Information on Result #1224899
Digital (50, 64, 149874)-net over F32, using (u, u+v)-construction based on
- digital (4, 11, 77)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (0, 3, 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, 8, 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, 3, 33)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (39, 53, 149797)-net over F32, using
- net defined by OOA [i] based on linear OOA(3253, 149797, F32, 14, 14) (dual of [(149797, 14), 2097105, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3253, 1048579, F32, 14) (dual of [1048579, 1048526, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3253, 1048580, F32, 14) (dual of [1048580, 1048527, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(3253, 1048576, F32, 14) (dual of [1048576, 1048523, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3249, 1048576, F32, 13) (dual of [1048576, 1048527, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3253, 1048580, F32, 14) (dual of [1048580, 1048527, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(3253, 1048579, F32, 14) (dual of [1048579, 1048526, 15]-code), using
- net defined by OOA [i] based on linear OOA(3253, 149797, F32, 14, 14) (dual of [(149797, 14), 2097105, 15]-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.