Information on Result #699928
Linear OA(12827, 16386, F128, 14) (dual of [16386, 16359, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(1648, 16386, S16, 14) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3238, 16386, S32, 14) | [i] | ||
| 3 | OA(6432, 16386, S64, 14) | [i] | ||
| 4 | Linear OA(12834, 16515, F128, 14) (dual of [16515, 16481, 15]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12835, 16536, F128, 14) (dual of [16536, 16501, 15]-code) | [i] | ||
| 6 | Linear OA(12836, 16538, F128, 14) (dual of [16538, 16502, 15]-code) | [i] | ||
| 7 | Linear OA(12837, 16644, F128, 14) (dual of [16644, 16607, 15]-code) | [i] | ||
| 8 | Linear OA(12838, 16769, F128, 14) (dual of [16769, 16731, 15]-code) | [i] | ||
| 9 | Linear OA(12839, 16773, F128, 14) (dual of [16773, 16734, 15]-code) | [i] | ||
| 10 | Linear OOA(12827, 8193, F128, 2, 14) (dual of [(8193, 2), 16359, 15]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(12827, 5462, F128, 3, 14) (dual of [(5462, 3), 16359, 15]-NRT-code) | [i] | ||