Information on Result #1185222
Digital (131, 156, 1644)-net over F3, using net defined by OOA based on linear OOA(3156, 1644, F3, 25, 25) (dual of [(1644, 25), 40944, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3156, 19729, F3, 25) (dual of [19729, 19573, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 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 C([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-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 (132, 156, 1644)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (132, 157, 1644)-net over F3 | [i] | Net Duplication | |
| 3 | Digital (131, 155, 1644)-net over F3 | [i] | m-Reduction | |