Information on Result #699907
Linear OA(12855, 16386, F128, 28) (dual of [16386, 16331, 29]-code), using construction X applied to Ce(27) ⊂ Ce(26) based on
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(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(1697, 16386, S16, 28) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3277, 16386, S32, 28) | [i] | ||
| 3 | OA(6465, 16386, S64, 28) | [i] | ||
| 4 | Linear OA(12869, 16515, F128, 28) (dual of [16515, 16446, 29]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12870, 16536, F128, 28) (dual of [16536, 16466, 29]-code) | [i] | ||
| 6 | Linear OA(12871, 16538, F128, 28) (dual of [16538, 16467, 29]-code) | [i] | ||
| 7 | Linear OA(12872, 16578, F128, 28) (dual of [16578, 16506, 29]-code) | [i] | ||
| 8 | Linear OA(12873, 16580, F128, 28) (dual of [16580, 16507, 29]-code) | [i] | ||
| 9 | Linear OA(12874, 16602, F128, 28) (dual of [16602, 16528, 29]-code) | [i] | ||
| 10 | Linear OA(12875, 16604, F128, 28) (dual of [16604, 16529, 29]-code) | [i] | ||
| 11 | Linear OA(12876, 16644, F128, 28) (dual of [16644, 16568, 29]-code) | [i] | ||
| 12 | Linear OA(12877, 16665, F128, 28) (dual of [16665, 16588, 29]-code) | [i] | ||
| 13 | Linear OA(12878, 16770, F128, 28) (dual of [16770, 16692, 29]-code) | [i] | ||
| 14 | Linear OOA(12855, 8193, F128, 2, 28) (dual of [(8193, 2), 16331, 29]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(12855, 5462, F128, 3, 28) (dual of [(5462, 3), 16331, 29]-NRT-code) | [i] | ||