Information on Result #1185478
Digital (211, 239, 113882)-net over F3, using net defined by OOA based on linear OOA(3239, 113882, F3, 28, 28) (dual of [(113882, 28), 3188457, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(3239, 1594348, F3, 28) (dual of [1594348, 1594109, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-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 (212, 240, 113882)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (213, 241, 113882)-net over F3 | [i] | ||
| 3 | Digital (214, 242, 113882)-net over F3 | [i] | ||