Information on Result #2174731
There is no linear OA(239, 48, F2, 20) (dual of [48, 9, 21]-code), because 1 times code embedding in larger space would yield linear OA(240, 49, F2, 20) (dual of [49, 9, 21]-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(240, 48, F2, 2, 21) (dual of [(48, 2), 56, 22]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(242, 48, F2, 2, 23) (dual of [(48, 2), 54, 24]-NRT-code) | [i] | ||
| 3 | No linear OOA(239, 48, F2, 2, 20) (dual of [(48, 2), 57, 21]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(239, 48, F2, 3, 20) (dual of [(48, 3), 105, 21]-NRT-code) | [i] | ||
| 5 | No linear OOA(239, 48, F2, 4, 20) (dual of [(48, 4), 153, 21]-NRT-code) | [i] | ||
| 6 | No linear OOA(239, 48, F2, 5, 20) (dual of [(48, 5), 201, 21]-NRT-code) | [i] | ||
| 7 | No linear OOA(239, 48, F2, 6, 20) (dual of [(48, 6), 249, 21]-NRT-code) | [i] | ||
| 8 | No linear OOA(239, 48, F2, 7, 20) (dual of [(48, 7), 297, 21]-NRT-code) | [i] | ||
| 9 | No linear OOA(239, 48, F2, 8, 20) (dual of [(48, 8), 345, 21]-NRT-code) | [i] | ||
| 10 | No digital (19, 39, 48)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |