Information on Result #2156250
There is no linear OA(292, 103, F2, 46) (dual of [103, 11, 47]-code), because adding a parity check bit would yield linear OA(293, 104, F2, 47) (dual of [104, 11, 48]-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(293, 103, F2, 2, 47) (dual of [(103, 2), 113, 48]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(292, 103, F2, 2, 46) (dual of [(103, 2), 114, 47]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(292, 103, F2, 3, 46) (dual of [(103, 3), 217, 47]-NRT-code) | [i] | ||
| 4 | No linear OOA(292, 103, F2, 4, 46) (dual of [(103, 4), 320, 47]-NRT-code) | [i] | ||
| 5 | No linear OOA(292, 103, F2, 5, 46) (dual of [(103, 5), 423, 47]-NRT-code) | [i] | ||
| 6 | No linear OOA(292, 103, F2, 6, 46) (dual of [(103, 6), 526, 47]-NRT-code) | [i] | ||
| 7 | No linear OOA(292, 103, F2, 7, 46) (dual of [(103, 7), 629, 47]-NRT-code) | [i] | ||
| 8 | No linear OOA(292, 103, F2, 8, 46) (dual of [(103, 8), 732, 47]-NRT-code) | [i] | ||
| 9 | No digital (46, 92, 103)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(2184, 196, F2, 92) (dual of [196, 12, 93]-code) | [i] | Residual Code | |