Information on Result #1226950
Digital (33, 47, 37514)-net over F64, using (u, u+v)-construction based on
- digital (0, 7, 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 (26, 40, 37449)-net over F64, using
- net defined by OOA [i] based on linear OOA(6440, 37449, F64, 14, 14) (dual of [(37449, 14), 524246, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(6440, 262143, F64, 14) (dual of [262143, 262103, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(6440, 262143, F64, 14) (dual of [262143, 262103, 15]-code), using
- net defined by OOA [i] based on linear OOA(6440, 37449, F64, 14, 14) (dual of [(37449, 14), 524246, 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.