Information on Result #2156214
There is no linear OA(241, 54, F2, 20) (dual of [54, 13, 21]-code), because adding a parity check bit would yield linear OA(242, 55, F2, 21) (dual of [55, 13, 22]-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(242, 54, F2, 2, 21) (dual of [(54, 2), 66, 22]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(241, 54, F2, 2, 20) (dual of [(54, 2), 67, 21]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(241, 54, F2, 3, 20) (dual of [(54, 3), 121, 21]-NRT-code) | [i] | ||
| 4 | No linear OOA(241, 54, F2, 4, 20) (dual of [(54, 4), 175, 21]-NRT-code) | [i] | ||
| 5 | No linear OOA(241, 54, F2, 5, 20) (dual of [(54, 5), 229, 21]-NRT-code) | [i] | ||
| 6 | No linear OOA(241, 54, F2, 6, 20) (dual of [(54, 6), 283, 21]-NRT-code) | [i] | ||
| 7 | No linear OOA(241, 54, F2, 7, 20) (dual of [(54, 7), 337, 21]-NRT-code) | [i] | ||
| 8 | No linear OOA(241, 54, F2, 8, 20) (dual of [(54, 8), 391, 21]-NRT-code) | [i] | ||
| 9 | No digital (21, 41, 54)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |