Information on Result #904808
Linear OOA(12842, 8388602, F128, 2, 8) (dual of [(8388602, 2), 16777162, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 4194301, F128, 2, 4) (dual of [(4194301, 2), 8388589, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12813, 8388602, F128, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(12813, large, F128, 4) (dual of [large, large−13, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(12813, large, F128, 4) (dual of [large, large−13, 5]-code), using
- OOA 2-folding [i] based on linear OA(12813, 8388602, F128, 4) (dual of [8388602, 8388589, 5]-code), using
- linear OOA(12829, 4194301, F128, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] 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]
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- OOA 2-folding [i] based on linear OA(12829, 8388602, F128, 8) (dual of [8388602, 8388573, 9]-code), using
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(12844, large, F128, 2, 8) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12846, large, F128, 2, 8) | [i] | ||
| 3 | Linear OOA(12848, large, F128, 2, 8) | [i] | ||
| 4 | Linear OOA(12850, large, F128, 2, 8) | [i] | ||
| 5 | Linear OOA(12852, large, F128, 2, 8) | [i] | ||
| 6 | Linear OOA(12854, large, F128, 2, 8) | [i] | ||
| 7 | Linear OOA(12856, large, F128, 2, 8) | [i] | ||
| 8 | Linear OOA(12858, large, F128, 2, 8) | [i] | ||
| 9 | Linear OOA(12860, large, F128, 2, 8) | [i] | ||
| 10 | Linear OOA(12862, large, F128, 2, 8) | [i] | ||
| 11 | Linear OOA(12864, large, F128, 2, 8) | [i] | ||
| 12 | Linear OOA(12866, large, F128, 2, 8) | [i] | ||
| 13 | Linear OOA(12868, large, F128, 2, 8) | [i] | ||
| 14 | Linear OOA(12870, large, F128, 2, 8) | [i] | ||
| 15 | Linear OOA(12872, large, F128, 2, 8) | [i] | ||
| 16 | Linear OOA(12874, large, F128, 2, 8) | [i] | ||
| 17 | Linear OOA(12876, large, F128, 2, 8) | [i] | ||
| 18 | Linear OOA(12878, large, F128, 2, 8) | [i] | ||
| 19 | Linear OOA(12843, 8388602, F128, 2, 8) (dual of [(8388602, 2), 16777161, 9]-NRT-code) | [i] | OOA Duplication | |
| 20 | Linear OOA(12842, 4194301, F128, 3, 8) (dual of [(4194301, 3), 12582861, 9]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(12842, 4194301, F128, 4, 8) (dual of [(4194301, 4), 16777162, 9]-NRT-code) | [i] | ||
| 22 | Linear OOA(12842, 4194300, F128, 10, 8) (dual of [(4194300, 10), 41942958, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |