Information on Result #671453
Linear OA(12810, 32514, F128, 5) (dual of [32514, 32504, 6]-code), using (u, u+v)-construction 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
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 OA(1289, 32513, F128, 4) (dual of [32513, 32504, 5]-code) | [i] | Truncation | |
| 2 | OA(6412, 32514, S64, 5) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(12816, 2129665, F128, 5) (dual of [2129665, 2129649, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 4 | Linear OOA(12810, 30006, F128, 2, 5) (dual of [(30006, 2), 60002, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(12810, 30006, F128, 3, 5) (dual of [(30006, 3), 90008, 6]-NRT-code) | [i] | ||
| 6 | Linear OOA(12810, 30006, F128, 4, 5) (dual of [(30006, 4), 120014, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(12810, 16257, F128, 2, 5) (dual of [(16257, 2), 32504, 6]-NRT-code) | [i] | OOA Folding | |