Information on Result #993046
Linear OOA(12857, 5462, F128, 3, 29) (dual of [(5462, 3), 16329, 30]-NRT-code), using OOA 3-folding based on linear OA(12857, 16386, F128, 29) (dual of [16386, 16329, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] 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 | Linear OOA(12871, 5591, F128, 3, 29) (dual of [(5591, 3), 16702, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12872, 5612, F128, 3, 29) (dual of [(5612, 3), 16764, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(12874, 5654, F128, 3, 29) (dual of [(5654, 3), 16888, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(12876, 5678, F128, 3, 29) (dual of [(5678, 3), 16958, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(12878, 5720, F128, 3, 29) (dual of [(5720, 3), 17082, 30]-NRT-code) | [i] | ||