Information on Result #548330
There is no linear OA(2145, 159, F2, 72) (dual of [159, 14, 73]-code), because residual code 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(2146, 160, F2, 73) (dual of [160, 14, 74]-code) | [i] | Truncation | |
| 2 | No linear OOA(2146, 159, F2, 2, 73) (dual of [(159, 2), 172, 74]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2145, 159, F2, 2, 72) (dual of [(159, 2), 173, 73]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2145, 159, F2, 3, 72) (dual of [(159, 3), 332, 73]-NRT-code) | [i] | ||
| 5 | No linear OOA(2145, 159, F2, 4, 72) (dual of [(159, 4), 491, 73]-NRT-code) | [i] | ||
| 6 | No linear OOA(2145, 159, F2, 5, 72) (dual of [(159, 5), 650, 73]-NRT-code) | [i] | ||
| 7 | No linear OOA(2145, 159, F2, 6, 72) (dual of [(159, 6), 809, 73]-NRT-code) | [i] | ||
| 8 | No linear OOA(2145, 159, F2, 7, 72) (dual of [(159, 7), 968, 73]-NRT-code) | [i] | ||
| 9 | No linear OOA(2145, 159, F2, 8, 72) (dual of [(159, 8), 1127, 73]-NRT-code) | [i] | ||
| 10 | No digital (73, 145, 159)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |