Information on Result #1070243
Linear OOA(12851, 2097151, F128, 4, 13) (dual of [(2097151, 4), 8388553, 14]-NRT-code), using OOA 2-folding based on linear OOA(12851, 4194302, F128, 2, 13) (dual of [(4194302, 2), 8388553, 14]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12849, 4194301, F128, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 14]-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(12852, 2097151, F128, 4, 13) (dual of [(2097151, 4), 8388552, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12853, 2097151, F128, 4, 13) (dual of [(2097151, 4), 8388551, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(12854, 2097151, F128, 4, 13) (dual of [(2097151, 4), 8388550, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(12872, 4194302, F128, 4, 13) (dual of [(4194302, 4), 16777136, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |