Information on Result #1183024
Digital (35, 44, 550)-net over F3, using net defined by OOA based on linear OOA(344, 550, F3, 9, 9) (dual of [(550, 9), 4906, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(344, 2201, F3, 9) (dual of [2201, 2157, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(344, 2203, F3, 9) (dual of [2203, 2159, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(343, 2188, F3, 9) (dual of [2188, 2145, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(329, 2188, F3, 7) (dual of [2188, 2159, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 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([0,4]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(344, 2203, F3, 9) (dual of [2203, 2159, 10]-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, 225, 932616)-net over F3 | [i] | (u, u+v)-Construction for Nets | |