Information on Result #816405
Linear OOA(3250, 9858, F3, 2, 41) (dual of [(9858, 2), 19466, 42]-NRT-code), using OOA 2-folding based on linear OA(3250, 19716, F3, 41) (dual of [19716, 19466, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(36) [i] based on
- linear OA(3244, 19683, F3, 41) (dual of [19683, 19439, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3250, 9727, F3, 3, 41) (dual of [(9727, 3), 28931, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3250, 9727, F3, 4, 41) (dual of [(9727, 4), 38658, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(3250, 9727, F3, 5, 41) (dual of [(9727, 5), 48385, 42]-NRT-code) | [i] | ||
| 4 | Digital (209, 250, 9727)-net over F3 | [i] | ||