Information on Result #904760
Linear OOA(1289, 8257, F128, 2, 5) (dual of [(8257, 2), 16505, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;256,128) [i]
- linear OOA(1287, 8128, F128, 2, 5) (dual of [(8128, 2), 16249, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1287, 16256, F128, 5) (dual of [16256, 16249, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- OOA 2-folding [i] based on linear OA(1287, 16256, F128, 5) (dual of [16256, 16249, 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(12846, 4202558, F128, 2, 10) (dual of [(4202558, 2), 8405070, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12840, 1056834, F128, 2, 11) (dual of [(1056834, 2), 2113628, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(12850, 4202558, F128, 2, 11) (dual of [(4202558, 2), 8405066, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(12815, 1056896, F128, 2, 5) (dual of [(1056896, 2), 2113777, 6]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(1289, 8256, F128, 3, 5) (dual of [(8256, 3), 24759, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 6 | Linear OOA(1289, 8256, F128, 4, 5) (dual of [(8256, 4), 33015, 6]-NRT-code) | [i] | ||