Information on Result #699915
Linear OA(12845, 16386, F128, 23) (dual of [16386, 16341, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) 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 | OA(1679, 16386, S16, 23) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3263, 16386, S32, 23) | [i] | ||
| 3 | OA(6453, 16386, S64, 23) | [i] | ||
| 4 | Linear OA(12856, 16515, F128, 23) (dual of [16515, 16459, 24]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12857, 16536, F128, 23) (dual of [16536, 16479, 24]-code) | [i] | ||
| 6 | Linear OA(12858, 16538, F128, 23) (dual of [16538, 16480, 24]-code) | [i] | ||
| 7 | Linear OA(12859, 16578, F128, 23) (dual of [16578, 16519, 24]-code) | [i] | ||
| 8 | Linear OA(12860, 16580, F128, 23) (dual of [16580, 16520, 24]-code) | [i] | ||
| 9 | Linear OA(12861, 16644, F128, 23) (dual of [16644, 16583, 24]-code) | [i] | ||
| 10 | Linear OA(12862, 16665, F128, 23) (dual of [16665, 16603, 24]-code) | [i] | ||
| 11 | Linear OA(12863, 16770, F128, 23) (dual of [16770, 16707, 24]-code) | [i] | ||
| 12 | Linear OA(12864, 16773, F128, 23) (dual of [16773, 16709, 24]-code) | [i] | ||
| 13 | Linear OA(12865, 16794, F128, 23) (dual of [16794, 16729, 24]-code) | [i] | ||
| 14 | Linear OA(12866, 32772, F128, 23) (dual of [32772, 32706, 24]-code) | [i] | ||
| 15 | Linear OOA(12845, 8193, F128, 2, 23) (dual of [(8193, 2), 16341, 24]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(12845, 5462, F128, 3, 23) (dual of [(5462, 3), 16341, 24]-NRT-code) | [i] | ||