Information on Result #1178952
Digital (17, 22, 1096)-net over F3, using net defined by OOA based on linear OOA(322, 1096, F3, 5, 5) (dual of [(1096, 5), 5458, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(322, 2193, F3, 5) (dual of [2193, 2171, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(322, 2194, F3, 5) (dual of [2194, 2172, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- 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(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(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(322, 2194, F3, 5) (dual of [2194, 2172, 6]-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 (103, 113, 1678816)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (160, 170, 6711976)-net over F3 | [i] | ||
| 3 | Digital (175, 186, 6711976)-net over F3 | [i] | ||