Information on Result #670645
Linear OA(12812, 65028, F128, 5) (dual of [65028, 65016, 6]-code), using generalized (u, u+v)-construction 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
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(12812, 65028, F128, 2, 5) (dual of [(65028, 2), 130044, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12812, 65028, F128, 3, 5) (dual of [(65028, 3), 195072, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(12812, 65028, F128, 4, 5) (dual of [(65028, 4), 260100, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(12812, 32514, F128, 2, 5) (dual of [(32514, 2), 65016, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(12812, 32513, F128, 3, 5) (dual of [(32513, 3), 97527, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(12812, 32513, F128, 4, 5) (dual of [(32513, 4), 130040, 6]-NRT-code) | [i] | ||