Information on Result #1179350
Digital (34, 40, 19683)-net over F3, using net defined by OOA based on linear OOA(340, 19683, F3, 6, 6) (dual of [(19683, 6), 118058, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(340, 19683, F3, 5, 6) (dual of [(19683, 5), 98375, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(340, 59049, F3, 6) (dual of [59049, 59009, 7]-code), using
- 1 times truncation [i] based on linear OA(341, 59050, F3, 7) (dual of [59050, 59009, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(341, 59050, F3, 7) (dual of [59050, 59009, 8]-code), using
- OA 3-folding and stacking [i] based on linear OA(340, 59049, F3, 6) (dual of [59049, 59009, 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 (208, 220, 5612083)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (223, 236, 5612083)-net over F3 | [i] | ||