Information on Result #548335
There is no linear OA(2148, 162, F2, 74) (dual of [162, 14, 75]-code), because residual code would yield linear OA(274, 87, F2, 37) (dual of [87, 13, 38]-code), but
- 1 times truncation [i] would yield linear OA(273, 86, F2, 36) (dual of [86, 13, 37]-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 OA(2149, 163, F2, 75) (dual of [163, 14, 76]-code) | [i] | Truncation | |
| 2 | No linear OOA(2149, 162, F2, 2, 75) (dual of [(162, 2), 175, 76]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2148, 162, F2, 2, 74) (dual of [(162, 2), 176, 75]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2148, 162, F2, 3, 74) (dual of [(162, 3), 338, 75]-NRT-code) | [i] | ||
| 5 | No linear OOA(2148, 162, F2, 4, 74) (dual of [(162, 4), 500, 75]-NRT-code) | [i] | ||
| 6 | No linear OOA(2148, 162, F2, 5, 74) (dual of [(162, 5), 662, 75]-NRT-code) | [i] | ||
| 7 | No linear OOA(2148, 162, F2, 6, 74) (dual of [(162, 6), 824, 75]-NRT-code) | [i] | ||
| 8 | No linear OOA(2148, 162, F2, 7, 74) (dual of [(162, 7), 986, 75]-NRT-code) | [i] | ||
| 9 | No linear OOA(2148, 162, F2, 8, 74) (dual of [(162, 8), 1148, 75]-NRT-code) | [i] | ||
| 10 | No digital (74, 148, 162)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |