Information on Result #2156260
There is no linear OA(2149, 178, F2, 70) (dual of [178, 29, 71]-code), because adding a parity check bit would yield linear OA(2150, 179, F2, 71) (dual of [179, 29, 72]-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(2150, 178, F2, 2, 71) (dual of [(178, 2), 206, 72]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(2152, 178, F2, 2, 73) (dual of [(178, 2), 204, 74]-NRT-code) | [i] | ||
| 3 | No linear OOA(2149, 178, F2, 2, 70) (dual of [(178, 2), 207, 71]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2149, 178, F2, 3, 70) (dual of [(178, 3), 385, 71]-NRT-code) | [i] | ||
| 5 | No linear OOA(2149, 178, F2, 4, 70) (dual of [(178, 4), 563, 71]-NRT-code) | [i] | ||
| 6 | No linear OOA(2149, 178, F2, 5, 70) (dual of [(178, 5), 741, 71]-NRT-code) | [i] | ||
| 7 | No linear OOA(2149, 178, F2, 6, 70) (dual of [(178, 6), 919, 71]-NRT-code) | [i] | ||
| 8 | No linear OOA(2149, 178, F2, 7, 70) (dual of [(178, 7), 1097, 71]-NRT-code) | [i] | ||
| 9 | No linear OOA(2149, 178, F2, 8, 70) (dual of [(178, 8), 1275, 71]-NRT-code) | [i] | ||
| 10 | No digital (79, 149, 178)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2150, 194, F2, 70) (dual of [194, 44, 71]-code) | [i] | Construction Y1 (Bound) | |