Information on Result #699912
Linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-code), using construction X applied to Ce(24) ⊂ Ce(23) 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 | OA(1686, 16386, S16, 25) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3269, 16386, S32, 25) | [i] | ||
| 3 | OA(6458, 16386, S64, 25) | [i] | ||
| 4 | Linear OA(12861, 16515, F128, 25) (dual of [16515, 16454, 26]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12862, 16536, F128, 25) (dual of [16536, 16474, 26]-code) | [i] | ||
| 6 | Linear OA(12863, 16538, F128, 25) (dual of [16538, 16475, 26]-code) | [i] | ||
| 7 | Linear OA(12864, 16578, F128, 25) (dual of [16578, 16514, 26]-code) | [i] | ||
| 8 | Linear OA(12865, 16580, F128, 25) (dual of [16580, 16515, 26]-code) | [i] | ||
| 9 | Linear OA(12866, 16602, F128, 25) (dual of [16602, 16536, 26]-code) | [i] | ||
| 10 | Linear OA(12867, 16644, F128, 25) (dual of [16644, 16577, 26]-code) | [i] | ||
| 11 | Linear OA(12868, 16665, F128, 25) (dual of [16665, 16597, 26]-code) | [i] | ||
| 12 | Linear OA(12869, 16771, F128, 25) (dual of [16771, 16702, 26]-code) | [i] | ||
| 13 | Linear OA(12870, 16773, F128, 25) (dual of [16773, 16703, 26]-code) | [i] | ||
| 14 | Linear OA(12871, 16776, F128, 25) (dual of [16776, 16705, 26]-code) | [i] | ||
| 15 | Linear OA(12872, 32772, F128, 25) (dual of [32772, 32700, 26]-code) | [i] | ||
| 16 | Linear OOA(12849, 8193, F128, 2, 25) (dual of [(8193, 2), 16337, 26]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(12849, 5462, F128, 3, 25) (dual of [(5462, 3), 16337, 26]-NRT-code) | [i] | ||