Information on Result #1225059
Digital (61, 78, 131149)-net over F32, using (u, u+v)-construction based on
- digital (5, 13, 77)-net over F32, using
- (u, u+v)-construction [i] 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 (1, 9, 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 (0, 4, 33)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (48, 65, 131072)-net over F32, using
- net defined by OOA [i] based on linear OOA(3265, 131072, F32, 17, 17) (dual of [(131072, 17), 2228159, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(3265, 1048577, F32, 17) (dual of [1048577, 1048512, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 8-folding and stacking with additional row [i] based on linear OA(3265, 1048577, F32, 17) (dual of [1048577, 1048512, 18]-code), using
- net defined by OOA [i] based on linear OOA(3265, 131072, F32, 17, 17) (dual of [(131072, 17), 2228159, 18]-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
None.