Information on Result #1224613
Digital (13, 22, 300)-net over F32, using (u, u+v)-construction based on
- digital (1, 5, 44)-net over F32, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- digital (8, 17, 256)-net over F32, using
- net defined by OOA [i] based on linear OOA(3217, 256, F32, 9, 9) (dual of [(256, 9), 2287, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(3217, 1025, F32, 9) (dual of [1025, 1008, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 4-folding and stacking with additional row [i] based on linear OA(3217, 1025, F32, 9) (dual of [1025, 1008, 10]-code), using
- net defined by OOA [i] based on linear OOA(3217, 256, F32, 9, 9) (dual of [(256, 9), 2287, 10]-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 (90, 108, 932367)-net over F32 | [i] | (u, u+v)-Construction for Nets | |