Information on Result #878339
Linear OOA(12833, 4194301, F128, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using OOA 2-folding based on linear OA(12833, 8388602, F128, 9) (dual of [8388602, 8388569, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(12835, 4194302, F128, 2, 9) (dual of [(4194302, 2), 8388569, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12834, 4194301, F128, 2, 9) (dual of [(4194301, 2), 8388568, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(12837, 4194430, F128, 2, 9) (dual of [(4194430, 2), 8388823, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(12838, 4194451, F128, 2, 9) (dual of [(4194451, 2), 8388864, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(12839, 4202429, F128, 2, 9) (dual of [(4202429, 2), 8404819, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(12840, 4202494, F128, 2, 9) (dual of [(4202494, 2), 8404948, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(12841, 4202558, F128, 2, 9) (dual of [(4202558, 2), 8405075, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(12842, 4210557, F128, 2, 9) (dual of [(4210557, 2), 8421072, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(12843, 5242878, F128, 2, 9) (dual of [(5242878, 2), 10485713, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(12844, 5242881, F128, 2, 9) (dual of [(5242881, 2), 10485718, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(12845, 5243007, F128, 2, 9) (dual of [(5243007, 2), 10485969, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(12846, 8388602, F128, 2, 9) (dual of [(8388602, 2), 16777158, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(12841, 4210813, F128, 2, 9) (dual of [(4210813, 2), 8421585, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(12842, 4210834, F128, 2, 9) (dual of [(4210834, 2), 8421626, 10]-NRT-code) | [i] | ||