Information on Result #1070063
Linear OOA(12831, 2097151, F128, 4, 8) (dual of [(2097151, 4), 8388573, 9]-NRT-code), using OOA 2-folding based on linear OOA(12831, 4194302, F128, 2, 8) (dual of [(4194302, 2), 8388573, 9]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12829, 4194301, F128, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12829, 8388602, F128, 8) (dual of [8388602, 8388573, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- OOA 2-folding [i] based on linear OA(12829, 8388602, F128, 8) (dual of [8388602, 8388573, 9]-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(12832, 2097151, F128, 4, 8) (dual of [(2097151, 4), 8388572, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12844, 4194302, F128, 4, 8) (dual of [(4194302, 4), 16777164, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |