Information on Result #878319
Linear OOA(12829, 4194301, F128, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using OOA 2-folding 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]
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(12831, 4194302, F128, 2, 8) (dual of [(4194302, 2), 8388573, 9]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12830, 4194301, F128, 2, 8) (dual of [(4194301, 2), 8388572, 9]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(12833, 4194430, F128, 2, 8) (dual of [(4194430, 2), 8388827, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(12834, 4194451, F128, 2, 8) (dual of [(4194451, 2), 8388868, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(12835, 4202429, F128, 2, 8) (dual of [(4202429, 2), 8404823, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(12836, 4202494, F128, 2, 8) (dual of [(4202494, 2), 8404952, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(12837, 4202558, F128, 2, 8) (dual of [(4202558, 2), 8405079, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(12838, 4210557, F128, 2, 8) (dual of [(4210557, 2), 8421076, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(12839, 5242878, F128, 2, 8) (dual of [(5242878, 2), 10485717, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(12840, 5242881, F128, 2, 8) (dual of [(5242881, 2), 10485722, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(12841, 5243007, F128, 2, 8) (dual of [(5243007, 2), 10485973, 9]-NRT-code) | [i] | ||
| 12 | Linear OOA(12842, 8388602, F128, 2, 8) (dual of [(8388602, 2), 16777162, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(12837, 4210813, F128, 2, 8) (dual of [(4210813, 2), 8421589, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(12838, 4210834, F128, 2, 8) (dual of [(4210834, 2), 8421630, 9]-NRT-code) | [i] | ||