Information on Result #548348
There is no linear OA(2161, 175, F2, 80) (dual of [175, 14, 81]-code), because residual code would yield linear OA(281, 94, F2, 40) (dual of [94, 13, 41]-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(2162, 176, F2, 81) (dual of [176, 14, 82]-code) | [i] | Truncation | |
| 2 | No linear OOA(2162, 175, F2, 2, 81) (dual of [(175, 2), 188, 82]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2161, 175, F2, 2, 80) (dual of [(175, 2), 189, 81]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2161, 175, F2, 3, 80) (dual of [(175, 3), 364, 81]-NRT-code) | [i] | ||
| 5 | No linear OOA(2161, 175, F2, 4, 80) (dual of [(175, 4), 539, 81]-NRT-code) | [i] | ||
| 6 | No linear OOA(2161, 175, F2, 5, 80) (dual of [(175, 5), 714, 81]-NRT-code) | [i] | ||
| 7 | No linear OOA(2161, 175, F2, 6, 80) (dual of [(175, 6), 889, 81]-NRT-code) | [i] | ||
| 8 | No linear OOA(2161, 175, F2, 7, 80) (dual of [(175, 7), 1064, 81]-NRT-code) | [i] | ||
| 9 | No linear OOA(2161, 175, F2, 8, 80) (dual of [(175, 8), 1239, 81]-NRT-code) | [i] | ||
| 10 | No digital (81, 161, 175)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |