Information on Result #1226793
Digital (12, 21, 1089)-net over F64, using (u, u+v)-construction based on
- digital (0, 4, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- digital (8, 17, 1024)-net over F64, using
- net defined by OOA [i] based on linear OOA(6417, 1024, F64, 9, 9) (dual of [(1024, 9), 9199, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, 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(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using
- net defined by OOA [i] based on linear OOA(6417, 1024, F64, 9, 9) (dual of [(1024, 9), 9199, 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 (72, 90, 933156)-net over F64 | [i] | (u, u+v)-Construction for Nets | |