Information on Result #992402
Linear OOA(12825, 5462, F128, 3, 13) (dual of [(5462, 3), 16361, 14]-NRT-code), using OOA 3-folding based on linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- 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(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12831, 5591, F128, 3, 13) (dual of [(5591, 3), 16742, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12832, 5612, F128, 3, 13) (dual of [(5612, 3), 16804, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(12834, 5720, F128, 3, 13) (dual of [(5720, 3), 17126, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(12835, 5741, F128, 3, 13) (dual of [(5741, 3), 17188, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(12825, 4619, F128, 4, 13) (dual of [(4619, 4), 18451, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (12, 25, 4619)-net over F128 | [i] | ||