Information on Result #1179346
Digital (32, 38, 6567)-net over F3, using net defined by OOA based on linear OOA(338, 6567, F3, 6, 6) (dual of [(6567, 6), 39364, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(338, 6567, F3, 5, 6) (dual of [(6567, 5), 32797, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(338, 19701, F3, 6) (dual of [19701, 19663, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(338, 19702, F3, 6) (dual of [19702, 19664, 7]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(337, 19683, F3, 7) (dual of [19683, 19646, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(319, 19683, F3, 4) (dual of [19683, 19664, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(31, 19, F3, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(338, 19702, F3, 6) (dual of [19702, 19664, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(338, 19701, F3, 6) (dual of [19701, 19663, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (206, 218, 5598967)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (221, 234, 5598967)-net over F3 | [i] | ||