Information on Result #1182894
Digital (31, 39, 550)-net over F3, using net defined by OOA based on linear OOA(339, 550, F3, 8, 8) (dual of [(550, 8), 4361, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(339, 2200, F3, 8) (dual of [2200, 2161, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
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 (174, 190, 1049125)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (188, 205, 1049125)-net over F3 | [i] | ||