Information on Result #907182
Linear OOA(12869, 4194688, F128, 2, 15) (dual of [(4194688, 2), 8389307, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 387, F128, 2, 7) (dual of [(387, 2), 762, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] 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(1283, 129, F128, 2, 3) (dual of [(129, 2), 255, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;255,128) [i]
- linear OOA(1287, 129, F128, 2, 7) (dual of [(129, 2), 251, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;251,128) [i]
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12857, 4194301, F128, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12857, 8388602, F128, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(12857, 8388602, F128, 15) (dual of [8388602, 8388545, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(12869, 2097344, F128, 4, 15) (dual of [(2097344, 4), 8389307, 16]-NRT-code) | [i] | OOA Folding | |