Information on Result #2256126
Linear OA(1289, 32513, F128, 4) (dual of [32513, 32504, 5]-code), using 1 times truncation based on linear OA(12810, 32514, F128, 5) (dual of [32514, 32504, 6]-code), using
- (u, u+v)-construction [i] based on
- 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(1283, 16257, F128, 2) (dual of [16257, 16254, 3]-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(1289, 32513, F128, 2, 4) (dual of [(32513, 2), 65017, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(1289, 32513, F128, 3, 4) (dual of [(32513, 3), 97530, 5]-NRT-code) | [i] | ||
| 3 | Linear OOA(1289, 16256, F128, 2, 4) (dual of [(16256, 2), 32503, 5]-NRT-code) | [i] | OOA Folding | |