Information on Result #992974
Linear OOA(12853, 5462, F128, 3, 27) (dual of [(5462, 3), 16333, 28]-NRT-code), using OOA 3-folding based on linear OA(12853, 16386, F128, 27) (dual of [16386, 16333, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(12866, 5591, F128, 3, 27) (dual of [(5591, 3), 16707, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12867, 5612, F128, 3, 27) (dual of [(5612, 3), 16769, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(12869, 5654, F128, 3, 27) (dual of [(5654, 3), 16893, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(12871, 5678, F128, 3, 27) (dual of [(5678, 3), 16963, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(12872, 5720, F128, 3, 27) (dual of [(5720, 3), 17088, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(12873, 5741, F128, 3, 27) (dual of [(5741, 3), 17150, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(12874, 5762, F128, 3, 27) (dual of [(5762, 3), 17212, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(12875, 5783, F128, 3, 27) (dual of [(5783, 3), 17274, 28]-NRT-code) | [i] | ||
| 9 | Linear OOA(12876, 5804, F128, 3, 27) (dual of [(5804, 3), 17336, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(12877, 5807, F128, 3, 27) (dual of [(5807, 3), 17344, 28]-NRT-code) | [i] | ||
| 11 | Linear OOA(12876, 5849, F128, 3, 27) (dual of [(5849, 3), 17471, 28]-NRT-code) | [i] | ||
| 12 | Linear OOA(12877, 5870, F128, 3, 27) (dual of [(5870, 3), 17533, 28]-NRT-code) | [i] | ||