Information on Result #1224575
Digital (11, 19, 289)-net over F32, using (u, u+v)-construction based on
- digital (0, 4, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 0 and N(F) ≥ 33, using
- the rational function field F32(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- digital (7, 15, 256)-net over F32, using
- net defined by OOA [i] based on linear OOA(3215, 256, F32, 8, 8) (dual of [(256, 8), 2033, 9]-NRT-code), using
- OA 4-folding and stacking [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]
- OA 4-folding and stacking [i] based on linear OA(3215, 1024, F32, 8) (dual of [1024, 1009, 9]-code), using
- net defined by OOA [i] based on linear OOA(3215, 256, F32, 8, 8) (dual of [(256, 8), 2033, 9]-NRT-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 (79, 95, 1048864)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (83, 100, 1048864)-net over F32 | [i] | ||