Information on Result #2156209
There is no linear OA(235, 43, F2, 18) (dual of [43, 8, 19]-code), because adding a parity check bit would yield linear OA(236, 44, F2, 19) (dual of [44, 8, 20]-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(236, 43, F2, 2, 19) (dual of [(43, 2), 50, 20]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(235, 43, F2, 2, 18) (dual of [(43, 2), 51, 19]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(235, 43, F2, 3, 18) (dual of [(43, 3), 94, 19]-NRT-code) | [i] | ||
| 4 | No linear OOA(235, 43, F2, 4, 18) (dual of [(43, 4), 137, 19]-NRT-code) | [i] | ||
| 5 | No linear OOA(235, 43, F2, 5, 18) (dual of [(43, 5), 180, 19]-NRT-code) | [i] | ||
| 6 | No linear OOA(235, 43, F2, 6, 18) (dual of [(43, 6), 223, 19]-NRT-code) | [i] | ||
| 7 | No linear OOA(235, 43, F2, 7, 18) (dual of [(43, 7), 266, 19]-NRT-code) | [i] | ||
| 8 | No linear OOA(235, 43, F2, 8, 18) (dual of [(43, 8), 309, 19]-NRT-code) | [i] | ||
| 9 | No digital (17, 35, 43)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |