Information on Result #952948
Linear OOA(3168, 177166, F3, 3, 20) (dual of [(177166, 3), 531330, 21]-NRT-code), using OOA 3-folding based on linear OA(3168, 531498, F3, 20) (dual of [531498, 531330, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3168, 531500, F3, 20) (dual of [531500, 531332, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3109, 531441, F3, 14) (dual of [531441, 531332, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
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(3168, 177166, F3, 4, 20) (dual of [(177166, 4), 708496, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3168, 177166, F3, 5, 20) (dual of [(177166, 5), 885662, 21]-NRT-code) | [i] | ||
| 3 | Digital (148, 168, 177166)-net over F3 | [i] | ||