Information on Result #992894
Linear OOA(12849, 5462, F128, 3, 25) (dual of [(5462, 3), 16337, 26]-NRT-code), using OOA 3-folding based on linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(12861, 5591, F128, 3, 25) (dual of [(5591, 3), 16712, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12862, 5612, F128, 3, 25) (dual of [(5612, 3), 16774, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(12864, 5654, F128, 3, 25) (dual of [(5654, 3), 16898, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(12866, 5678, F128, 3, 25) (dual of [(5678, 3), 16968, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(12867, 5720, F128, 3, 25) (dual of [(5720, 3), 17093, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(12868, 5741, F128, 3, 25) (dual of [(5741, 3), 17155, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(12869, 5762, F128, 3, 25) (dual of [(5762, 3), 17217, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(12870, 5783, F128, 3, 25) (dual of [(5783, 3), 17279, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(12871, 5804, F128, 3, 25) (dual of [(5804, 3), 17341, 26]-NRT-code) | [i] | ||
| 10 | Linear OOA(12871, 5849, F128, 3, 25) (dual of [(5849, 3), 17476, 26]-NRT-code) | [i] | ||