Information on Result #992321
Linear OOA(12819, 5462, F128, 3, 10) (dual of [(5462, 3), 16367, 11]-NRT-code), using OOA 3-folding based on linear OA(12819, 16386, F128, 10) (dual of [16386, 16367, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12817, 16384, F128, 9) (dual of [16384, 16367, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(12824, 5591, F128, 3, 10) (dual of [(5591, 3), 16749, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12825, 5612, F128, 3, 10) (dual of [(5612, 3), 16811, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(12826, 10924, F128, 3, 10) (dual of [(10924, 3), 32746, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(12819, 5462, F128, 4, 10) (dual of [(5462, 4), 21829, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (9, 19, 5462)-net over F128 | [i] | ||