, 82, F2, 7, 36) (dual of [(82, 7), 502, 37]-NRT-code) | [i] | ||
| 9 | No linear OOA(272, 82, F2, 8, 36) (dual of [(82, 8), 584, 37]-NRT-code) | [i] | ||
| 10 | No digital (36, 72, 82)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2144, 155, F2, 72) (dual of [155, 11, 73]-code) | [i] | Residual Code | |