Information on Result #992809
Linear OOA(12845, 5462, F128, 3, 23) (dual of [(5462, 3), 16341, 24]-NRT-code), using OOA 3-folding based on linear OA(12845, 16386, F128, 23) (dual of [16386, 16341, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(12856, 5591, F128, 3, 23) (dual of [(5591, 3), 16717, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12857, 5612, F128, 3, 23) (dual of [(5612, 3), 16779, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(12859, 5654, F128, 3, 23) (dual of [(5654, 3), 16903, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(12861, 5720, F128, 3, 23) (dual of [(5720, 3), 17099, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(12862, 5741, F128, 3, 23) (dual of [(5741, 3), 17161, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(12863, 5762, F128, 3, 23) (dual of [(5762, 3), 17223, 24]-NRT-code) | [i] | ||
| 7 | Linear OOA(12864, 5783, F128, 3, 23) (dual of [(5783, 3), 17285, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(12865, 5804, F128, 3, 23) (dual of [(5804, 3), 17347, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(12864, 5849, F128, 3, 23) (dual of [(5849, 3), 17483, 24]-NRT-code) | [i] | ||
| 10 | Linear OOA(12865, 5870, F128, 3, 23) (dual of [(5870, 3), 17545, 24]-NRT-code) | [i] | ||