Information on Result #1182780
Digital (25, 32, 733)-net over F3, using net defined by OOA based on linear OOA(332, 733, F3, 7, 7) (dual of [(733, 7), 5099, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(332, 2200, F3, 7) (dual of [2200, 2168, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(315, 2187, F3, 4) (dual of [2187, 2172, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(6) ⊂ Ce(3) [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 (154, 168, 1199104)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (230, 244, 4794217)-net over F3 | [i] | ||
| 3 | Digital (167, 182, 1199104)-net over F3 | [i] | ||