Information on Result #699906
Linear OA(12857, 16386, F128, 29) (dual of [16386, 16329, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(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(16100, 16386, S16, 29) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3280, 16386, S32, 29) | [i] | ||
| 3 | OA(6467, 16386, S64, 29) | [i] | ||
| 4 | Linear OA(12871, 16515, F128, 29) (dual of [16515, 16444, 30]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12872, 16536, F128, 29) (dual of [16536, 16464, 30]-code) | [i] | ||
| 6 | Linear OA(12873, 16538, F128, 29) (dual of [16538, 16465, 30]-code) | [i] | ||
| 7 | Linear OA(12874, 16578, F128, 29) (dual of [16578, 16504, 30]-code) | [i] | ||
| 8 | Linear OA(12875, 16580, F128, 29) (dual of [16580, 16505, 30]-code) | [i] | ||
| 9 | Linear OA(12876, 16602, F128, 29) (dual of [16602, 16526, 30]-code) | [i] | ||
| 10 | Linear OA(12877, 16604, F128, 29) (dual of [16604, 16527, 30]-code) | [i] | ||
| 11 | Linear OA(12878, 16644, F128, 29) (dual of [16644, 16566, 30]-code) | [i] | ||
| 12 | Linear OOA(12857, 8193, F128, 2, 29) (dual of [(8193, 2), 16329, 30]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(12857, 5462, F128, 3, 29) (dual of [(5462, 3), 16329, 30]-NRT-code) | [i] | ||