Information on Result #878413
Linear OOA(12845, 4194301, F128, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using OOA 2-folding based on linear OA(12845, 8388602, F128, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(12847, 4194302, F128, 2, 12) (dual of [(4194302, 2), 8388557, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12849, 4194303, F128, 2, 12) (dual of [(4194303, 2), 8388557, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(12846, 4194301, F128, 2, 12) (dual of [(4194301, 2), 8388556, 13]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(12851, 4194430, F128, 2, 12) (dual of [(4194430, 2), 8388809, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(12852, 4194451, F128, 2, 12) (dual of [(4194451, 2), 8388850, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(12854, 4194559, F128, 2, 12) (dual of [(4194559, 2), 8389064, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(12855, 4194580, F128, 2, 12) (dual of [(4194580, 2), 8389105, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(12856, 4202494, F128, 2, 12) (dual of [(4202494, 2), 8404932, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(12857, 4202495, F128, 2, 12) (dual of [(4202495, 2), 8404933, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(12858, 4202497, F128, 2, 12) (dual of [(4202497, 2), 8404936, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(12859, 4202623, F128, 2, 12) (dual of [(4202623, 2), 8405187, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(12860, 4210687, F128, 2, 12) (dual of [(4210687, 2), 8421314, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(12861, 5242878, F128, 2, 12) (dual of [(5242878, 2), 10485695, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(12862, 5242881, F128, 2, 12) (dual of [(5242881, 2), 10485700, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(12863, 5242882, F128, 2, 12) (dual of [(5242882, 2), 10485701, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(12864, 5243007, F128, 2, 12) (dual of [(5243007, 2), 10485950, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(12865, 5259263, F128, 2, 12) (dual of [(5259263, 2), 10518461, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(12866, 8388602, F128, 2, 12) (dual of [(8388602, 2), 16777138, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(12859, 4210813, F128, 2, 12) (dual of [(4210813, 2), 8421567, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(12860, 4210834, F128, 2, 12) (dual of [(4210834, 2), 8421608, 13]-NRT-code) | [i] | ||