Information on Result #878510
Linear OOA(12857, 4194301, F128, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using OOA 2-folding 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]
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(12859, 4194302, F128, 2, 15) (dual of [(4194302, 2), 8388545, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12861, 4194303, F128, 2, 15) (dual of [(4194303, 2), 8388545, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(12863, 4194304, F128, 2, 15) (dual of [(4194304, 2), 8388545, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(12858, 4194301, F128, 2, 15) (dual of [(4194301, 2), 8388544, 16]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(12864, 4194430, F128, 2, 15) (dual of [(4194430, 2), 8388796, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(12865, 4194451, F128, 2, 15) (dual of [(4194451, 2), 8388837, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(12867, 4194559, F128, 2, 15) (dual of [(4194559, 2), 8389051, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(12868, 4194580, F128, 2, 15) (dual of [(4194580, 2), 8389092, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(12869, 4194601, F128, 2, 15) (dual of [(4194601, 2), 8389133, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(12870, 4202494, F128, 2, 15) (dual of [(4202494, 2), 8404918, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(12871, 4202496, F128, 2, 15) (dual of [(4202496, 2), 8404921, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(12872, 4202497, F128, 2, 15) (dual of [(4202497, 2), 8404922, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(12873, 4202623, F128, 2, 15) (dual of [(4202623, 2), 8405173, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(12874, 4210687, F128, 2, 15) (dual of [(4210687, 2), 8421300, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(12875, 4210691, F128, 2, 15) (dual of [(4210691, 2), 8421307, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(12876, 5242878, F128, 2, 15) (dual of [(5242878, 2), 10485680, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(12877, 5242881, F128, 2, 15) (dual of [(5242881, 2), 10485685, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(12878, 5242882, F128, 2, 15) (dual of [(5242882, 2), 10485686, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(12869, 4194688, F128, 2, 15) (dual of [(4194688, 2), 8389307, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(12873, 4210813, F128, 2, 15) (dual of [(4210813, 2), 8421553, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(12874, 4210834, F128, 2, 15) (dual of [(4210834, 2), 8421594, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(12875, 4210855, F128, 2, 15) (dual of [(4210855, 2), 8421635, 16]-NRT-code) | [i] | ||