Information on Result #1198848
Digital (8, 16, 257)-net over F32, using net defined by OOA based on linear OOA(3216, 257, F32, 8, 8) (dual of [(257, 8), 2040, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(3216, 1028, F32, 8) (dual of [1028, 1012, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, 1029, F32, 8) (dual of [1029, 1013, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(3215, 1024, F32, 8) (dual of [1024, 1009, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(3211, 1024, F32, 6) (dual of [1024, 1013, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(3216, 1029, F32, 8) (dual of [1029, 1013, 9]-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 (76, 92, 1048832)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (80, 97, 1048832)-net over F32 | [i] | ||