Information on Result #878587
Linear OOA(12865, 4194301, F128, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using OOA 2-folding based on linear OA(12865, 8388602, F128, 17) (dual of [8388602, 8388537, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12865, large, F128, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
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(12867, 4194302, F128, 2, 17) (dual of [(4194302, 2), 8388537, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12869, 4194303, F128, 2, 17) (dual of [(4194303, 2), 8388537, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(12871, 4194304, F128, 2, 17) (dual of [(4194304, 2), 8388537, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(12866, 4194301, F128, 2, 17) (dual of [(4194301, 2), 8388536, 18]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(12873, 4194430, F128, 2, 17) (dual of [(4194430, 2), 8388787, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(12874, 4194451, F128, 2, 17) (dual of [(4194451, 2), 8388828, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(12876, 4194493, F128, 2, 17) (dual of [(4194493, 2), 8388910, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(12877, 4194559, F128, 2, 17) (dual of [(4194559, 2), 8389041, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(12878, 4194580, F128, 2, 17) (dual of [(4194580, 2), 8389082, 18]-NRT-code) | [i] | ||