Information on Result #2156264
There is no linear OA(2164, 199, F2, 76) (dual of [199, 35, 77]-code), because adding a parity check bit would yield linear OA(2165, 200, F2, 77) (dual of [200, 35, 78]-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(2165, 199, F2, 2, 77) (dual of [(199, 2), 233, 78]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(2164, 199, F2, 2, 76) (dual of [(199, 2), 234, 77]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2164, 199, F2, 3, 76) (dual of [(199, 3), 433, 77]-NRT-code) | [i] | ||
| 4 | No linear OOA(2164, 199, F2, 4, 76) (dual of [(199, 4), 632, 77]-NRT-code) | [i] | ||
| 5 | No linear OOA(2164, 199, F2, 5, 76) (dual of [(199, 5), 831, 77]-NRT-code) | [i] | ||
| 6 | No linear OOA(2164, 199, F2, 6, 76) (dual of [(199, 6), 1030, 77]-NRT-code) | [i] | ||
| 7 | No linear OOA(2164, 199, F2, 7, 76) (dual of [(199, 7), 1229, 77]-NRT-code) | [i] | ||
| 8 | No linear OOA(2164, 199, F2, 8, 76) (dual of [(199, 8), 1428, 77]-NRT-code) | [i] | ||
| 9 | No digital (88, 164, 199)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(2165, 219, F2, 76) (dual of [219, 54, 77]-code) | [i] | Construction Y1 (Bound) | |