Information on Result #1184900
Digital (107, 128, 1970)-net over F3, using net defined by OOA based on linear OOA(3128, 1970, F3, 21, 21) (dual of [(1970, 21), 41242, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3128, 19701, F3, 21) (dual of [19701, 19573, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3128, 19703, F3, 21) (dual of [19703, 19575, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(3127, 19684, F3, 21) (dual of [19684, 19557, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(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 C([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3128, 19703, F3, 21) (dual of [19703, 19575, 22]-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 (108, 129, 1970)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (109, 130, 1970)-net over F3 | [i] | ||
| 3 | Digital (110, 131, 1970)-net over F3 | [i] | ||
| 4 | Digital (111, 132, 1970)-net over F3 | [i] | ||