Information on Result #1050919
Linear OOA(12812, 32513, F128, 4, 5) (dual of [(32513, 4), 130040, 6]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OA(12812, 65027, F128, 5) (dual of [65027, 65015, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(12812, 65028, F128, 5) (dual of [65028, 65016, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(1281, 16257, F128, 1) (dual of [16257, 16256, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1281, 16257, F128, 1) (dual of [16257, 16256, 2]-code) (see above)
- linear OA(1283, 16257, F128, 2) (dual of [16257, 16254, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(1283, 16513, F128, 2) (dual of [16513, 16510, 3]-code), using
- Hamming code H(3,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 16513, F128, 2) (dual of [16513, 16510, 3]-code), using
- linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- linear OA(1281, 16257, F128, 1) (dual of [16257, 16256, 2]-code), using
- generalized (u, u+v)-construction [i] based on
Mode: Constructive and 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12849, 2129663, F128, 4, 10) (dual of [(2129663, 4), 8518603, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12853, 2129663, F128, 4, 11) (dual of [(2129663, 4), 8518599, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(12862, 4653439, F128, 4, 11) (dual of [(4653439, 4), 18613694, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(12858, 4653439, F128, 4, 10) (dual of [(4653439, 4), 18613698, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(12812, 32513, F128, 5, 5) (dual of [(32513, 5), 162553, 6]-NRT-code) | [i] | Appending kth Column | |