Information on Result #548334
There is no linear OA(2147, 158, F2, 74) (dual of [158, 11, 75]-code), because residual code 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 OA(2148, 159, F2, 75) (dual of [159, 11, 76]-code) | [i] | Truncation | |
| 2 | No linear OOA(2148, 158, F2, 2, 75) (dual of [(158, 2), 168, 76]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2147, 158, F2, 2, 74) (dual of [(158, 2), 169, 75]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2147, 158, F2, 3, 74) (dual of [(158, 3), 327, 75]-NRT-code) | [i] | ||
| 5 | No linear OOA(2147, 158, F2, 4, 74) (dual of [(158, 4), 485, 75]-NRT-code) | [i] | ||
| 6 | No linear OOA(2147, 158, F2, 5, 74) (dual of [(158, 5), 643, 75]-NRT-code) | [i] | ||
| 7 | No linear OOA(2147, 158, F2, 6, 74) (dual of [(158, 6), 801, 75]-NRT-code) | [i] | ||
| 8 | No linear OOA(2147, 158, F2, 7, 74) (dual of [(158, 7), 959, 75]-NRT-code) | [i] | ||
| 9 | No linear OOA(2147, 158, F2, 8, 74) (dual of [(158, 8), 1117, 75]-NRT-code) | [i] | ||
| 10 | No digital (73, 147, 158)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |